Entanglement and accidental symmetries in the nucleon-nucleon system
- URL: http://arxiv.org/abs/2510.09466v1
- Date: Fri, 10 Oct 2025 15:21:01 GMT
- Title: Entanglement and accidental symmetries in the nucleon-nucleon system
- Authors: Alma L. Cavallin, Oliver Thim, Christian Forssén,
- Abstract summary: Entanglement suppression is not observed in neutron-neutron scattering.<n>We study the connection between accidental symmetries in the nuclear interaction and spin entanglement in two-nucleon scattering.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the connection between accidental symmetries in the nuclear interaction and spin entanglement in two-nucleon scattering. Specifically, we incorporate different levels of Wigner $SU(4)$ and Serber symmetries into leading-order potentials derived from chiral effective field theory. We conduct a quantitative analysis by computing the full $S$ matrix, demonstrating that the neutron-proton spin entanglement can be related to the symmetry properties of the interaction and the presence of certain operators and partial waves. Furthermore, we study the order-by-order evolution of the spin entanglement, up to next-to-next-to-leading order in Weinberg power counting, for both neutron-proton and neutron-neutron scattering. Entanglement suppression is not observed in neutron-neutron scattering, which can be attributed to the Pauli principle and the absence of accidental symmetries in this system. We conclude that entanglement is a useful guide for studying the power counting and symmetries in nuclear interactions derived from effective field theories.
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