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Photodisintegration

Photodisintegration is a nuclear reaction in which an atomic nucleus absorbs a high-energy photon, typically a gamma ray with energy exceeding the nuclear binding energy threshold (often 5–30 MeV depending on the nucleus and reaction channel), leading to the excitation and subsequent emission of one or more particles such as neutrons, protons, or alpha particles, thereby breaking the nucleus into lighter fragments.^[1] This process, also known as the nuclear photo-effect, is the inverse of radiative capture reactions and is characterized by specific mechanisms like the giant dipole resonance (GDR), where the photon induces an oscillation between protons and neutrons in the nucleus, peaking at energies around 15–25 MeV for most nuclei.^[1] The phenomenon was first experimentally observed in 1934 by James Chadwick and Maurice Goldhaber, who reported the disintegration of the deuteron (diplon) into a proton and neutron upon exposure to gamma rays from radium sources, providing early evidence for the nuclear photoelectric effect and confirming the loosely bound nature of the deuteron with a binding energy of 2.224 MeV.^[2] Subsequent studies in the mid-20th century, using bremsstrahlung radiation and electron accelerators, mapped cross-sections for various isotopes, revealing threshold energies as low as 1.67 MeV for ^{9}Be(γ,n)^[3] and around 5.67 MeV for ^{6}Li(γ,n),^[3] and highlighting the role of quasi-deuteron effects at higher energies above 30 MeV.^[1] In nuclear physics, photodisintegration serves as a probe for nuclear structure, enabling measurements of binding energies, level densities, and particle emission probabilities through detailed balance principles, with applications in modeling neutron sources (e.g., via deuteron photodisintegration in heavy water) and validating statistical reaction codes like GNASH.^[1] It also plays a critical role in practical fields such as radiation therapy for cancer treatment, where high-energy photons induce nuclear reactions in tissue, and in security applications like cargo scanning via photofission detection in heavy elements.^[1] In astrophysics, photodisintegration is essential for understanding high-temperature nuclear processes, such as the p-process in supernovae where gamma rays photodisintegrate seed nuclei to produce proton-rich isotopes, and the propagation of ultra-high-energy cosmic rays, where interactions with cosmic microwave background photons cause progressive nucleus fragmentation over cosmic distances.^[4]^[5] During Big Bang nucleosynthesis, it limits the abundance of light elements by reversing fusion reactions at early universe temperatures above 10^9 K, while in stellar cores, it contributes to energy release in advanced evolutionary stages like the silicon burning phase.^[1]

Fundamentals

Definition and Process

Photodisintegration, also known as a photonuclear reaction, is a nuclear process in which an atomic nucleus absorbs a high-energy gamma-ray photon, leading to the ejection of one or more nucleons (protons or neutrons) and resulting in the fragmentation of the nucleus into lighter components. This reaction represents the reverse of radiative capture, where free nucleons combine with a nucleus to form a bound state while emitting a photon.^[1] The basic process of photodisintegration involves several key steps. Initially, the incident gamma-ray photon is absorbed by the nucleus, exciting it to a high-energy state above the ground level. This excitation disrupts the nuclear binding, causing the nucleus to become unstable. To return to a lower energy configuration, the excited nucleus subsequently emits particles—commonly protons, neutrons, or alpha particles—through processes such as evaporation or direct knockout. Unlike the photoelectric effect, which ejects electrons from atomic orbitals via photon absorption, photodisintegration operates at the nuclear scale and requires significantly higher photon energies to overcome the strong nuclear force.^[6] The overall energy balance for the reaction can be expressed as

E_{\gamma} = E_b + E_{\rm kin},

where E_{\gamma} is the energy of the incident photon, E_b is the separation (or binding) energy of the emitted particle, and E_{\rm kin} is the total kinetic energy of the resulting fragments.^[2] The phenomenon was first experimentally observed in 1934 by James Chadwick and Maurice Goldhaber, who detected the disintegration of deuterium (the deuteron, or "diplon") under irradiation by gamma rays from radium sources, marking the initial demonstration of a nuclear photo-effect.^[2] This discovery highlighted the interaction between electromagnetic radiation and nuclear matter. Photodisintegration generally requires incident photons with energies exceeding the relevant nuclear binding energies, ranging from about 2 MeV (e.g., deuterium) to around 20 MeV (e.g., carbon) for light nuclei, as these energies are sufficient to break the strong nuclear bonds holding nucleons together.^[1]

