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
  • Access by Xinjiang University

Novel constraints on spin-dependent light dark matter scattering

Alex Clarke1 and Maxim Pospelov1,2

  • 1School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
  • 2William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA

Phys. Rev. D 114, 055002 – Published 2 September, 2026

DOI: https://doi.org/10.1103/9ykw-gf17

Abstract

We explore the sensitivity of the Sudbury Neutrino Observatory (SNO) experiment to light dark matter particles χ with spin-dependent interactions with nucleons. We show that the pair-production of MeV scale dark matter is possible in heavy water (CANDU (Canada Deuterium Uranium)) reactors via D(n,χχ¯)He3, and calculate the expected rate within the simplest models of χ-nucleon interactions. Owing to a sizable Q-value for this reaction, a large fraction of dark matter (DM) particles produced this way are above the threshold for deuteron disintegration, D(χ,χ)np, which adds to the SNO neutral current signal. Evaluating the CANDU-to-SNO scheme for the production and detection of DM, we derive novel constraints for the χ-nucleon spin-dependent cross sections, showing that cross sections above σχp1033cm2 are generally excluded if mχ1.5MeV. An isospin-mirror reaction will occur in the Sun, and for the kinematically allowed region it excludes a portion of parameter space with cross sections on the order 1037cm2. We also evaluate the potential sensitivity of small “near” detectors placed in close proximity to a CANDU reactor to search for a coherent nuclear recoil, finding subdominant sensitivity.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (53)

  1. G. Bertone, D. Hooper, and J. Silk, Particle dark matter: Evidence, candidates and constraints, Phys. Rep. 405, 279 (2005).
  2. B. W. Lee and S. Weinberg, Cosmological lower bound on heavy neutrino masses, Phys. Rev. Lett. 39, 165 (1977).
  3. T. K. Bui et al. (TESSERACT Collaboration), First limits on light dark matter interactions in a low threshold two-channel athermal phonon detector from the TESSERACT collaboration, Phys. Rev. Lett. 135, 161002 (2025).
  4. T. Bringmann and M. Pospelov, Novel direct detection constraints on light dark matter, Phys. Rev. Lett. 122, 171801 (2019).
  5. C. Kouvaris and J. Pradler, Probing sub-GeV Dark Matter with conventional detectors, Phys. Rev. Lett. 118, 031803 (2017).
  6. M. Ibe, W. Nakano, Y. Shoji, and K. Suzuki, Migdal effect in dark matter direct detection experiments, J. High Energy Phys. 03 (2018) 194.
  7. J. Engel and P. Vogel, Neutralino inelastic scattering with subsequent detection of nuclear gamma-rays, Phys. Rev. D 61, 063503 (2000).
  8. M. Pospelov, Neutrino physics with dark matter experiments and the signature of new baryonic neutral currents, Phys. Rev. D 84, 085008 (2011).
  9. L. Baudis, G. Kessler, P. Klos, R. F. Lang, J. Menéndez, S. Reichard, and A. Schwenk, Signatures of dark matter scattering inelastically off nuclei, Phys. Rev. D 88, 115014 (2013).
  10. B. Dutta, W.-C. Huang, and J. L. Newstead, Probing the dark sector with nuclear transition photons, Phys. Rev. Lett. 131, 111801 (2023).
  11. C. Bird, P. Jackson, R. V. Kowalewski, and M. Pospelov, Search for dark matter in b>s transitions with missing energy, Phys. Rev. Lett. 93, 201803 (2004).
  12. S. N. Gninenko, N. V. Krasnikov, and V. A. Matveev, Muon G-2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN, Phys. Rev. D 91, 095015 (2015).
  13. E. Izaguirre, G. Krnjaic, P. Schuster, and N. Toro, Testing GeV-scale dark matter with fixed-target missing momentum experiments, Phys. Rev. D 91, 094026 (2015).
  14. B. Batell, M. Pospelov, and A. Ritz, Exploring portals to a hidden sector through fixed targets, Phys. Rev. D 80, 095024 (2009).
  15. E. Izaguirre, G. Krnjaic, P. Schuster, and N. Toro, New electron beam-dump experiments to search for MeV to few-GeV dark matter, Phys. Rev. D 88, 114015 (2013).
  16. B. Batell, R. Essig, and Z. Surujon, Strong constraints on Sub-GeV dark sectors from SLAC beam dump E137, Phys. Rev. Lett. 113, 171802 (2014).
  17. V. Brdar, B. Dutta, W. Jang, D. Kim, I. M. Shoemaker, Z. Tabrizi, A. Thompson, and J. Yu, Axionlike particles at future neutrino experiments: Closing the cosmological triangle, Phys. Rev. Lett. 126, 201801 (2021).
  18. B. J. Park et al. (NEON Collaboration), New constraints on axionlike particles with the NEON detector at a nuclear reactor, Phys. Rev. Lett. 134, 201002 (2025).
  19. A. A. Aguilar-Arevalo et al. (CONNIE Collaboration and Atucha-II Collaboration), Search for reactor-produced millicharged particles with skipper-CCDs at the CONNIE and Atucha-II experiments, Phys. Rev. Lett. 134, 071801 (2025).
  20. T. Gao and M. Pospelov, Constraints on millicharged particles from nuclear gamma-decays, Phys. Rev. D 113, 115044 (2026).
  21. N. Ackermann et al., Direct observation of coherent elastic antineutrino-nucleus scattering, Nature (London) 643, 1229 (2025).
  22. L. Waites, A. Thompson, A. Bungau, J. M. Conrad, B. Dutta, W.-C. Huang, D. Kim, M. Shaevitz, and J. Spitz, Axionlike particle production at beam dump experiments with distinct nuclear excitation lines, Phys. Rev. D 107, 095010 (2023).
  23. K. Eguchi et al. (KamLAND Collaboration), First results from KamLAND: Evidence for reactor anti-neutrino disappearance, Phys. Rev. Lett. 90, 021802 (2003).
  24. S. N. Ahmed et al. (SNO Collaboration), Measurement of the total active B-8 solar neutrino flux at the Sudbury Neutrino Observatory with enhanced neutral current sensitivity, Phys. Rev. Lett. 92, 181301 (2004).
  25. A. Abusleme et al. (JUNO Collaboration), First measurement of reactor neutrino oscillations at JUNO, Nature (London) 654, 343 (2026).
  26. B. Dutta, W.-C. Huang, J. L. Newstead, and V. Pandey, Inelastic nuclear scattering from neutrinos and dark matter, Phys. Rev. D 106, 113006 (2022).
