Three-nucleon contact forces in the Jacobi partial-wave basis

TL;DR

This paper develops three-nucleon contact potentials in the Jacobi partial-wave basis, providing a systematic, exchange-symmetric formulation up to order Q^2 for use in nuclear physics calculations.

Contribution

It introduces a novel construction of three-nucleon contact potentials in the Jacobi basis, ensuring exchange symmetry and extending the formalism up to order Q^2.

Findings

Constructed contact potentials up to A0Q^2 order

Ensured exchange symmetry in the potentials

Provided a separable, basis-independent formulation

Abstract

We construct the three-nucleon contact potentials in the Jacobi partial-wave basis. The potentials are built in the separable form as the products of the antisymmetrized three-nucleon states in which the nucleons are arbitrarily close to each other. We compile the three-nucleon contact potentials up to $\mathcal{O}(Q^2)$. These contact potentials are by construction independent operators under exchanges of any nucleon pairs.