Chiral effective field theory for nuclear matter

TL;DR

This paper develops a chiral effective field theory for nuclear matter, incorporating power counting and resummation techniques, and presents results for ground state energy, quark condensate, and pion self-energy.

Contribution

It introduces a new chiral power counting scheme for nuclear matter that accounts for both short- and long-range interactions and employs unitary chiral perturbation theory for resummations.

Findings

Ground state energy per particle calculated up to next-to-leading order.

In-medium chiral quark condensate analyzed.

Pion self-energy evaluated in the nuclear medium.

Abstract

We report on the recent developments of a new effective field theory for nuclear matter [1,2,3]. We present first the nuclear matter chiral power counting that takes into account both short-- and long--range inter-nucleon interactions. It also identifies non-perturbative strings of diagrams, related to the iteration of nucleon-nucleon interactions, which have to be re-summed. The methods of unitary chiral perturbation theory has been shown to be a useful tool in order to perform those resummations. Results up to next-to-leading order for the ground state energy per particle of nuclear matter, the in-medium chiral quark condensate and pion self-energy are discussed.