Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Unified study of hyperon semileptonic decays in a relativistic three-quark model

Ru-Hui Ni1, Zhen-Yang Wang2, Jia-Jun Wu1,3,*, and Bing-Song Zou4,†

  • *Contact author: wujiajun@ucas.ac.cn
  • †Contact author: zoubs@mail.tsinghua.edu.cn

Phys. Rev. D 114, 074005 – Published 1 October, 2026

DOI: https://doi.org/10.1103/q49g-5nvz

Abstract

We present a unified theoretical study of semileptonic decays of ground state octet hyperons using the relativistic three-quark model (R3QM). A key innovation of our approach is that all baryon wave functions are determined by fitting the baryon mass spectrum with a semirelativistic potential model, leading to predictions for weak transition amplitudes without free parameters. Adopting these wave functions, we calculate the decay widths, branching fractions, lepton flavor universality ratios, as well as the angular correlation and spin asymmetry parameters for the octet channels. The calculated values agree with the available experimental data and give predictions for channels with limited experimental information. We further compute the complete set of octet transition form factors without any additional free parameters, so that the weak current can be examined beyond the rate observables. In the well measured Λ→pℓ−ν¯ℓ channel, the calculated leading vector and axial-vector form factors, f1(0) and g1(0), agree well with recent lattice QCD results, and the g1/f1 ratio is consistent with recent BESIII measurements. Beyond the leading vector and axial-vector terms, the complete form factor set separates the weak magnetism, second class, and the pole contribution associated with the partially conserved axial current (PCAC) relation. The weak magnetism term f2 shows the clearest channel dependence compared with lattice QCD results, and its smaller values in some channels may point to transverse current strength not fully saturated by pure qqq valence components. This work provides a framework for connecting octet hyperon weak form factors to the spin-flavor and spatial structure of baryons at the quark level, and gives testable weak current observables for future hyperon semileptonic decay measurements.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (111)

  1. J. M. Gaillard and G. Sauvage, Annu. Rev. Nucl. Part. Sci. 34, 351 (1984).
  2. A. Garcia and P. Kielanowski, The Beta Decay of Hyperons, Lecture Notes in Physics, Vol. 222 (Springer, New York 1985).
  3. N. Cabibbo, E. C. Swallow, and R. Winston, Annu. Rev. Nucl. Part. Sci. 53, 39 (2003).
  4. V. Mateu and A. Pich, J. High Energy Phys. 10 (2005) 041.
  5. J. F. Donoghue, B. R. Holstein, and S. W. Klimt, Phys. Rev. D 35, 934 (1987).
  6. R. Flores-Mendieta, E. E. Jenkins, and A. V. Manohar, Phys. Rev. D 58, 094028 (1998).
  7. R. Flores-Mendieta, Phys. Rev. D 70, 114036 (2004).
  8. P. G. Ratcliffe, Nucl. Phys. B, Proc. Suppl. 75, 60 (1999).
  9. N. Cabibbo, E. C. Swallow, and R. Winston, Phys. Rev. Lett. 92, 251803 (2004).
  10. T. N. Pham, Phys. Rev. D 87, 016002 (2013).
  11. R.-M. Wang, M.-Z. Yang, H.-B. Li, and X.-D. Cheng, Phys. Rev. D 100, 076008 (2019).
  12. J. Bijnens, H. Sonoda, and M. B. Wise, Nucl. Phys. B261, 185 (1985).
  13. A. Krause, Helv. Phys. Acta 63, 3 (1990).
  14. J. Anderson and M. A. Luty, Phys. Rev. D 47, 4975 (1993).
  15. G. Villadoro, Phys. Rev. D 74, 014018 (2006).
  16. A. Lacour, B. Kubis, and U.-G. Meissner, J. High Energy Phys. 10 (2007) 083.
  17. L. S. Geng, J. Martin Camalich, and M. J. Vicente Vacas, Phys. Rev. D 79, 094022 (2009).
  18. M. A. Luty and M. J. White, Phys. Lett. B 319, 261 (1993).
  19. F.-J. Jiang and B. C. Tiburzi, Phys. Rev. D 77, 094506 (2008).
  20. F.-J. Jiang and B. C. Tiburzi, Phys. Rev. D 80, 077501 (2009).
  21. T. Ledwig, J. Martin Camalich, L. S. Geng, and M. J. Vicente Vacas, Phys. Rev. D 90, 054502 (2014).
  22. U. Sauerwein, M. F. M. Lutz, and R. G. E. Timmermans, Phys. Rev. D 105, 054005 (2022).
  23. E. E. Jenkins and A. V. Manohar, Phys. Lett. B 255, 558 (1991).
  24. E. E. Jenkins and A. V. Manohar, Phys. Lett. B 259, 353 (1991).
  25. S.-L. Zhu, S. Puglia, and M. J. Ramsey-Musolf, Phys. Rev. D 63, 034002 (2001).
  26. N. Kaiser, Phys. Rev. C 64, 028201 (2001).
  27. D. Guadagnoli, G. Martinelli, M. Papinutto, and S. Simula, Nucl. Phys. B, Proc. Suppl. 140, 390 (2005).
  28. D. Becirevic, D. Guadagnoli, G. Isidori, V. Lubicz, G. Martinelli, F. Mescia, M. Papinutto, S. Simula, C. Tarantino, and G. Villadoro, Eur. Phys. J. A 24S1, 69 (2005).
  29. D. Guadagnoli, V. Lubicz, M. Papinutto, and S. Simula, Nucl. Phys. B761, 63 (2007).
  30. S. Sasaki and T. Yamazaki, Proc. Sci. LAT2006 (2006) 092 [arXiv:hep-lat/0610082].
  31. S. Sasaki and T. Yamazaki, Phys. Rev. D 79, 074508 (2009).
  32. S. Sasaki, AIP Conf. Proc. 1388, 443 (2011).
  33. S. Sasaki, Phys. Rev. D 86, 114502 (2012).
  34. P. E. Shanahan, A. N. Cooke, R. Horsley, Y. Nakamura, P. E. L. Rakow, G. Schierholz, A. W. Thomas, R. D. Young, and J. M. Zanotti, Phys. Rev. D 92, 074029 (2015).
  35. S. Sasaki, Phys. Rev. D 96, 074509 (2017).
  36. S. Bacchio and A. Konstantinou, Phys. Rev. Lett. 135, 231901 (2025).
  37. C. Alexandrou, S. Bacchio, A. Konstantinou, and E. Vakana, Phys. Rev. D 114, 014507 (2026).
  38. Z. G. Wang, J. Phys. G 34, 493 (2007).
