Abstract
We generalize the relativistic field-theoretic (RFT) three-particle finite-volume formalism to systems of three identical, massive, spin-1/2 fermions, such as three neutrons. This allows, in principle, for the determination of the three-neutron interaction from the finite-volume spectrum of three-neutron states, which can be obtained from lattice QCD calculations.
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Acknowledgments
We thank Raúl Briceño, Vincenzo Cirigliano, Will Detmold, Dan Hackett, Andrew Jackura, and Felix Ziegler for useful discussions.
MTH is supported by UKRI Future Leader Fellowship MR/T019956/1 and in part by U.K. STFC grant ST/P000630/1. The work of FRL has been supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under grant Contract Numbers DE-SC0011090 and DE-SC0021006. FRL acknowledges financial support by the Mauricio and Carlota Botton Fellowship. The work of SRS and ZTD is supported in part by the USDOE grant No. DE-SC0011637.
FRL would like to thank the Physics Department at the University of Washington for its hospitality during a visit in which this work was initiated.
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Draper, Z.T., Hansen, M.T., Romero-López, F. et al. Three relativistic neutrons in a finite volume. J. High Energ. Phys. 2023, 226 (2023). https://doi.org/10.1007/JHEP07(2023)226
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DOI: https://doi.org/10.1007/JHEP07(2023)226