Threshold Energy

The threshold energy in photodisintegration represents the minimum photon energy required to initiate the nuclear reaction by overcoming the binding energy of the ejected particle, with an additional contribution from the [Coulomb barrier](/page/Coulomb barrier) in cases involving charged particle emission such as protons or alpha particles. For neutral particle emission, like in the (γ, n) reaction, the process is endothermic, and the threshold is primarily determined by the neutron separation energy S_n, which is the energy needed to remove a neutron from the nucleus. This separation energy arises from the mass difference between the target nucleus and the residual nucleus plus the free neutron, ensuring the reaction's Q-value is negative, thereby requiring an input photon energy greater than zero to proceed.^[1] The precise threshold energy E_{\rm th} for the (γ, n) reaction, accounting for kinematic recoil, is E_{\rm th} = S_n \left(1 + \frac{S_n}{2 M_A c^2}\right), where S_n is the neutron separation energy and M_A is the target mass; this is very close to S_n since the correction term is small (on the order of keV). In practice, E_{\rm th} \approx S_n. S_n values range from about 2.2 MeV for deuterium to higher values for other light nuclei, directly setting the onset of the cross-section.^[1] Several factors influence the threshold energy, including the size and charge of the nucleus. For heavier nuclei, the Coulomb barrier significantly raises the effective threshold for charged particle channels due to the electrostatic repulsion that the outgoing charged particle must tunnel through, often adding several MeV to the separation energy; this effect is negligible for neutron emission but makes (γ, n) the dominant channel in heavy elements. Typical threshold energies range from about 2–20 MeV for light nuclei (e.g., S_n \approx 2.2 MeV for deuterium(γ,n), 1.67 MeV for ^{9}\rm Be(\gamma, n), and 18.7 MeV for ^{12}\rm C(\gamma, n)) and 6–15 MeV for heavy nuclei (e.g., around 11 MeV for copper isotopes), reflecting tighter binding and increasing Coulomb influences with atomic number. These ranges establish the energy scale where photodisintegration becomes viable, with the negative Q-value ensuring no reaction occurs below E_{\rm th}.^[1]^[7]

Theoretical Aspects

Photon-Nucleus Interaction

The interaction of photons with atomic nuclei in photodisintegration is governed by quantum mechanical processes where the photon is absorbed, exciting the nucleus to higher energy states that subsequently decay via particle emission. The predominant mechanism is the electric dipole (E1) transition, in which the oscillating electric field of the incident photon couples to the nucleus, inducing a coherent oscillation of protons against neutrons and thereby facilitating excitation. This mode dominates due to its allowed nature under parity and angular momentum selection rules, making it far stronger than higher-order multipoles in the long-wavelength limit applicable to typical photon energies involved.^[1] Upon absorption via an E1 transition, the nucleus forms a compound state as conceptualized in the Bohr model, wherein the photon's energy equilibrates across all nucleons, erasing information about the specific absorption channel. This highly excited, ergodic state then de-excites statistically through the emission of nucleons, such as neutrons or protons, following the independence hypothesis that formation and decay are separable processes. The excitation is most efficiently achieved near the giant dipole resonance (GDR), a collective E1 mode where the cross-section for absorption peaks sharply at energies typically ranging from 15 to 25 MeV across most nuclei, reflecting the characteristic frequency of the proton-neutron oscillation.^[1]^[8] Although E1 transitions account for the majority of photoabsorption strength, magnetic dipole (M1) transitions contribute in cases involving spin-flip excitations, where the photon's magnetic field interacts with the nuclear magnetic moment to change the spin by 1 unit without parity alteration. These M1 processes are generally weaker than E1 due to their suppressed matrix elements in the dipole approximation but play a notable role in isotopes with suitable spin-parity configurations, such as those enabling isovector spin excitations.^[9] Theoretically, the photoabsorption cross-section for dipole transitions derives from time-dependent perturbation theory and Fermi's golden rule applied to the interaction Hamiltonian in the long-wavelength (dipole) limit, H_\mathrm{int} = -\mathbf{D} \cdot \mathbf{E}, where \mathbf{D} = e \sum_p \mathbf{r}_p is the electric dipole operator summed over protons, and \mathbf{E} is the electric field. After averaging over photon polarizations and summing over final magnetic substates, the E1 absorption cross-section simplifies to

\sigma(\omega) \approx \frac{4\pi^2 e^2 \omega}{\hbar c} \left| \langle f | \mathbf{D} | i \rangle \right|^2 \delta(E_f - E_i - \hbar \omega),

with |i\rangle and |f\rangle denoting the ground and excited nuclear states, respectively; this form emphasizes the quadratic dependence on the dipole matrix element and linear scaling with photon energy \hbar \omega. For M1 transitions, an analogous expression replaces \mathbf{D} with the magnetic dipole operator \boldsymbol{\mu}, but the overall strength is reduced by factors of order (\omega R / c)^2, where R is the nuclear radius.^[10]^[11]

