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Neutrino helicity oscillations in astrophysical environments: A many-body approach

Yiheng Xu1,*, Julien Froustey2,†, George M. Fuller1,‡, Lukáš Gráf3,4,§, and Amol V. Patwardhan5,∥

  • 1Department of Physics, University of California San Diego, La Jolla, California 92093, USA
  • 2Institut de Física Corpuscular (IFIC), CSIC-Universitat de València, Parc Científic UV, C/ Catedrático José Beltrán 2, E-46980 Paterna (Valencia), Spain
  • 3Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University in Prague, V Holešovičkách 2, 180 00 Praha 8, Czech Republic
  • 4Institute of Physics, Silesian University in Opava, Bezručovo náměstí 1150/13, 746 01 Opava, Czech Republic
  • 5Department of Physics, Reed College, Portland, Oregon 97202, USA

  • *Contact author: y7xu@physics.ucsd.edu
  • †Contact author: julien.froustey@ific.uv.es
  • ‡Contact author: gfuller@physics.ucsd.edu
  • §Contact author: lukas.graf@matfyz.cuni.cz
  • ∥Contact author: apatwardhan@reed.edu

Phys. Rev. D 114, 063016 – Published 9 September, 2026

DOI: https://doi.org/10.1103/2p4r-f1gs

Abstract

Neutrino rest mass enables left-handed states to “flip” to right-handed states and vice versa. In-medium effects can enhance the probability for such spin flip. We demonstrate that a full many-body calculation of this process in neutrino-dense environments can lead to spin-flip probabilities that exceed by orders of magnitude those calculated with mean-field treatments. We study simple configurations with a few neutrinos in well-defined momentum states, for which we show that the helicity conversion enhancement is connected to many-body momentum exchange. Such an effect would therefore be missed in a calculation that considers only forward processes. We speculate on the potential astrophysical implications of these results and the range of applicability of our calculation and its limitations.

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References (102)

  1. Hans-Thomas Janka, Explosion mechanisms of core-collapse supernovae, Annu. Rev. Nucl. Part. Sci. 62, 407 (2012).
  2. Anthony Mezzacappa, Eirik Endeve, O. E. Bronson Messer, and Stephen W. Bruenn, Physical, numerical, and computational challenges of modeling neutrino transport in core-collapse supernovae, Living Rev. Comput. Astrophys. 6, 4 (2020).
  3. Adam Burrows and David Vartanyan, Core-collapse supernova explosion theory, Nature (London) 589, 29 (2021).
  4. David Radice, Sebastiano Bernuzzi, and Albino Perego, The dynamics of binary neutron star mergers and GW170817, Annu. Rev. Nucl. Part. Sci. 70, 95 (2020).
  5. Francois Foucart, Neutrino transport in general relativistic neutron star merger simulations, Living Rev. Comput. Astrophys. 9, 1 (2023).
  6. Margaret E. Burbidge, G. R. Burbidge, William A. Fowler, and F. Hoyle, Synthesis of the elements in stars, Rev. Mod. Phys. 29, 547 (1957).
  7. A. G. W. Cameron, Nuclear reactions in stars and nucleogenesis, Publ. Astron. Soc. Pac. 69, 201 (1957).
  8. S. E. Woosley and Robert D. Hoffman, The α-process and the r-process, Astrophys. J. 395, 202 (1992).
  9. B. S. Meyer, The r-, s-, and p-processes in nucleosynthesis, Annu. Rev. Astron. Astrophys. 32, 153 (1994).
  10. R. D. Hoffman, S. E. Woosley, G. M. Fuller, and B. S. Meyer, Production of the light p-process nuclei in neutrino-driven winds, Astrophys. J. 460, 478 (1996).
  11. C. Fröhlich, G. Martínez-Pinedo, M. Liebendörfer, F.-K. Thielemann, E. Bravo, W. R. Hix, K. Langanke, and N. T. Zinner, Neutrino-induced nucleosynthesis of A>64 nuclei: The νp-process, Phys. Rev. Lett. 96, 142502 (2006).
  12. Jason Pruet, R. D. Hoffman, S. E. Woosley, H. T. Janka, and R. Buras, Nucleosynthesis in early supernova winds. II. The role of neutrinos, Astrophys. J. 644, 1028 (2006).
  13. Shinya Wanajo, The rp-process in neutrino-driven winds, Astrophys. J. 647, 1323 (2006).
  14. Tobias Fischer, Gang Guo, Karlheinz Langanke, Gabriel Martínez-Pinedo, Yong-Zhong Qian, and Meng-Ru Wu, Neutrinos and nucleosynthesis of elements, Prog. Part. Nucl. Phys. 137, 104107 (2024).
  15. Xilu Wang and Rebecca Surman, Neutrinos and heavy element nucleosynthesis, in Handbook of Nuclear Physics, edited by Isao Tanihata, Hiroshi Toki, and Toshitaka Kajino (Springer Nature, Singapore, 2023), pp. 1–19.
  16. Huaiyu Duan, George M. Fuller, and Yong-Zhong Qian, Collective neutrino oscillations, Annu. Rev. Nucl. Part. Sci. 60, 569 (2010).
  17. Sovan Chakraborty, Rasmus Hansen, Ignacio Izaguirre, and Georg Raffelt, Collective neutrino flavor conversion: Recent developments, Nucl. Phys. B908, 366 (2016).
  18. Irene Tamborra and Shashank Shalgar, New developments in flavor evolution of a dense neutrino gas, Annu. Rev. Nucl. Part. Sci. 71, 165 (2021).
  19. Sherwood Richers and Manibrata Sen, Fast Flavor Transformations, in Handbook of Nuclear Physics, edited by Isao Tanihata, Hiroshi Toki, and Toshitaka Kajino (2022), pp. 1–17.
  20. M. Cristina Volpe, Neutrinos from dense environments: Flavor mechanisms, theoretical approaches, observations, and new directions, Rev. Mod. Phys. 96, 025004 (2024).
  21. Lucas Johns, Sherwood Richers, and Meng-Ru Wu, Neutrino oscillations in core-collapse supernovae and neutron star mergers, Annu. Rev. Nucl. Part. Sci. 75, 399 (2025).
  22. James Pantaleone, Neutrino oscillations at high densities, Phys. Lett. B 287, 128 (1992).
  23. G. Sigl and G. Raffelt, General kinetic description of relativistic mixed neutrinos, Nucl. Phys. B406, 423 (1993).
  24. Cristina Volpe, Daavid Väänänen, and Catalina Espinoza, Extended evolution equations for neutrino propagation in astrophysical and cosmological environments, Phys. Rev. D 87, 113010 (2013).
  25. Alexey Vlasenko, George M. Fuller, and Vincenzo Cirigliano, Neutrino quantum kinetics, Phys. Rev. D 89, 105004 (2014).
  26. Daniel N. Blaschke and Vincenzo Cirigliano, Neutrino quantum kinetic equations: The collision term, Phys. Rev. D 94, 033009 (2016).
  27. Sherwood A. Richers, Gail C. McLaughlin, James P. Kneller, and Alexey Vlasenko, Neutrino quantum kinetics in compact objects, Phys. Rev. D 99, 123014 (2019); Phys. Rev. D109, 129902(E) (2024).
  28. Julien Froustey, Cyril Pitrou, and Maria Cristina Volpe, Neutrino decoupling including flavour oscillations and primordial nucleosynthesis, J. Cosmol. Astropart. Phys. 12 (2020) 015.
  29. Nicole F. Bell, Andrew A. Rawlinson, and R. F. Sawyer, Speedup through entanglement: Many body effects in neutrino processes, Phys. Lett. B 573, 86 (2003).
  30. Y. Pehlivan, A. B. Balantekin, Toshitaka Kajino, and Takashi Yoshida, Invariants of collective neutrino oscillations, Phys. Rev. D 90, 125040 (2014).
  31. Ermal Rrapaj, Exact solution of multiangle quantum many-body collective neutrino-flavor oscillations, Phys. Rev. C 101, 065805 (2020).
  32. Michael J. Cervia, Amol V. Patwardhan, A. B. Balantekin, S. N. Coppersmith, and Calvin W. Johnson, Entanglement and collective flavor oscillations in a dense neutrino gas, Phys. Rev. D 100, 083001 (2019).
  33. Alessandro Roggero, Entanglement and many-body effects in collective neutrino oscillations, Phys. Rev. D 104, 103016 (2021).
  34. Amol V. Patwardhan, Michael J. Cervia, and A. B. Balantekin, Spectral splits and entanglement entropy in collective neutrino oscillations, Phys. Rev. D 104, 123035 (2021).
  35. Zewei Xiong, Many-body effects of collective neutrino oscillations, Phys. Rev. D 105, 103002 (2022).
  36. Joshua D. Martin, A. Roggero, Huaiyu Duan, J. Carlson, and V. Cirigliano, Classical and quantum evolution in a simple coherent neutrino problem, Phys. Rev. D 105, 083020 (2022).
  37. Michael J. Cervia, Pooja Siwach, Amol V. Patwardhan, A. B. Balantekin, S. N. Coppersmith, and Calvin W. Johnson, Collective neutrino oscillations with tensor networks using a time-dependent variational principle, Phys. Rev. D 105, 123025 (2022).
  38. Denis Lacroix, A. B. Balantekin, Michael J. Cervia, Amol V. Patwardhan, and Pooja Siwach, Role of non-Gaussian quantum fluctuations in neutrino entanglement, Phys. Rev. D 106, 123006 (2022).
  39. Valentina Amitrano, Alessandro Roggero, Piero Luchi, Francesco Turro, Luca Vespucci, and Francesco Pederiva, Trapped-ion quantum simulation of collective neutrino oscillations, Phys. Rev. D 107, 023007 (2023).
  40. Marc Illa and Martin J. Savage, Multi-neutrino entanglement and correlations in dense neutrino systems, Phys. Rev. Lett. 130, 221003 (2023).
  41. Joshua D. Martin, Duff Neill, A. Roggero, Huaiyu Duan, and J. Carlson, Equilibration of quantum many-body fast neutrino flavor oscillations, Phys. Rev. D 108, 123010 (2023).
  42. Francesco Turro, Ivan A. Chernyshev, Ramya Bhaskar, and Marc Illa, Qutrit and qubit circuits for three-flavor collective neutrino oscillations, Phys. Rev. D 111, 043038 (2025).
  43. Ivan Chernyshev, Caroline E. P. Robin, and Martin J. Savage, Quantum magic and computational complexity in the neutrino sector, Phys. Rev. Res. 7, 023228 (2025).
  44. Pooja Siwach, A. Baha Balantekin, Amol V. Patwardhan, and Anna M. Suliga, Exploring entanglement and spectral split correlations in three-flavor collective neutrino oscillations, Phys. Rev. D 111, 063038 (2025).
  45. Luca Spagnoli et al., Collective neutrino oscillations in three flavors on qubit and qutrit processors, Phys. Rev. D 111, 103054 (2025).
  46. Katarina Bleau, Nikolina Ilic, Joachim Kopp, Ushak Rahaman, and Xin Yue Yu, Quantum simulation of collective neutrino oscillations using Dicke states, arXiv:2604.07452.
  47. Amol V. Patwardhan, Michael J. Cervia, Ermal Rrapaj, Pooja Siwach, and A. B. Balantekin, Many-body collective neutrino oscillations: Recent developments, in Handbook of Nuclear Physics, edited by Isao Tanihata, Hiroshi Toki, and Toshitaka Kajino (2023), pp. 1–16.
  48. A. B. Balantekin, Michael J. Cervia, Amol V. Patwardhan, Ermal Rrapaj, and Pooja Siwach, Quantum information and quantum simulation of neutrino physics, Eur. Phys. J. A 59, 186 (2023).
  49. Alexander Friedland and Cecilia Lunardini, Neutrino flavor conversion in a neutrino background: Single particle versus multiparticle description, Phys. Rev. D 68, 013007 (2003).
  50. Alexander Friedland and Cecilia Lunardini, Do many particle neutrino interactions cause a novel coherent effect?, J. High Energy Phys. 10 (2003) 043.