  39. S.-Q. Zhang, X.-H. Zhang, and C.-F. Qiao, J. High Energy Phys. 06 (2024) 122.
  40. M. Ahmadi, Z. R. Najjar, and K. Azizi, Phys. Rev. D 112, 094035 (2025).
  41. J. F. Donoghue and B. R. Holstein, Phys. Rev. D 25, 206 (1982).
  42. N. Barik, B. K. Dash, and M. Das, Phys. Rev. D 32, 1725 (1985).
  43. M. Beyer and S. K. Singh, Z. Phys. C 31, 421 (1986).
  44. F. Schlumpf, Phys. Rev. D 51, 2262 (1995).
  45. T. Ohlsson and H. Snellman, Eur. Phys. J. C 6, 285 (1999).
  46. H.-C. Kim, M. Praszalowicz, and K. Goeke, Phys. Rev. D 61, 114006 (2000).
  47. T. Ledwig, A. Silva, H.-C. Kim, and K. Goeke, J. High Energy Phys. 07 (2008) 132.
  48. N. Sharma, H. Dahiya, P. K. Chatley, and M. Gupta, Phys. Rev. D 79, 077503 (2009).
  49. H. Dahiya, A. Girdhar, and M. Randhawa, Indian J. Phys. 98, 4961 (2024).
  50. A. Faessler, T. Gutsche, B. R. Holstein, M. A. Ivanov, J. G. Korner, and V. E. Lyubovitskij, Phys. Rev. D 78, 094005 (2008).
  51. G. Ramalho and K. Tsushima, Phys. Rev. D 94, 014001 (2016).
  52. M. Bourquin et al. (Bristol-Geneva-Heidelberg-Orsay-Rutherford-Strasbourg Collaboration), Z. Phys. C 12, 307 (1982).
  53. M. Bourquin et al. (Bristol-Geneva-Heidelberg-Orsay-Rutherford-Strasbourg Collaboration), Z. Phys. C 21, 1 (1983).
  54. M. Bourquin et al. (Bristol-Geneva-Heidelberg-Orsay-Rutherford-Strasbourg Collaboration), Z. Phys. C 21, 17 (1983).
  55. M. Bourquin et al., Z. Phys. C 21, 27 (1983).
  56. J. Wise, D. A. Jensen, M. N. Kreisler, F. Lomanno, R. Poster, M. S. Z. Rabin, K. Raychaudhuri, M. Way, and J. Humphrey, Phys. Lett. 98B, 123 (1981); 100B, 519(E) (1981).
  57. J. Dworkin et al., Phys. Rev. D 41, 780 (1990).
  58. S. Y. Hsueh et al., Phys. Rev. D 38, 2056 (1988).
  59. A. A. Affolder et al. (KTeV E832/E799 Collaboration), Phys. Rev. Lett. 82, 3751 (1999).
  60. A. Alavi-Harati et al. (KTeV Collaboration), Phys. Rev. Lett. 87, 132001 (2001).
  61. J. R. Batley et al. (NA48/I Collaboration), Phys. Lett. B 645, 36 (2007).
  62. J. R. Batley et al. (NA48/1 Collaboration), Phys. Lett. B 720, 105 (2013).
  63. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 127, 121802 (2021).
  64. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 04 (2026) 096.
  65. M. Ablikim et al. (BESIII Collaboration), arXiv:2509.09266.
  66. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  67. J.-J. Wu and B.-S. Zou, Few Body Syst. 56, 165 (2015).
  68. N. Isgur and G. Karl, Phys. Rev. D 18, 4187 (1978).
  69. S. Capstick and N. Isgur, Phys. Rev. D 34, 2809 (1986).
  70. H.-H. Zhong, M.-S. Liu, R.-H. Ni, M.-Y. Chen, X.-H. Zhong, and Q. Zhao, Phys. Rev. D 110, 116034 (2024).
  71. E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane, and T.-M. Yan, Phys. Rev. D 17, 3090 (1978).
  72. F. Huang, P. N. Shen, Y. B. Dong, and Z. Y. Zhang, Sci. China Phys. Mech. Astron. 59, 622002 (2016).
  73. B. Silvestre-Brac, Few Body Syst. 20, 1 (1996).
  74. Z. S. Brown, W. Detmold, S. Meinel, and K. Orginos, Phys. Rev. D 90, 094507 (2014).
  75. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 02 (2020) 049.
  76. A. Xu, Hadron Physics Online Forum, No. 134 (2026),LHCb-PAPER-2026-022, https://indico.itp.ac.cn/event/451/.
  77. B. Bakamjian and L. H. Thomas, Phys. Rev. 92, 1300 (1953).
  78. R. N. Faustov, Ann. Phys. (N.Y.) 78, 176 (1973).
  79. R. G. Ping, H. C. Chiang, and B. S. Zou, Phys. Rev. D 66, 054020 (2002).
  80. R. G. Ping, H. C. Chiang, and B. S. Zou, Nucl. Phys. A743, 149 (2004).
  81. R. G. Ping, B. S. Zou, and H. C. Chiang, Eur. Phys. J. A 23, 129 (2004).
  82. E. P. Wigner, Ann. Math. 40, 149 (1939).
  83. R. Faustov, Nuovo Cimento A 69, 37 (1970).
  84. P. Andreadis, A. Baltas, A. Le Yaouanc, L. Oliver, O. Pene, and J. C. Raynal, Ann. Phys. (N.Y.) 88, 242 (1974).
  85. D. Ebert, R. N. Faustov, V. O. Galkin, and A. P. Martynenko, Phys. Rev. D 70, 014018 (2004); 77, 079903(E) (2008).
  86. D. Ebert, R. N. Faustov, and V. O. Galkin, Phys. Rev. D 73, 094002 (2006).
  87. F. Gürsey, A. Pais, and L. A. Radicati, Phys. Rev. Lett. 13, 299 (1964).
  88. A. Le Yaouanc, L. Oliver, O. Pene, and J. C. Raynal, Hadron Transitions in the Quark Model (Gordon and Breach, New York, 1988).
  89. J.-Q. Chen, M.-J. Gao, and F. Wang, HEPNP 3, 408 (1979), https://cpc.ihep.ac.cn/article/id/3a559c6d-469a-4d1d-b830-b9cd2c5308a3.
  90. V. Rabl, G. Campbell, Jr., and K. C. Wali, J. Math. Phys. (N.Y.) 16, 2494 (1975).
  91. C. Q. Geng, C.-W. Liu, and T.-H. Tsai, Phys. Rev. D 103, 054018 (2021).
  92. R. L. Singleton, Phys. Rev. D 43, 2939 (1991).
  93. J. G. Korner and M. Kramer, Phys. Lett. B 275, 495 (1992).
  94. A. Kadeer, J. G. Korner, and U. Moosbrugger, Eur. Phys. J. C 59, 27 (2009).
  95. J. G. Körner, in Helmholtz International Summer School on Physics of Heavy Quarks and Hadrons (2014), pp. 169–184, arXiv:1402.2787.
  96. J. L. Goity, R. Lewis, M. Schvellinger, and L.-Z. Zhang, Phys. Lett. B 454, 115 (1999).
  97. M. L. Goldberger and S. B. Treiman, Phys. Rev. 111, 354 (1958).
  98. M. Ademollo and R. Gatto, Phys. Rev. Lett. 13, 264 (1964).
  99. Y. Lu, H.-J. Jing, and J.-J. Wu, Symmetry 16, 1061 (2024).
  100. A. Garcia, Phys. Rev. D 3, 2638 (1971).
  101. R. Flores-Mendieta, A. Garcia, A. Martinez, and J. J. Torres, Phys. Rev. D 65, 074002 (2002).
  102. C.-C. Lih and C.-Q. Geng, arXiv:2606.01768.
  103. B. Julia-Diaz and D. O. Riska, Nucl. Phys. A739, 69 (2004).
  104. D.-H. Lu, A. W. Thomas, and A. G. Williams, Phys. Rev. C 57, 2628 (1998).
  105. D.-H. Lu, S. N. Yang, and A. W. Thomas, Nucl. Phys. A684, 296 (2001).
  106. G. Ramalho and K. Tsushima, Phys. Rev. D 84, 054014 (2011).
  107. C. S. An, Q. B. Li, D. O. Riska, and B. S. Zou, Phys. Rev. C 74, 055205 (2006); 75, 069901(E) (2007).
  108. W. M. Tanenbaum et al., Phys. Rev. D 12, 1871 (1975).
  109. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 137, 091801 (2026).
  110. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 104, 072007 (2021).
  111. J. Lindquist, E. C. Swallow, R. L. Sumner, J. M. Watson, R. Winston, D. M. Wolfe, K. Reibel, D. M. Schwartz, A. J. Stevens, and T. A. Romanowski, Phys. Rev. D 16, 2104 (1977).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation