Unitary ambiguity of NN contact interactions and the 3N force

preprint2020arXivOpen access

Abstract

We identify a redundancy between two- and three-nucleon contact interactions at the fourth and fifth order of the chiral expansion respectively. In particular we show that tensor-type and spin-orbit three-nucleon contact interactions effectively account for that part of the two-nucleon interaction which depends on the total center-of-mass momentum and is unconstrained by relativity. This might give the chiral effective field theory enough flexibility to successfully address A=3A=3 scattering observables already at N3LO.

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