Towards a more refined model of three-nucleon interaction

We derive the minimal form of the two-derivative three-nucleon contact interaction by imposing all constraints from discrete symmetries and Fierz identities. In order to comply with the requirements of Poincaré covariance, a basis of operators depending on relative momenta is used. The resulting interaction depends on 10 unknown low-energy constants and leads to a three-nucleon potential which we give in local form in coordinate space.

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