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Avoiding blindness in baryon number violating processes: Free-beam and intranuclear paths to neutron-antineutron transitions

Joshua L. Barrow1, Peter Fierlinger2, Yuri Kamyshkov3, Bernhard Meirose4,5, David Milstead6,7, Rabindra N. Mohapatra8, and Valentina Santoro5,9

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Phys. Rev. D 113, 095041 – Published 28 May, 2026

DOI: https://doi.org/10.1103/4p9z-nd1s

Abstract

Experimental searches for neutron-antineutron (n→n¯) transitions can be considered via two approaches: conversion in free-neutron beams and intranuclear transformation leading to matter instability in large-mass detectors. Plans for next-generation searches make it timely to highlight the complementarity, necessity, and limitations of each method. Converting the bound neutron limit into one for free neutrons traditionally utilizes nucleus-specific estimates of the in-medium suppression of n→n¯, obtained within mean-field theory under a single-operator assumption. This paper highlights how this suppression can be scenario-dependent, which can lead to deviations from the standard approach that can span several orders of magnitude. A further goal of the paper is to point out the need for a broader phenomenology program for n→n¯ that is akin to those developed for electric dipole moments and other systems for which short-distance new physics must be studied in medium. We find that moderate deviations from the standard suppression factor arise generically via multioperator interference effects with the largest enhancements corresponding to regions of parameter space with partial phase alignment between operator contributions.

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References (93)

  1. A. Riotto and M. Trodden, Annu. Rev. Nucl. Part. Sci. 49, 35 (1999).
  2. M. Dine and A. Kusenko, Rev. Mod. Phys. 76, 1 (2003).
  3. K. Babu, R. Mohapatra, and S. Nasri, Phys. Rev. Lett. 97, 131301 (2006).
  4. L. Canetti, M. Drewes, and M. Shaposhnikov, New J. Phys. 14, 095012 (2012).
  5. K. S. Babu, P. S. Bhupal Dev, E. C. F. S. Fortes, and R. N. Mohapatra, Phys. Rev. D 87, 115019 (2013).
  6. A. D. Sakharov, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967).
  7. S. Weinberg, Phys. Rev. Lett. 43, 1566 (1979).
  8. F. Wilczek and A. Zee, Phys. Rev. Lett. 43, 1571 (1979).
  9. G. ’t Hooft, Phys. Rev. Lett. 37, 8 (1976).
  10. V. A. Kuzmin, V. A. Rubakov, and M. E. Shaposhnikov, Phys. Lett. 155B, 36 (1985).
  11. K. Abe et al. (Super-Kamiokande Collaboration), Phys. Rev. D 95, 012004 (2017).
  12. K. Abe et al. (Super-Kamiokande Collaboration), Phys. Rev. D 90, 072005 (2014).
  13. K. S. Hirata et al. (Kamiokande Collaboration), Phys. Lett. B 220, 308 (1989).
  14. H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32, 438 (1974).
  15. P. Langacker, Phys. Rep. 72, 185 (1981).
  16. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  17. R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett. 44, 1316 (1980); 44, 1644 (1980).
  18. R. N. Mohapatra and G. Senjanovic, Phys. Rev. D 23, 165 (1981).
  19. S. Nussinov and R. Shrock, Phys. Rev. Lett. 88, 161601 (2002).
  20. R. Barbier et al., Phys. Rep. 420, 1 (2005).
  21. D. G. Phillips, W. M. Snow, K. Babu, S. Banerjee, D. V. Baxter, Z. Berezhiani et al., Phys. Rep. 612, 1 (2016).
  22. L. Calibbi, G. Ferretti, D. Milstead, C. Petersson, and R. Pöttgen, J. High Energy Phys. 05 (2016) 144; 10 (2017) 195(E).
  23. G. Fidecaro, M. Fidecaro, L. Lanceri et al., Phys. Lett. 156B, 122 (1985).
  24. G. Bressi, E. Calligarich, M. Cambiaghi et al., Il Nuovo Cimento A 103, 731 (1990).
  25. M. Baldo-Ceolin et al., Z. Phys. C 63, 409 (1994).
  26. A. Addazi et al., J. Phys. G 48, 070501 (2021).
  27. C. Berger, M. Fröhlich, H. Mönch et al. (Fréjus Collaboration), Phys. Lett. B 240, 237 (1990).
  28. J. Chung, W. W. M. Allison, G. J. Alner et al. (Soudan 2 Collaboration), Phys. Rev. D 66, 032004 (2002).
  29. B. Aharmim et al. (SNO Collaboration), Phys. Rev. D 96, 092005 (2017).
  30. K. Abe and et al. (Super-Kamiokande Collaboration), Phys. Rev. D 91, 072006 (2015).
  31. K. Abe and et al. (Super-Kamiokande Collaboration), Phys. Rev. D 103, 012008 (2021).
  32. W. M. Alberico, A. Bottino, and A. Molinari, Phys. Lett. 114B, 266 (1982).
  33. C. B. Dover, A. Gal, and J. M. Richard, Phys. Rev. D 27, 1090 (1983).
  34. W. M. Alberico, J. Bernabeu, A. Bottino, and A. Molinari, Nucl. Phys. A429, 445 (1984).
  35. C. B. Dover, A. Gal, and J. M. Richard, Phys. Rev. C 31, 1423 (1985).
  36. C. B. Dover, A. Gal, and J. M. Richard, Nucl. Instrum. Methods Phys. Res., Sect. A 284, 13 (1989).
  37. W. M. Alberico, A. De Pace, and M. Pignone, Nucl. Phys. A523, 488 (1991).
  38. J. Hufner and B. Z. Kopeliovich, Mod. Phys. Lett. A 13, 2385 (1998).
  39. E. Friedman and A. Gal, Phys. Rev. D 78, 016002 (2008).
  40. J. L. Barrow, E. S. Golubeva, E. Paryev, and J.-M. Richard, Phys. Rev. C 105, 065501 (2022).
  41. J. L. Barrow, E. S. Golubeva, E. Paryev, and J.-M. Richard, Phys. Rev. D 101, 036008 (2020).
  42. M. Pospelov and A. Ritz, Ann. Phys. (Amsterdam) 318, 119 (2005).
  43. J. Engel, M. J. Ramsey-Musolf, and U. van Kolck, Prog. Part. Nucl. Phys. 71, 21 (2013).
  44. C.-P. Liu, J. Engel, C. M. Maekawa, T. N. Mukhopadhyay, B. K. Sahoo, and M. J. Ramsey-Musolf, Phys. Rev. C 76, 035503 (2007).
  45. V. V. Flambaum and J. S. M. Ginges, Phys. Rev. A 65, 032113 (2002).
  46. J. de Vries, R. Higa, C.-P. Liu, E. Mereghetti, I. Stetcu, R. G. E. Timmermans, and U. van Kolck, Phys. Rev. C 84, 065501 (2011).
  47. J. Bsaisou, J. de Vries, C. Hanhart, S. Liebig, U.-G. Meißner, D. Minossi, A. Nogga, and A. Wirzba, J. High Energy Phys. 03 (2015) 104.
  48. J. Engel and J. Menéndez, Rep. Prog. Phys. 80, 046301 (2017).
  49. V. Cirigliano, W. Dekens, J. de Vries, M. L. Graesser, and E. Mereghetti, J. High Energy Phys. 12 (2018) 097.
  50. A. L. Fitzpatrick, W. Haxton, E. Katz, N. Lubbers, and Y. Xu, J. Cosmol. Astropart. Phys. 02 (2013) 004.
  51. N. Anand, A. L. Fitzpatrick, and W. C. Haxton, Phys. Rev. C 89, 065501 (2014).
  52. K. Schneck et al. (SuperCDMS Collaboration), Phys. Rev. D 91, 092004 (2015).
  53. L. Calibbi and G. Signorelli, Riv. Nuovo Cimento 41, 71 (2018).
  54. R. Kitano, M. Koike, and Y. Okada, Phys. Rev. D 66, 096002 (2002).
  55. K. S. Babu and R. N. Mohapatra, Phys. Rev. D 91, 096009 (2015).
  56. A. Addazi, Z. Berezhiani, and Y. Kamyshkov, Eur. Phys. J. C 77, 301 (2017).
  57. M. Litos et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 112, 131803 (2014).
  58. J. Gustafson et al. (Super-Kamiokande Collaboration), Phys. Rev. D 91, 072009 (2015).
  59. V. Takhistov et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 115, 121803 (2015).
  60. M. Takita, K. Arisaka, T. Kajita, T. Kifune, M. Koshiba, K. Miyano, M. Nakahata, Y. Oyama, N. Sato, T. Suda, A. Suzuki, K. Takahashi, and Y. Totsuka (Kamiokande Collaboration), Phys. Rev. D 34, 902 (1986).
  61. T. W. Jones et al. (Irvine–Michigan–Brookhaven (IMB) Collaboration), Phys. Rev. Lett. 52, 720 (1984).
  62. B. Abi et al. (DUNE Collaboration), Deep underground neutrino experiment (DUNE), far detector technical design report, Volume II: DUNE Physics, Technical Report, 2020, arXiv:2002.03005.
  63. K. Abe et al. (Hyper-Kamiokande Proto-Collaboration), Hyper-Kamiokande Design Report, Technical Report, 2018, v2arXiv:1805.04163.
  64. A. Abusleme et al. (JUNO Collaboration), Prog. Part. Nucl. Phys. 123, 103927 (2022).
  65. W. A. Rolke, A. M. López, and J. Conrad, Nucl. Instrum. Methods Phys. Res., Sect. A 551, 493 (2005).
  66. W. A. Rolke and A. M. López, Nucl. Instrum. Methods Phys. Res., Sect. A 458, 745 (2001).
  67. J. Lundberg, J. Conrad, W. Rolke, and A. López, Comput. Phys. Commun. 181, 683 (2010).
  68. J. Monroe and P. Fisher, Phys. Rev. D 76, 033007 (2007).
  69. J. Billard, L. Strigari, and E. Figueroa-Feliciano, Phys. Rev. D 89, 023524 (2014).
  70. F. Ruppin, J. Billard, E. Figueroa-Feliciano, and L. Strigari, Phys. Rev. D 90, 083510 (2014).
  71. T. W. Jones, R. M. Bionta, G. Blewitt et al. (IMB Collaboration), Phys. Rev. Lett. 52, 720 (1984).
  72. K. Abe et al. (Super-Kamiokande Collaboration), Phys. Rev. D 103, 012008 (2021).
  73. M. Baldo-Ceolin, P. Benetti, T. Bitter et al., Phys. Lett. B 236, 95 (1990).
  74. V. Santoro et al., J. Phys. G 52, 040501 (2025).
  75. V. Santoro et al., J. Neutron Res. 25, 315 (2024).
  76. E. Rinaldi, S. Syritsyn, M. L. Wagman, M. I. Buchoff, C. Schroeder, and J. Wasem, Phys. Rev. Lett. 122, 162001 (2019).
  77. E. Rinaldi, S. Syritsyn, M. L. Wagman, M. I. Buchoff, C. Schroeder, and J. Wasem, Phys. Rev. D 99, 074510 (2019).
  78. A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, and V. F. Weisskopf, Phys. Rev. D 9, 3471 (1974).
  79. A. Chodos, R. L. Jaffe, K. Johnson, and C. B. Thorn, Phys. Rev. D 10, 2599 (1974).
  80. A. Chodos and C. B. Thorn, Phys. Lett. B 53, 359 (1974).
  81. Z. Berezhiani and A. Vainshtein, Phys. Lett. B 788, 58 (2019).
  82. S. Rao and R. E. Shrock, Phys. Lett. 116B, 238 (1982).
  83. S. Rao and R. E. Shrock, Nucl. Phys. B232, 143 (1984).
  84. M. I. Buchoff and M. L. Wagman, Phys. Rev. D 93, 016005 (2016).
  85. A. W. Thomas, Int. J. Mod. Phys. E 27, 1840001 (2019).
  86. J. Arrington, D. W. Higinbotham, G. Rosner, and M. Weinstein, Prog. Part. Nucl. Phys. 67, 898 (2012).
  87. J. Arrington, N. Fomin, and A. Schmidt, Annu. Rev. Nucl. Part. Sci. 72, 307 (2022).
  88. S. Girmohanta and R. Shrock, Phys. Rev. D 101, 095012 (2020).
  89. S. Rao and R. E. Shrock, Phys. Lett. 116B, 238 (1982).
  90. Z. Berezhiani, Eur. Phys. J. C 81, 33 (2021).
  91. G. Dvali, M. Ettengruber, and A. Stuhlfauth, Phys. Rev. D 109, 055046 (2024).
  92. E. D. Davis and A. R. Young, Phys. Rev. D 95, 036004 (2017).
  93. E. Friedman and A. Gal, Phys. Rev. D 78, 016002 (2008).

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Phys. Rev. D 113, 095041– Published 28 May, 2026
  • Received 20 December 2025
  • Accepted 1 May 2026
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