Three-nucleon contact interaction at the next-to-leading order

Abstract

A satisfactory description of bound and scattering states of the three-nucleon (3N) system is still lacking, contrary to what happens in the two-nucleon case. In the framework of chiral effective theory, it is possible that a realistic 3N interaction will require the inclusion of subleading contact terms, which are unconstrained by chiral symmetry. We construct the minimal 3N contact Lagrangian imposing all constraints from the discrete symmetries, Fierz identities and Poincaré covariance, and show that it consists of 10 independent operators. By integrating out the pions from the effective theory we derive the pion-induced contributions to the corresponding low-energy constants (LECs), and find no clear signal of convergence of the pionful theory between N2LO and N3LO.


Autore Pugliese

Tutti gli autori

  • L. Girlanda , A. Kievsky , M. Viviani

Titolo volume/Rivista

POS PROCEEDINGS OF SCIENCE


Anno di pubblicazione

2012

ISSN

1824-8039

ISBN

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Nessuna citazione

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Settori ERC

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Codici ASJC

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