Cross-Section Calculations

The cross-section σ(ω) in photodisintegration quantifies the probability of a photon of energy ω inducing nuclear breakup, expressed as a function of ω and typically measured in millibarns (mb), where 1 mb = 10^{-27} cm².^[12] Integrating σ(ω) over the photon energy spectrum yields the reaction rate, essential for predicting yields in nuclear processes.^[12] Theoretical models for computing σ(ω) distinguish between compound nucleus formation and direct reactions. The Hauser-Feshbach statistical model describes the decay of an equilibrated compound nucleus following photon absorption, assuming ergodic behavior where the cross-section is proportional to transmission coefficients for incoming photons and outgoing particles, weighted by level densities. This approach, originally formulated for neutron-induced reactions, has been extended to photonuclear processes and is implemented in codes like TALYS for predicting (γ,n) and (γ,p) channels in medium-to-heavy nuclei.^[13] For direct reactions, where the photon ejects a nucleon without full compound formation—prevalent in light nuclei—the distorted wave Born approximation (DWBA) accounts for initial- and final-state interactions by distorting plane waves with optical potentials, yielding differential cross-sections that match experimental angular distributions.^[14] In the giant dipole resonance (GDR) regime, dominating photodisintegration around 10–30 MeV, the cross-section often adopts a Lorentzian shape to capture the resonant enhancement from collective proton-neutron oscillations:

\sigma(\omega) = \sigma_{\max} \frac{(\Gamma/2)^2}{(\omega - \omega_0)^2 + (\Gamma/2)^2}

Here, ω₀ is the resonance energy (typically 12–25 MeV, scaling with nuclear deformation), Γ is the width (often 3–5 MeV for spherical nuclei), and σ_max is the peak cross-section (around 200–400 mb, constrained by the Thomas-Reiche-Kuhn sum rule).^[8] This parametrization, validated against photoabsorption data, facilitates extrapolation to unmeasured energies while incorporating microscopic inputs like quasiparticle random-phase approximation strengths.^[8] Experimental determination of σ(ω) relies on bremsstrahlung beams from electron accelerators, such as those at the S-DALINAC (up to 10 MeV), where activation yields are unfolded from the continuous photon spectrum using detector efficiencies and spectral weights.^[15] Complementary laser-induced gamma sources, via inverse Compton scattering (e.g., at AIST facilities), provide quasi-monochromatic beams (1–40 MeV, ~1–10% resolution) for direct neutron detection with high-efficiency 4π setups.^[15] Below 10 MeV, challenges include sparse data near thresholds due to the GDR tail's dominance, requiring enriched targets for rare isotopes and careful background subtraction, with uncertainties often exceeding 20% from spectral deconvolution and low photon fluxes.^[15]

Light Nuclei Examples

Deuterium Breakdown

Photodisintegration of the deuterium nucleus represents the simplest instance of photon-induced nuclear dissociation, described by the reaction \gamma + ^2\mathrm{H} \to \mathrm{p} + \mathrm{n}. The threshold photon energy E_\mathrm{th} for this process equals the deuteron binding energy B_d \approx 2.224 MeV, below which the proton and neutron remain bound.^[16] The total cross-section for deuteron photodisintegration was first experimentally observed in 1934 by Chadwick and Goldhaber, who used gamma rays from a radium-beryllium source to irradiate deuterium gas, detecting recoil protons and thereby providing confirmatory evidence for the neutron as a neutral particle. Subsequent measurements have shown that the cross-section rises sharply above threshold, peaking at approximately 1 mb in the 3–5 MeV range, primarily due to electric dipole (E1) transitions that couple the photon's electric field to the nuclear charge distribution.^[17] As a two-body breakup, the reaction kinematics enforce collinear emission of the proton and neutron in the center-of-mass frame, with their momenta equal in magnitude but opposite in direction to conserve total momentum. In the dipole approximation valid near threshold, the differential cross-section follows \frac{d\sigma}{d\Omega} \propto \sin^2 \theta, where \theta is the angle between the photon's electric field vector and the proton's emission direction, reflecting the \sin^2 \theta angular dependence characteristic of dipole radiation.^[18] This process serves as a foundational benchmark for nuclear theory, owing to the deuteron's exact solvability as a two-nucleon system without formation of a compound state; its wave function can be precisely modeled using nucleon-nucleon potentials, enabling direct tests of quantum mechanical predictions for photon-nucleus interactions.

Beryllium Disintegration

The photodisintegration of beryllium-9 primarily proceeds through multi-channel decay pathways at low photon energies, reflecting its weakly bound structure as an \alpha + \alpha + n cluster system. The dominant reaction channels near threshold are \gamma + ^9\mathrm{Be} \to ^8\mathrm{Be} + n with a threshold energy of 1.666 MeV and \gamma + ^9\mathrm{Be} \to ^5\mathrm{He} + \alpha with a threshold energy of approximately 2.46 MeV. These processes often result in sequential decays: the excited ^8\mathrm{Be} promptly breaks into two \alpha particles (with a resonance width of 5.57 eV), while the ^5\mathrm{He} decays to \alpha + n (unbound by 0.895 MeV). This leads to an effective three-body breakup into \alpha + \alpha + n, highlighting the nucleus's cluster nature and low three-body separation energy of 1.573 MeV relative to the ground state.^[19]^[20] The cross-section for these reactions exhibits a broad resonance structure in the photon energy range of approximately 2–3 MeV, attributed to the \alpha-clustering in ^9\mathrm{Be}, which enhances the electric dipole (E1) transitions to continuum states with significant three-body components. This resonance arises from overlapping excited states at excitation energies of 2.43 MeV and 3.05 MeV, with widths indicating compound and direct breakup mechanisms. The energy-integrated cross-section over the low-energy region up to about 4 MeV is on the order of 10–15 mb·MeV, while broader integrations to higher energies (e.g., up to 17.8 MeV) yield values around 13 MeV·mb, underscoring the role of clustering in facilitating photodisintegration at astrophysically relevant temperatures. In contrast to the simple two-body breakup in deuterium, beryllium-9's photodisintegration involves complex three-body or sequential dynamics, resulting in more intricate angular distributions of emitted particles due to the interplay of cluster reconfiguration and final-state interactions.^[20]^[21]^[22] Early experimental studies of ^9\mathrm{Be} photodisintegration in the 1950s utilized betatron-generated bremsstrahlung to map the excitation function from threshold to 24 MeV, revealing two prominent peaks in the neutron yield at around 2.7 MeV and 23 MeV photon energy, consistent with the giant dipole resonance. These measurements, conducted with filtered beams to resolve low-energy features, provided initial evidence for the \alpha-clustering model by showing enhanced yields near the breakup thresholds and broad resonance profiles indicative of collective nuclear motion in light nuclei. Subsequent high-resolution experiments have refined these findings, confirming the clustering's impact on nuclear structure and reaction rates in stellar environments.^[23]^[24]

Heavy Nuclei Processes

Photofission Mechanism

Photofission represents a specialized variant of photodisintegration wherein a heavy nucleus, upon absorbing a gamma photon, becomes sufficiently excited to surpass its fission barrier and cleave into two substantial fragments, often accompanied by neutron emission. In this process, the gamma ray is absorbed primarily through the giant dipole resonance or other electric/multipole transitions, imparting excitation energy to the nucleus without introducing additional nucleons, unlike neutron-induced fission. For actinides such as ^{235}U, the absorption elevates the nucleus to an energy level approximately 6-8 MeV above the ground state, enabling deformation along the fission pathway and eventual scission, which can result in either asymmetric or symmetric mass splits depending on the excitation energy and nuclear structure effects. The threshold energy for photofission in actinides typically ranges from 6 to 12 MeV, reflecting the height of the fission barrier and being lower than thresholds for certain neutron-induced processes due to the absence of added mass asymmetry. This threshold corresponds to the minimum photon energy required to excite the nucleus beyond the barrier, where the fission barrier height B_f relates to the incident gamma energy E_\gamma and any pre-existing excitation E_{\text{excitation}} via B_f = E_\gamma - E_{\text{excitation}}, though direct ground-state absorption often simplifies this to E_\gamma \approx B_f. For ^{235}U, the effective threshold lies around 6 MeV, influenced by the double-humped barrier structure common in actinides, with the outer barrier being surmountable at these energies.90374-0)^[25] Fission yield curves in photofission exhibit characteristic peaks at asymmetric fragment masses, driven by shell effects that favor stable configurations near closed neutron shells, such as those around A ≈ 95 and A ≈ 140 for uranium isotopes. These double-humped distributions arise from the interplay of liquid-drop deformation energy and microscopic shell corrections, with the asymmetric mode dominating at energies near threshold and symmetric fission becoming more prominent at higher excitations above 20 MeV. For instance, in ^{238}U photofission, the yield curve shows pronounced peaks corresponding to light fragments near mass 95 (e.g., near Zr) and heavy fragments near 140 (e.g., near Ba), with the peak-to-valley ratio reflecting the relative contributions of standard I and standard II fission modes.^[26] The phenomenon was first observed in 1940 by Haxby et al., who irradiated uranium and thorium targets with gamma rays of approximately 17 MeV produced via proton bombardment of lithium and fluorine, detecting fission tracks in photographic emulsions. This pioneering experiment confirmed photofission as a viable nuclear reaction channel, laying the groundwork for subsequent studies on heavy-element dynamics.^[27]

Thresholds for Heavy Elements

In heavy nuclei, the threshold energy for photodisintegration primarily reflects the separation energy of the emitted particle, adjusted for kinematic effects and, in the case of charged particles, the Coulomb barrier. For neutron emission via the (γ,n) channel in ^{208}Pb, the threshold is approximately 7.4 MeV, closely aligned with the neutron separation energy of 7.3678 MeV.^[28] Proton emission thresholds are notably higher due to the large atomic number Z, which imposes a substantial Coulomb barrier; the effective threshold is given by E_{th} \approx S_p + B_C, where S_p is the proton separation energy and B_C \approx (Z-1) e^2 / R is the barrier height with nuclear radius R \approx r_0 A^{1/3} (r_0 \approx 1.2 fm). For ^{208}Pb, S_p \approx 7.99 MeV and B_C \approx 16 MeV, yielding E_{th} \gtrsim 24 MeV.^[29] Thresholds exhibit clear isotope dependence, with neutron-rich isotopes displaying lower values for (γ,n) reactions owing to reduced neutron separation energies from shallower binding in the excess neutron potential well, while proton-rich isotopes face elevated (γ,p) thresholds due to increased Coulomb effects. As mass number A increases among heavy elements, thresholds generally rise because of deeper average nucleon potential wells and higher binding energies per nucleon (around 7.8-8.0 MeV for A > 100), contrasting with lighter nuclei where peripheral separation energies are smaller.^[30] Compared to light nuclei, heavy-element thresholds for particle emission are typically 2-3 times higher, ranging from 10-20 MeV, driven by the greater overall nuclear cohesion; for instance, deuteron (γ,n) occurs at 2.22 MeV, while equivalent processes in heavy targets require energies exceeding 8 MeV even for neutrons.^[31] Computational models like the TALYS and EMPIRE codes are essential for predicting these thresholds in heavy elements, incorporating Hauser-Feshbach statistical theory, optical model potentials, and level density parameters to simulate reaction channels and validate against experimental data for isotopes across the periodic table. These tools enable accurate estimation of threshold variations without direct measurement, particularly for exotic or unstable heavy isotopes.^[32]^[33]

Astrophysical Applications

Role in Hypernovae

In hypernovae, which are highly energetic core-collapse supernovae often associated with long-duration gamma-ray bursts, photodisintegration contributes to explosive nucleosynthesis through processes like the γ-process and νp-process, where high-energy photons from the shock-heated ejecta induce reactions on seed nuclei. In the γ-process, photons exceeding 10 MeV photodisintegrate heavier seed nuclei via successive (γ,n), (γ,p), and (γ,α) reactions, producing proton-rich p-nuclei such as ⁹²Mo and ⁹⁶Ru. These reactions occur in high-temperature regions (around 3–5 GK) behind the shock front, where the plasma supports rapid nuclear transformations.^[34] Photodisintegration absorbs significant energy—approximately 8.7 MeV per nucleon for iron-group nuclei—contributing to the dynamics of the explosion, including the initial stalling of the shock wave, which requires revival through neutrino heating. In the proton-rich neutrino-driven winds of hypernovae, the νp-process enhances p-nuclei yields using seed distributions from prior stellar burning stages, with models showing significant contributions to isotopes like ⁹²Mo at low metallicities ([Fe/H] < –2). A specific example is the efficient photodisintegration leading to breakdown products that participate in further reactions, such as the disassembly of iron-group nuclei into lighter fragments.^[34]^[35] In photodisintegration equilibrium at temperatures of 3–5 GK, breakup and reformation rates balance, maintaining a dynamic composition conducive to nucleosynthesis. Hypernovae, with explosion energies up to 10⁵² erg, amplify gamma fluxes compared to standard supernovae, enhancing these processes. Observationally, the products influence gamma-ray burst emissions and supernova light curves through radioactive decay of isotopes like ⁵⁶Ni, powering luminosity over weeks to months. For example, in events like GRB 980425/SN 1998bw, decay chains from nucleosynthesis remnants contribute to observed spectra and metal enrichment.^[34]

Influence on Big Bang Nucleosynthesis

Photodisintegration significantly influences Big Bang Nucleosynthesis (BBN) by counteracting fusion reactions in the early universe, occurring primarily when temperatures range from approximately 0.1 to 1 MeV, or roughly seconds to minutes after the Big Bang. This process photodisintegrates light nuclei such as deuterium and helium, driven by the high photon-to-baryon ratio η ≈ 6 × 10^{-10}, which ensures a copious photon flux capable of breaking nuclear bindings despite the low baryon density.^[36] A key example is the photodisintegration of deuterium via the reaction γ + ^2H → p + n, the reverse of the deuterium formation p + n → ^2H + γ. At T ≈ 0.08 MeV, the photodisintegration rate λ_{γD} ≈ 10^3 s^{-1} destroys about 50% of newly formed deuterium, preventing its accumulation and creating the well-known deuterium bottleneck that delays heavier element synthesis until temperatures fall further. The abundances remain in thermal equilibrium, described by the Saha equation for deuterium:

\frac{n_D}{n_p n_n} \propto \left( \frac{m_p k T}{2 \pi \hbar^2} \right)^{3/2} \exp\left( -\frac{B_D}{k T} \right),

where B_D = 2.224 MeV is the deuterium binding energy; at higher temperatures, the exponential term favors dissociation into free protons and neutrons over bound states.^[36] This balance ultimately resolves the deuterium bottleneck as the universe expands and cools, allowing net production of light elements once photodisintegration rates drop below the Hubble expansion rate. Photodisintegration thereby influences the ^4He mass fraction Y_p ≈ 0.247 by channeling reaction flows through stable paths, while ⁷Li abundances are set by the full reaction network, including neutron capture destructions of ⁷Be.^[36]

Terrestrial Phenomena

Occurrence in Lightning

Photodisintegration occurs in lightning discharges through the production of high-energy gamma rays via bremsstrahlung radiation from relativistic electrons accelerated in strong electric fields within thunderclouds. These electrons, part of runaway electron avalanches, collide with atmospheric molecules, generating gamma rays with energies often exceeding 10 MeV. Such photons can then interact with abundant atmospheric nuclei, primarily nitrogen-14 and oxygen-16, inducing photodisintegration reactions like ^{14}\mathrm{N}(\gamma,n)^{13}\mathrm{N} and ^{16}\mathrm{O}(\gamma,n)^{15}\mathrm{O}, which eject neutrons with kinetic energies around 10 MeV.^[37]^[38] The bremsstrahlung spectrum in lightning typically peaks below 10 MeV but has a high-energy tail extending to 20 MeV or more, enabling a small fraction of photons to surpass the photodisintegration thresholds of 10.5 MeV for nitrogen and 15.6 MeV for oxygen. This process is closely associated with terrestrial gamma-ray flashes (TGFs), brief bursts of gamma radiation linked to lightning leader propagation, where the intense fields (over 0.2 MV/m) drive the electron avalanches necessary for gamma production.^[37]^[39] Observations of neutron production from lightning began with early evidence in the 1980s using detectors near thunderstorms, followed by more robust confirmations in the 2000s through ground-based neutron monitors correlating flux increases with lightning activity. A landmark direct detection occurred in 2017 during a Japanese thunderstorm, where neutron and positron signals were recorded 0.5–1.7 km from a lightning strike, unequivocally linking them to photonuclear reactions. Neutron yields per event are estimated at $10^7 to $10^{10}, based on models of avalanche-induced gamma fluxes.^[40]^[41]^[37]^[42] These neutrons add to Earth's natural atmospheric radioactivity background, primarily through short-lived decay products like ^{13}\mathrm{N}, but the overall low flux—far below cosmic ray levels—results in negligible production of significant radioisotopes. Recent studies as of 2025 suggest that lightning-induced neutrons may contribute to charged particle fluxes in the inner Van Allen radiation belt.^[37]^[39]^[43] This terrestrial nuclear process underscores lightning's role as a natural accelerator, distinct from controlled laboratory settings.

Laboratory Experiments

Laboratory experiments on photodisintegration utilize advanced photon sources to induce and study nuclear reactions under controlled conditions, enabling precise measurements of cross-sections and reaction mechanisms relevant to nuclear structure and astrophysics.^[44] These setups typically employ electron accelerators to generate high-intensity gamma-ray beams, which interact with target nuclei to eject neutrons or charged particles, with detection systems capturing the resulting products to infer reaction yields and energies.^[45] Photon sources for these experiments include electron linear accelerators that produce quasi-monoenergetic gamma rays through backscattering techniques, such as at the High Intensity Gamma-ray Source (HIγS) facility operated by the Triangle Universities Nuclear Laboratory (TUNL). HIγS generates photon beams with energies up to 30 MeV and high linear polarization, ideal for probing photodisintegration of light nuclei like deuterium and helium isotopes.^[46] For enhanced precision, laser-Compton scattering methods are employed, where relativistic electrons collide with laser photons to yield tunable, polarized gamma beams with narrow energy spreads, as demonstrated in facilities like the Shanghai Laser Electron Gamma Source for deuterium photodisintegration studies.^[47] These sources provide fluxes sufficient for low-probability reactions, with HIγS achieving intensities exceeding 10^8 photons/s/MeV in the 10-30 MeV range.^[48] Detection techniques focus on identifying reaction products to determine cross-sections and angular distributions. Neutron time-of-flight (TOF) spectrometers are commonly used for (γ,n) reactions, measuring neutron energies and velocities from the time delay between photon interaction and detection, often with scintillation detectors like NE-213 for pulse-shape discrimination against gamma backgrounds.^[49] Activation foil methods complement this by irradiating thin targets with gamma beams and subsequently analyzing induced radioactivity via gamma spectroscopy to derive total photodisintegration cross-sections, particularly effective for cumulative yields in heavier nuclei.^[50] Modern facilities like the Electron Linear Accelerator with Bremsstrahlung (ELBE) at the Helmholtz-Zentrum Dresden-Rossendorf (HZDR) integrate these approaches, using bremsstrahlung beams up to 18 MeV for photoactivation experiments on p-process nuclei, with high photon fluxes enabling measurements on short-lived isotopes.^[44] Seminal experiments include 1970s studies at Lawrence Livermore National Laboratory on photofission yields, which measured fragment distributions from uranium targets using bremsstrahlung sources to establish baseline data for fission branching ratios and angular asymmetries.^[51] More recent measurements in the 2020s, leveraging gamma beams from laser-Compton sources, have targeted astrophysically relevant reactions such as the D(γ,n)p photodisintegration, providing high-precision cross-sections (with uncertainties below 5%) to refine big bang nucleosynthesis models and constrain photon strength functions.^[47] These experiments at facilities like HIγS and ELBE have yielded data on dipole strengths in nuclei like 3He and 80Se, directly informing reaction rates in stellar environments.^[52] Key challenges in these experiments involve suppressing backgrounds from non-resonant interactions and controlling beam polarization to distinguish electric dipole (E1) from magnetic dipole (M1) transitions, which dominate near-threshold photodisintegration. Background reduction techniques, such as TOF gating and shielding, are critical to isolate signal neutrons amid continuum bremsstrahlung noise, while polarized beams at HIγS allow separation of E1/M1 contributions through asymmetry measurements, enhancing sensitivity to nuclear spin-flip excitations.^[53] Polarization control, often achieving >90% linear polarization via laser cavity adjustments, mitigates systematic errors in cross-section determinations but requires precise electron-photon alignment to maintain beam quality.^[54]