  27. N. F. Bell, J. B. Dent, B. Dutta, J. Kumar, and J. L. Newstead, Indirect detection of low mass dark matter in direct detection experiments with inelastic scattering, Phys. Rev. D 106, 103016 (2022).
  28. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics, Course of Theoretical Physics (Pergamon Press, Oxford, 1982), 2nd ed., Vol. 4.
  29. A. A. Aguilar-Arevalo et al. (CONNIE Collaboration), Searches for CEνNS and physics beyond the Standard Model using skipper-CCDs at CONNIE, Phys. Rev. D 113, 092017 (2026).
  30. H. M. Chang et al. (TEXONO Collaboration), Search of axions at the Kuo-Sheng nuclear power station with a high-purity germanium detector, Phys. Rev. D 75, 052004 (2007).
  31. B. Xin, H. T. Wong, C. Y. Chang, C. P. Chen, H. B. Li, J. Li, F. S. Lee, S. T. Lin, V. Singh, F. Vannucci, S. C. Wu, Q. Yue, and Z. Y. Zhou, Production of electron neutrinos at nuclear power reactors and the prospects for neutrino physics, Phys. Rev. D 72, 012006 (2005).
  32. L. I. Schiff, On the capture of thermal neutrons by deuterons, Phys. Rev. 52, 242 (1937).
  33. N. Austern, The mechanism of nD capture, Phys. Rev. 84, 283 (1951).
  34. D. O. Riska and G. E. Brown, Meson exchange effects in n+p>d+gamma, Phys. Lett. B 38, 193 (1972).
  35. J. Torre and B. Goulard, Mesonic exchange currents and radiative thermal neutron capture by the deuteron, Phys. Rev. C 28, 529 (1983).
  36. J. Carlson and R. Schiavilla, Structure and dynamics of few nucleon systems, Rev. Mod. Phys. 70, 743 (1998).
  37. L. Marcucci, M. Viviani, R. Schiavilla, A. Kievsky, and S. Rosati, Electromagnetic structure of a=2 and 3 nuclei and the nuclear current operator, Phys. Rev. C 72, 014001 (2005).
  38. R. J. Pearson, A. B. Antoniazzi, and W. J. Nuttall, Tritium supply and use: A key issue for the development of nuclear fusion energy, Fusion Eng. Des. 136, 1140 (2018).
  39. E. G. Adelberger et al., Solar fusion cross sections II: The pp chain and CNO cycles, Rev. Mod. Phys. 83, 195 (2011).
  40. B. Aharmim et al. (SNO Collaboration), Combined analysis of all three phases of solar neutrino data from the Sudbury neutrino observatory, Phys. Rev. C 88, 025501 (2013).
  41. J. N. Bahcall, A. M. Serenelli, and S. Basu, New solar opacities, abundances, helioseismology, and neutrino fluxes, Astrophys. J. Lett. 621, L85 (2005).
  42. M. Butler, J.-W. Chen, and X. Kong, Neutrino deuteron scattering in effective field theory at next-to-next-to-leading order, Phys. Rev. C 63, 035501 (2001).
  43. S. Nakamura, T. Sato, S. Ando, T. S. Park, F. Myhrer, V. P. Gudkov, and K. Kubodera, Neutrino deuteron reactions at solar neutrino energies, Nucl. Phys. A707, 561 (2002).
  44. J. A. Grifols, E. Masso, and S. Mohanty, Neutrino magnetic moments and photodisintegration of deuterium, Phys. Lett. B 587, 184 (2004).
  45. I. A. E. Agency, Power reactor information system, (PRIS): Canada country statistics and reactor details (2024).
  46. J. B. Dent, B. Dutta, J. L. Newstead, and I. M. Shoemaker, Bounds on cosmic ray-boosted dark matter in simplified models and its corresponding neutrino-floor, Phys. Rev. D 101, 116007 (2020).
  47. W. Wang, L. Wu, W.-N. Yang, and B. Zhu, Spin-dependent scattering of boosted dark matter, Phys. Rev. D 107, 073002 (2023).
  48. S.-F. Ge, J. Sheng, C. Xia, and C.-Y. Xing, Nuclear production and analytic attenuation of energetic MeV solar dark matter, Phys. Lett. B 880, 140758 (2026).
  49. M. T. Ressell, M. B. Aufderheide, S. D. Bloom, K. Griest, G. J. Mathews, and D. A. Resler, Nuclear shell model calculations of neutralino-nucleus cross-sections for Si-29 and Ge-73, Phys. Rev. D 48, 5519 (1993).
  50. A. Aguilar-Arevalo et al. (CONNIE Collaboration), Search for light mediators in the low-energy data of the CONNIE reactor neutrino experiment, J. High Energy Phys. 04 (2020) 054.
  51. F. T. Avignone, C. Baktash, W. C. Barker, F. P. Calaprice, R. W. Dunford, W. C. Haxton, D. Kahana, R. T. Kouzes, H. S. Miley, and D. M. Moltz, Search for axions from the 1115-kev transition of Cu65, Phys. Rev. D 37, 618 (1988).
  52. B. Xin et al. (TEXONO Collaboration), Production of electron neutrinos at nuclear power reactors and the prospects for neutrino physics, Phys. Rev. D 72, 012006 (2005).
  53. J. A. Dror, R. Lasenby, and M. Pospelov, Dark forces coupled to nonconserved currents, Phys. Rev. D 96, 075036 (2017).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation