Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory

Abstract

In chiral effective field theory the leading order (LO) nucleon-nucleon potential includes two contact terms, in the two spin channels S=0, 1, and the one-pion-exchange potential. When the pion degrees of freedom are integrated out, as in the pionless effective field theory, the LO potential includes two contact terms only. In the three-nucleon system, the pionless theory includes a three-nucleon contact term interaction at LO whereas the chiral effective theory does not. Accordingly arbitrary differences could be observed in the LO description of three- and four-nucleon binding energies. We analyze the two theories at LO and conclude that a three-nucleon contact term is necessary at this order in both theories. In turn this implies that subleading three-nucleon contact terms should be promoted to lower orders. Furthermore, this analysis shows that one single low-energy constant might be sufficient to explain the large values of the singlet and triplet scattering lengths.


Autore Pugliese

Tutti gli autori

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

Titolo volume/Rivista

PHYSICAL REVIEW C


Anno di pubblicazione

2017

ISSN

2469-9985

ISBN

Non Disponibile


Numero di citazioni Wos

2

Ultimo Aggiornamento Citazioni

28/04/2018


Numero di citazioni Scopus

1

Ultimo Aggiornamento Citazioni

28/04/2018


Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile