Strange particle
A strange particle is a type of hadron in particle physics that contains at least one strange quark (s) or its antiquark (\bar{s}), characterized by a nonzero strangeness quantum number S, defined as S = -(n_s - n_{\bar{s}}), where n_s and n_{\bar{s}} are the numbers of strange quarks and antiquarks, respectively.[1] This quantum number, assigned as S = -1 for the strange quark and S = +1 for the anti-strange quark, is conserved in strong and electromagnetic interactions but can change by \Delta S = \pm 1 in weak interactions, explaining the relatively long lifetimes of these particles compared to non-strange hadrons.[1][2] The first strange particles were discovered in 1947 through cosmic ray experiments using cloud chambers at the University of Manchester, where physicists George Rochester and Clifford Butler observed V-shaped tracks indicative of the decays of neutral particles with masses around 900–1000 MeV/c² and lifetimes on the order of $10^{-10} seconds—much longer than expected for strong decay processes.[3][4] These events, initially termed "V-particles," were later identified as the neutral kaon (K^0) and the lambda hyperon (\Lambda^0), marking the beginning of the "particle zoo" era in physics.[5] Subsequent observations in the early 1950s revealed charged kaons (K^\pm) and other hyperons like the \Sigma^\pm and \Xi^-, produced abundantly in high-energy collisions but decaying slowly, which posed a challenge to existing theories of nuclear forces.[4][6] To resolve this "strangeness problem," Abraham Pais proposed in 1952 that a new conserved quantum number governed the production and decay of these particles, followed by independent proposals in 1953 by Kazuhiko Nishijima (with Tadao Nakano) and Murray Gell-Mann, who integrated it into the Gell-Mann–Nishijima formula relating charge, isospin, baryon number, and strangeness: Q = I_3 + \frac{B + S}{2}.[7][2] Gell-Mann's work, culminating in the eightfold way classification scheme in 1961, organized strange particles into SU(3) flavor symmetry multiplets, predicting the existence of the \Omega^- hyperon (with S = -3), which was confirmed experimentally in 1964.[7][1] This framework laid the groundwork for the quark model, where strange particles are composites of up, down, and strange quarks bound by the strong force.[1] Strange particles play a crucial role in understanding fundamental interactions, particularly in weak decays that violate strangeness conservation, as seen in processes like K^0 \to \pi^+ \pi^- and the 1964 discovery of CP violation in neutral kaon decays by James Cronin and Val Fitch, which demonstrated that weak interactions do not preserve combined charge conjugation and parity symmetries.[5] Today, they are studied in accelerators like the LHC to probe quantum chromodynamics, search for exotic states such as pentaquarks with strange content, and investigate matter-antimatter asymmetries in the universe.[8][9]History
Discovery
The discovery of strange particles began with observations in cosmic ray experiments during the late 1940s. In 1947, physicists George Rochester and Clifford Butler at the University of Manchester captured cloud chamber photographs of cosmic ray interactions that revealed unusual decay events. These included neutral V-shaped tracks, termed V-particles (later identified as neutral strange particles such as the neutral kaon, K⁰, and the lambda hyperon, Λ⁰), and charged fork-like tracks from theta-particles (later charged kaons, K⁺ or K⁻), indicating the production and subsequent decay of previously unknown unstable particles with masses around 900–1000 MeV/c².[10] Further evidence came from Cecil Powell's group at the University of Bristol, who employed photographic emulsions exposed to cosmic rays at high altitudes to record particle tracks with high resolution. In 1948–1949, PhD student Rosemary Fowler observed the first decay chain of a charged strange particle, including the mode K⁺ → π⁺ π⁺ π⁻ (tau meson), confirming the existence of long-lived charged strange particles with lifetimes on the order of 10^{-10} seconds.[4] These findings highlighted a key anomaly: while produced abundantly in high-energy collisions suggestive of strong interactions, the particles exhibited unexpectedly slow decay rates, far longer than the 10^{-23} seconds typical for strong decays, prompting the label "strange" particles due to this puzzling behavior. Confirmation and the first controlled production of strange particles occurred in accelerator experiments during the early 1950s at Brookhaven National Laboratory's Cosmotron, the world's first proton synchrotron to reach GeV energies. Operational from 1952, the Cosmotron enabled the artificial generation of kaons in proton-nucleus collisions, replicating cosmic ray events under laboratory conditions and allowing systematic studies of their production and decay. This marked a shift from serendipitous cosmic ray detections to reproducible experiments, solidifying the reality of strange particles.[11]Development of the strangeness concept
In 1952, Abraham Pais proposed that the puzzling abundance and long lifetimes of V particles could be explained by assuming they are produced in association with other heavy unstable particles via strong interactions, which conserve a new quantum number, while their decays proceed through weak interactions that violate this conservation.[12] This idea introduced the concept of a conserved quantity in strong processes to account for the observed production rates without invoking unusually weak production mechanisms.[12] In 1953, Murray Gell-Mann and, independently, Kazuhiko Nishijima with Tadao Nakano, formalized this conserved quantity as the strangeness quantum number S, assigned integer values to particles based on their content (for example, S = +1 for K^+ and K^0, S = -1 for \overline{K}^0 and K^-, and S = -1 for hyperons like \Lambda^0).[13][14] They established that S is conserved in strong and electromagnetic interactions but not in weak decays, resolving discrepancies in production and decay patterns of these particles.[13][14] This framework, known as the Gell-Mann–Nishijima scheme, provided a systematic classification and predicted associated production, such as K^+ \Lambda^0 pairs.[13][14] A key application of strangeness resolved the θ–τ puzzle, where particles θ and τ appeared to have identical masses (~494 MeV/c²) and production characteristics but decayed differently—θ to two pions (even parity) and τ to three pions (odd parity)—suggesting they were the same particle, the K^+ meson, with distinct weak decay modes.[15] This identification relied on the non-conservation of parity in weak interactions, proposed by Tsung Dao Lee and Chen Ning Yang in 1956, who argued that parity violation allows a single particle to exhibit both decay channels without contradiction.[15] Their hypothesis was experimentally confirmed in 1957 by Chien-Shiung Wu and colleagues through the asymmetric β decay of cobalt-60, linking strangeness directly to the selective violation in weak decays. This timeline, from Pais's initial suggestion to the parity discovery, solidified strangeness as a fundamental quantum number distinguishing strong and weak interaction behaviors.[15]Properties
Strangeness quantum number
The strangeness quantum number, denoted S, is an additive integer quantum number introduced in the mid-1950s to resolve discrepancies between the production rates and decay modes of certain unstable particles observed in cosmic ray experiments. In the quark model, S quantifies the net content of strange quarks in a hadron, with S = 0 for particles composed solely of up, down, charm, bottom, or top quarks and antiquarks.[1] The strange quark s carries S = -1, while its antiquark \bar{s} has S = +1; for composite hadrons, the total strangeness is the algebraic sum of the constituent quark values.[1] Representative examples illustrate this assignment: the K^+ kaon, with quark content u \bar{s}, has S = +1, whereas the \Lambda^0 hyperon, composed of uds, possesses S = -1.[1] Similarly, the \Xi baryons, containing two strange quarks (e.g., uss or dss), are assigned S = -2.[1] Strangeness enters the definition of hypercharge Y via the relation Y = B + S, where B is the baryon number (B = 1/3 for quarks, B = 1 for baryons, and B = 0 for mesons).[1] This formula organizes hadrons into isospin multiplets sharing the same Y, enabling systematic classification within flavor SU(3) symmetry, where particles of equal strangeness form representations with degenerate masses in the symmetry limit.[1] As a quantum number, S is strictly conserved in strong and electromagnetic interactions, ensuring that associated processes preserve the total strangeness of initial and final states.[1] In weak interactions, however, S is not conserved, with changes typically limited to \Delta S = \pm 1 in semileptonic decays (e.g., \Lambda^0 \to p e^- \bar{\nu}_e), which facilitates experimental determination of S by tracking the strangeness of decay products.[1]Production and decay characteristics
Strange particles are produced via strong interactions, which conserve strangeness, necessitating their creation in pairs with opposite strangeness quantum numbers, either as particle-antiparticle pairs (e.g., K^+ K^-) or in associated production (e.g., \Lambda^0 K^+).[16] This pair production requires a minimum center-of-mass energy threshold of approximately 1 GeV, corresponding to twice the mass of a kaon (~0.494 GeV/c²), to satisfy energy-momentum conservation in collisions like proton-proton or pion-nucleon interactions.[17] The decays of strange particles are dominated by the weak interaction, which violates strangeness conservation, leading to typical lifetimes on the order of $10^{-8} to $10^{-10} seconds—much longer than the $10^{-23} seconds expected for strong decays. Representative decay modes include non-leptonic processes, such as two-pion final states, and semileptonic modes involving a lepton and neutrino alongside a hadron, like proton-electron-neutrino.[16] In weak decays, selection rules favor transitions where the change in strangeness (\Delta S) equals the change in charge of the hadronic system (\Delta Q), known as Cabibbo-favored processes, particularly in semileptonic decays.[18] Non-leptonic decays with \Delta S = 1 but \Delta S \neq \Delta Q are suppressed, resulting in lower branching ratios compared to favored channels, which can exceed 60% for dominant modes.[16] Due to their extended lifetimes relative to non-strange hadrons, strange particles are experimentally identified through displaced decay vertices in particle detectors, where the decay point is separated from the primary interaction vertex by millimeters to centimeters, allowing reconstruction via track patterns from decay products.[19]Classification
Strange mesons
Strange mesons are a class of mesons that contain at least one strange quark or antiquark, typically forming quark-antiquark pairs with light quarks (up or down) or with another strange antiquark or quark. They are classified as pseudoscalar (J^P = 0^-) or vector (J^P = 1^-) particles based on their spin and parity quantum numbers. These mesons play a crucial role in understanding strangeness conservation and flavor dynamics in particle interactions.[20] The kaon family represents the lightest and most studied strange mesons, consisting of pseudoscalar particles with strangeness S = +1 or -1. The charged kaons are K^+ (u\bar{s}) and K^- (\bar{u}s), each with a mass of 493.677 \pm 0.015 MeV/c^2 and a mean lifetime of (1.2380 \pm 0.0020) \times 10^{-8} s. The neutral kaons are K^0 (d\bar{s}) and \bar{K}^0 (\bar{d}s), with masses of 497.611 \pm 0.013 MeV/c^2 for both (noting a small mass difference from charged counterparts of 3.934 \pm 0.020 MeV/c^2). All kaons have isospin I = 1/2 and spin J = 0.[21][22] Other notable strange mesons include those with hidden strangeness, such as the vector meson \phi(1020) (s\bar{s}), which has a mass of 1019.460 \pm 0.016 MeV/c^2, total width of 4.249 \pm 0.013 MeV, and quantum numbers J^{PC} = 1^{--}. Excited states in the kaon family, like the vector resonance K^(892), exhibit similar quark compositions to the ground-state kaons (e.g., u\bar{s} or d\bar{s}) but with higher masses: 891.67 \pm 0.26 MeV/c^2 for the charged state and 895.55 \pm 0.20 MeV/c^2 for the neutral, along with widths of approximately 50 MeV and J^P = 1^-. The primary decay mode for K^(892) is K\pi (nearly 100%).[23][24] A distinctive feature of neutral strange mesons is the phenomenon of K^0-\bar{K}^0 mixing, which leads to CP violation in the kaon system. This mixing produces the short-lived K_S (CP even, lifetime \sim 0.90 \times 10^{-10} s) and long-lived K_L (CP odd, lifetime \sim 5.12 \times 10^{-8} s) states, with the unexpected decay of K_L to two pions (K_L \to \pi\pi) providing the first evidence of CP violation, as observed in 1964. This indirect CP violation arises from the phase in the Cabibbo-Kobayashi-Maskawa matrix, while direct CP violation has been confirmed in subsequent measurements of the \epsilon'/\epsilon parameter.[25]Strange baryons
Strange baryons, collectively known as hyperons, are composite fermions consisting of three quarks with baryon number B = 1, where at least one quark is the strange quark alongside up and/or down quarks.[26] These particles carry negative strangeness quantum numbers and participate in weak decays, distinguishing them from ordinary baryons like protons and neutrons.[26] Ground-state strange baryons belong to the SU(3) flavor octet (spin-1/2) and decuplet (spin-3/2), with properties determined by their quark compositions and symmetries.[26] The hyperons with strangeness S = -1 include the Lambda and Sigma families in the octet, as well as the Sigma(1385) in the decuplet. The neutral Lambda hyperon \Lambda^0 has quark content uds, isospin I = 0, spin-parity J^P = \frac{1}{2}^+, and a mass of $1115.683 \pm 0.006 MeV/c^2.[27] Its primary decay mode is \Lambda^0 \to p \pi^-, with a branching ratio of $63.9 \pm 0.5\%.[27] The Sigma hyperons form an isospin triplet (I = 1) with quark contents \Sigma^+ (uus), \Sigma^0 (uds), and \Sigma^- (dds), all with S = -1 and J^P = \frac{1}{2}^+. Their masses range from $1189.37 \pm 0.07 MeV/c^2 for \Sigma^+ to $1197.449 \pm 0.029 MeV/c^2 for \Sigma^-.[28] Primary decays include \Sigma^+ \to p \pi^0 ($51.47 \pm 0.30\%) and \Sigma^- \to n \pi^- ($99.848 \pm 0.005\%), while \Sigma^0 decays electromagnetically to \Lambda \gamma (100%).[28] The \Sigma(1385) hyperons form an isospin triplet (I = 1) with S = -1 and J^P = \frac{3}{2}^+, quark contents \Sigma(1385)^+ (uus), \Sigma(1385)^0 (uds), and \Sigma(1385)^- (dds). Their masses are $1382.83 \pm 0.34 MeV/c^2 for \Sigma(1385)^+, $1383.7 \pm 1.0 MeV/c^2 for \Sigma(1385)^0, and $1387.2 \pm 0.5 MeV/c^2 for \Sigma(1385)^-. They decay strongly, with primary modes \Lambda \pi ($87.0 \pm 1.5\%) and \Sigma \pi ($11.7 \pm 1.5\%).[29] Higher-strangeness hyperons include the Cascade (Ξ) family with S = -2 in both the octet and decuplet, and the Omega with S = -3. The Ξ hyperons in the octet form an isospin doublet (I = \frac{1}{2}) with quark contents \Xi^0 (uss) and \Xi^- (dss), both having J^P = \frac{1}{2}^+ (parity from quark model prediction) and masses of $1314.86 \pm 0.20 MeV/c^2 and $1321.71 \pm 0.07 MeV/c^2, respectively.[30] Their dominant decays are \Xi^0 \to \Lambda \pi^0 ($99.524 \pm 0.012\%) and \Xi^- \to \Lambda \pi^- ($99.887 \pm 0.035\%).[30] The \Xi(1530) hyperons form an isospin doublet (I = \frac{1}{2}) with S = -2 and J^P = \frac{3}{2}^+, quark contents \Xi(1530)^0 (uss) and \Xi(1530)^- (dss), and masses of $1531.78 \pm 0.34 MeV/c^2 and $1535.2 \pm 0.8 MeV/c^2, respectively. They decay strongly via \Xi \pi (100%).[31] The \Omega^- hyperon, with quark content sss, I = 0, and J^P = \frac{3}{2}^+, has a mass of $1672.45 \pm 0.29 MeV/c^2.[32] Its decays, such as \Omega^- \to \Lambda K^- ($67.7 \pm 0.7\%) and \Omega^- \to \Xi^0 \pi^- ($24.3 \pm 0.7\%), proceed via weak interactions, with rates suppressed for higher strangeness due to limited phase space and the need for multi-body or cascaded processes.[32][33]| Particle | Quark Content | Strangeness S | Isospin I | Mass (MeV/c^2) | Primary Decay Mode (BR) |
|---|---|---|---|---|---|
| \Lambda^0 | uds | -1 | 0 | 1115.683 ± 0.006 | p \pi^- (63.9 ± 0.5%) |
| \Sigma^+ | uus | -1 | 1 | 1189.37 ± 0.07 | p \pi^0 (51.47 ± 0.30%) |
| \Sigma^0 | uds | -1 | 1 | 1192.642 ± 0.024 | \Lambda \gamma (100%) |
| \Sigma^- | dds | -1 | 1 | 1197.449 ± 0.029 | n \pi^- (99.848 ± 0.005%) |
| \Sigma(1385)^+ | uus | -1 | 1 | 1382.83 ± 0.34 | \Lambda \pi (87.0 ± 1.5%) |
| \Sigma(1385)^0 | uds | -1 | 1 | 1383.7 ± 1.0 | \Lambda \pi (87.0 ± 1.5%) |
| \Sigma(1385)^- | dds | -1 | 1 | 1387.2 ± 0.5 | \Lambda \pi (87.0 ± 1.5%) |
| \Xi^0 | uss | -2 | 1/2 | 1314.86 ± 0.20 | \Lambda \pi^0 (99.524 ± 0.012%) |
| \Xi^- | dss | -2 | 1/2 | 1321.71 ± 0.07 | \Lambda \pi^- (99.887 ± 0.035%) |
| \Xi(1530)^0 | uss | -2 | 1/2 | 1531.78 ± 0.34 | \Xi \pi (100%) |
| \Xi(1530)^- | dss | -2 | 1/2 | 1535.2 ± 0.8 | \Xi \pi (100%) |
| \Omega^- | sss | -3 | 0 | 1672.45 ± 0.29 | \Lambda K^- (67.7 ± 0.7%) |