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From the photo-neutron thresholds the neutron binding energies of beryllium and deuterium were found to be 1.666±0.002 and 2.226±0.003 Mev, respectively.Missing: reactions | Show results with:reactions
[19]
[PDF] Energy Levels of Light Nuclei A = 9 - TUNL Nuclear Data Project
Sep 26, 2017 · The α-5He decay of 9Be excited states populated by E(7Li) = 52 MeV was studied by (1998SO05). 27. 9Be(9Be, 9Be)9Be. Elastic angular ...
[20]
The ${}^9$Be photodisintegration cross section within Cluster ... - arXiv
Jun 5, 2025 · Abstract:A low-energy calculation of {}^9Be photodisintegration cross section is presented within an \alpha\alpha n cluster approach.
[21]
The photoneutron cross section of 9Be - ScienceDirect
Feb 3, 1975 · The integrated cross section to 17.8 MeV is 13 ± 1 MeV · mb; and to 27.5 MeV is 28.3 ± 3 MeV · mb. Detailed comparison between experiment ...
[22]
Excitation Function for the Photodisintegration of Beryllium | Phys. Rev.
Using filtered betatron bremsstrahlung, the B e 9 ⁢ ( 𝛾 , n ) excitation function has been determined from threshold to 24 Mev. The results show two peaks, ...Missing: 1950s | Show results with:1950s
[23]
Cross-section measurement of 9 Be( γ , n ) 8 Be and implications for ...
We report here on a new absolute cross-section measurement for the 9 ⁢ Be ⁡ ( 𝛾 , n ) ⁢ 8 Be reaction conducted using a highly efficient, 3 He-based neutron ...
[24]
Experimental photofission thresholds in /sup 235/U, /sup 238 ... - OSTI
The photofission threshold values for /sup 238/U, /sup 235/U, /sup 239/Pu, and /sup 233/U show a maximum difference or spread of 0.23 MeV, whereas the theory
[25]
https://www.osti.gov/biblio/5906637
[26]
https://doi.org/10.1140/epja/i2013-13094-1
[27]
Measurements of Neutron Capture Cross Section for207, 208Pb
... 208Pb (2614 keV, Jπ= 3-), and from the 1st excited state to the ground state of 208Pb, respectively, where 7367.8 keV is the neutron separation energy of 208Pb.
[28]
Branchings in the γ process path revisited
The separation energy of the emitted particle x in the photodisintegrated nucleus ... energies close to the Coulomb barrier. From a number of global ...
[29]
Symmetry Energy from Two-Nucleon Separation Energies of Pb and ...
Feb 29, 2024 · First, we study the two-proton and two-neutron separation energies in Pb and Ca isotopes by subtracting the contribution of Coulomb energy. They ...
[30]
Nuclear properties for nuclear astrophysics studies
Feb 6, 2023 · Nuclei with neutron or proton separation energies tending to zero define the neutron or proton “drip lines” (solid black lines), as ...<|separator|>
[31]
TALYS: modeling of nuclear reactions | The European Physical ...
Jun 14, 2023 · TALYS is a software package for the simulation of nuclear reactions below 200 MeV. It is used worldwide for the analysis and prediction of nuclear reactions.
[32]
[PDF] Subgroup A: Nuclear Model Codes
The basic objective behind the construction of TALYS is the simulation of nuclear reactions that involve neutrons, gamma-rays, protons, deuterons, tritons, He-3 ...
[33]
https://www.oecd-nea.org/upload/docs/application/pdf/2020-01/nsc-wpec-doc2004-312.pdf
[34]
None
### Role of Photodisintegration in Big Bang Nucleosynthesis (PDG Source)
[35]
None
Summary of each segment:
[36]
https://pdg.lbl.gov/2024/reviews/rpp2024-rev-bbang-nucleosynthesis.pdf
[37]
https://doi.org/10.1038/nature24630
[38]
A natural neutron source - Physics World
Oct 19, 2017 · The effect was not negligible: they estimated that thunderstorms could account for up to one percent of the neutrons produced in the atmosphere.
[39]
https://physicsworld.com/a/a-natural-neutron-source/
[40]
[1711.08044] Photonuclear Reactions in Lightning Discovered from ...
Nov 21, 2017 · Our detection of neutrons and positrons is unequivocal evidence that natural lightning triggers photonuclear reactions.
[41]
[PDF] Photodisintegration studies of astrophysically relevant p-nuclei - HZDR
the photoactivation yield, the Hauser-Feshbach model codes TALYS and NON-SMOKER were used. The experimental activation yields, in general, agree within a ...
[42]
[PDF] Nuclear Physics Research with Real Photons at HIGS ... - SLAC Indico
photodisintegration of 2H, 3He and 3H (cross sections, target-beam helicity dependent cross sections, polarization transfer). Nuclear Structure and Nuclear ...
[43]
Monte-Carlo Simulation for H(γ, pn)n Experiment with High Intensity ...
The goal of this experiment is to provide data for assessing the theoretical treatment of meson-exchange currents in photodisintegration of nuclei and for ...
[44]
[2509.11743] High-Precision Measurement of D($γ$, $n$)$p ... - arXiv
Sep 15, 2025 · High-Precision Measurement of D(γ, n)p Photodisintegration Reaction and Implications for Big-Bang Nucleosynthesis. Authors:Yinji Chen, Zirui Hao ...
[45]
[PDF] Overview of Photon-induced Nuclear Reaction Research at the ...
Mar 2, 2022 · High Intensity Gamma-ray Source (HIgS) is operated by the Triangle Universities Nuclear Laboratory (TUNL),.
[46]
Measurement of the reaction from MeV | Phys. Rev. C
Jan 19, 2007 · The “photon” calibration peak labeled T γ lying between the neutrons and the T 0 position is much narrower, reflecting the lack of any velocity- ...
[47]
[PDF] Cross-section measurements of the 94Mo(γ,n) and 90Zr(γ,n ...
Abstract. The photodisintegration reaction cross-sections for 94Mo(γ,n) and 90Zr(γ,n) have been experimentally investigated with quasi-monochromatic photon ...
[48]
Fission product yield measurements using monoenergetic photon ...
Jul 1, 2019 · New Experimental Results on the Cumulative Yields From Thermal Fission ... March 1970. Asymmetry of the photofission of U235 as a function ...
[49]
Dipole strength in for process and nuclear transmutation of
Oct 6, 2016 · The dipole-strength distribution in Se 80 up to the neutron-separation energy has been studied in a photon-scattering experiment at the ELBE ...
[50]
[PDF] Fulltext PDF 5,6 MB - HZDR
E1 and M1 Strength in 92…98…100Mo Calculated by RPA . ... Most previous photodisintegration experiments at near threshold energies were performed with mono ...
[51]
Photo-nuclear Science using laser Compton scattering gamma-rays ...
The laser Compton scattering gamma-rays are a new generation of gamma-rays which have advantages of tunable energy, high energy resolution, and almost 100% ...