Three relativistic neutrons in a finite volume

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.

arXiv comment47 pages including references, 1 figure

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• The three-pion $K$-matrix at NLO in ChPT
• Complex scaling in finite volume
• Precise study of triply charmed baryons ${\Omega }_{ccc}$