  51. Alexander Friedland, Bruce H. J. McKellar, and Ivona Okuniewicz, Construction and analysis of a simplified many-body neutrino model, Phys. Rev. D 73, 093002 (2006).
  52. Bruce H. J. McKellar, Ivona Okuniewicz, and James Quach, Non-Boltzmann behaviour in models of interacting neutrinos, Phys. Rev. D 80, 013011 (2009).
  53. Shashank Shalgar and Irene Tamborra, Do we have enough evidence to invalidate the mean-field approximation adopted to model collective neutrino oscillations?, Phys. Rev. D 107, 123004 (2023).
  54. Lucas Johns, Neutrino many-body correlations, Int. J. Mod. Phys. A 39, 2450122 (2024).
  55. Anson Kost, Lucas Johns, and Huaiyu Duan, Once-in-a-lifetime encounter models for neutrino media: From coherent oscillations to flavor equilibration, Phys. Rev. D 109, 103037 (2024).
  56. Manuel Goimil-García, Shashank Shalgar, and Irene Tamborra, Pauli blocking: Probing beyond-mean-field effects in neutrino flavor evolution, Phys. Rev. D 111, 083054 (2025).
  57. Anson Kost, Lucas Johns, and Huaiyu Duan, Once-in-a-lifetime encounter models for neutrino media. II. Quasisteady states and miscidynamic flavor evolution, Phys. Rev. D 112, 103004 (2025).
  58. Vincenzo Cirigliano, Srimoyee Sen, and Yukari Yamauchi, Neutrino many-body flavor evolution: The full Hamiltonian, Phys. Rev. D 110, 123028 (2024).
  59. Julien Froustey, Ermal Rrapaj, Yuhao Liu, Gushu Li, Costin Iancu, and Vincenzo Cirigliano, Collective neutrino oscillations: Many-body non-forward effects and non-classicality, arXiv:2606.12404.
  60. Vincenzo Cirigliano, George M. Fuller, and Alexey Vlasenko, A new spin on neutrino quantum kinetics, Phys. Lett. B 747, 27 (2015).
  61. Alexey Vlasenko, George M. Fuller, and Vincenzo Cirigliano, Prospects for neutrino-antineutrino transformation in astrophysical environments, arXiv:1406.6724.
  62. Julien Serreau and Cristina Volpe, Neutrino-antineutrino correlations in dense anisotropic media, Phys. Rev. D 90, 125040 (2014).
  63. A. Kartavtsev, G. Raffelt, and H. Vogel, Neutrino propagation in media: Flavor-, helicity-, and pair correlations, Phys. Rev. D 91, 125020 (2015).
  64. Amélie Chatelain and Cristina Volpe, Helicity coherence in binary neutron star mergers and non-linear feedback, Phys. Rev. D 95, 043005 (2017).
  65. James Y. Tian, Amol V. Patwardhan, and George M. Fuller, Prospects for neutrino spin coherence in supernovae, Phys. Rev. D 95, 063004 (2017).
  66. Henry R. Purcell, Sherwood Richers, Amol V. Patwardhan, and Francois Foucart, Three-flavor, full momentum space neutrino spin oscillations in neutron star mergers, Phys. Rev. D 110, 023003 (2024).
  67. Damiano F. G. Fiorillo, Georg G. Raffelt, and Günter Sigl, Collective neutrino-antineutrino oscillations in dense neutrino environments?, Phys. Rev. D 109, 043031 (2024).
  68. Shih-Jie Huang and Meng-Ru Wu, Collective neutrino-antineutrino pair oscillations, arXiv:2604.25687.
  69. Damiano F. G. Fiorillo, Georg G. Raffelt, and Günter Sigl, Neutrino-antineutrino superfluidity, arXiv:2605.27506.
  70. Kazuo Fujikawa and Robert Shrock, The magnetic moment of a massive neutrino and neutrino spin rotation, Phys. Rev. Lett. 45, 963 (1980).
  71. J. Schechter and J. W. F. Valle, Majorana Neutrinos and magnetic fields, Phys. Rev. D 24, 1883 (1981); Phys. Rev. D25, 283(E) (1982).
  72. A. M. Egorov, A. E. Lobanov, and A. I. Studenikin, Neutrino oscillations in electromagnetic fields, Phys. Lett. B 491, 137 (2000).
  73. Andre de Gouvea and Shashank Shalgar, Effect of transition magnetic moments on collective supernova neutrino oscillations, J. Cosmol. Astropart. Phys. 10 (2012) 027.
  74. Andre de Gouvea and Shashank Shalgar, Transition Magnetic Moments and Collective Neutrino Oscillations: Three-Flavor Effects and Detectability, J. Cosmol. Astropart. Phys. 04 (2013) 018.
  75. Carlo Giunti and Alexander Studenikin, Neutrino electromagnetic interactions: A window to new physics, Rev. Mod. Phys. 87, 531 (2015).
  76. Alexei I. Ternov, Matter-induced magnetic moment and neutrino helicity rotation in external fields, Phys. Rev. D 94, 093008 (2016).
  77. Alexandra Dobrynina, Alexander Kartavtsev, and Georg Raffelt, Helicity oscillations of Dirac and Majorana neutrinos, Phys. Rev. D 93, 125030 (2016).
  78. Alexander Studenikin, Electromagnetic properties of neutrinos: Three new phenomena in neutrino spin oscillations, EPJ Web Conf. 125, 04018 (2016).
  79. Alexander Studenikin, Overview on neutrino electromagnetic properties, J. Phys. Conf. Ser. 1342, 012047 (2020).
  80. A. V. Chukhnova and A. E. Lobanov, Neutrino flavor oscillations and spin rotation in matter and electromagnetic field, Phys. Rev. D 101, 013003 (2020).
  81. Sajad Abbar, Collective oscillations of Majorana neutrinos in strong magnetic fields and self-induced flavor equilibrium, Phys. Rev. D 101, 103032 (2020).
  82. A. V. Chukhnova and A. E. Lobanov, Resonance enhancement of neutrino oscillations due to transition magnetic moments, Eur. Phys. J. C 81, 821 (2021).
  83. Carlo Giunti, Konstantin A. Kouzakov, Yu-Feng Li, Alexey V. Lokhov, Alexander I. Studenikin, and Shun Zhou, Electromagnetic interactions of massive neutrinos and neutrino oscillations, J. Phys. Conf. Ser. 1342, 012118 (2020).
  84. Ziyi Yuan, Yu-Feng Li, and Xiang Zhou, Spin flavor spectral splits of supernova neutrino flavor conversions, arXiv:2105.07928.
  85. Hirokazu Sasaki and Tomoya Takiwaki, Neutrino-antineutrino oscillations induced by strong magnetic fields in dense matter, Phys. Rev. D 104, 023018 (2021).
  86. T. Bulmus and Y. Pehlivan, Spin-flavor precession phase effects in supernova, Chin. J. Phys. 91, 84 (2024).
  87. Hirokazu Sasaki, Tomoya Takiwaki, and A. Baha Balantekin, Spin-flavor precession of Dirac neutrinos in dense matter and its potential in core-collapse supernovae, Phys. Rev. D 108, 103046 (2023).
  88. Marco Manno, Pablo Martínez-Miravé, and Irene Tamborra, Matter- and magnetically-driven flavor conversion of neutrinos in magnetorotational collapses, Classical Quantum Gravity 43, 115001 (2026).
  89. J. Barranco, D. Delepine, V. Gonzalez-Macias, C. Lujan-Peschard, and M. Napsuciale, Scattering processes could distinguish Majorana from Dirac neutrinos, Phys. Lett. B 739, 343 (2014).
  90. J. Barranco, D. Delepine, M. Napsuciale, and A. Yebra, Distinguishing Dirac and Majorana neutrinos with astrophysical fluxes, J. Phys. G 47, 035201 (2020).
  91. Max Aker et al. (KATRIN Collaboration), Direct neutrino-mass measurement based on 259 days of KATRIN data, Science 388, 180 (2025).
  92. A. G. Adame et al. (DESI Collaboration), DESI 2024 VII: Cosmological constraints from the full-shape modeling of clustering measurements, J. Cosmol. Astropart. Phys. 07 (2025) 028.
  93. M. Abdul Karim et al. (DESI Collaboration), DESI DR2 results. II. Measurements of baryon acoustic oscillations and cosmological constraints, Phys. Rev. D 112, 083515 (2025).
  94. E. Camphuis et al. (SPT-3G Collaboration), SPT-3G D1: CMB temperature and polarization power spectra and cosmology from 2019 and 2020 observations of the SPT-3G main field, Phys. Rev. D 113, 083504 (2026).
  95. Frank J. Qu et al. (ACT Collaboration and SPT-3G Collaboration), Unified and consistent structure growth measurements from joint ACT, SPT, and Planck CMB lensing, Phys. Rev. Lett. 136, 021001 (2026).
  96. Nathaniel Craig, Daniel Green, Joel Meyers, and Surjeet Rajendran, No νs is good news, J. High Energy Phys. 09 (2024) 097.
  97. Lev Davidovich Landau and Evgenii Mikhailovich Lifshitz, Quantum Mechanics—Non-relativistic Theory Course of Theoretical Physics (Pergamon Press, New York, 1991), 3rd ed., Vol. 3.
  98. Michael J. Cervia, Interactions of neutrino wave packets, Phys. Rev. D 113, 043010 (2026).
  99. Zoha Laraib and Sherwood Richers, Many-body simulations of the fast flavor instability, Phys. Rev. D 112, L101304 (2025).
  100. Zoha Laraib and Sherwood Richers, Two-beam multiparticle many-body simulations of inhomogeneous fast flavor instabilities, Phys. Rev. D 112, 123045 (2025).
  101. Walter Greiner and Joachim Reinhardt, Field Quantization (Springer, New York, 1996).
  102. Pedro Dedin Neto and Ernesto Kemp, Neutrino-(anti)neutrino forward scattering potential for massive neutrinos at low energies, Mod. Phys. Lett. A 37, 2250048 (2022).

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