Chiral effective field theory for nuclear matter with long- and short-range multi-nucleon interactions

Authors: Oller, J A; Lacour, A; Meißner, U-G

Source: Journal of Physics G: Nuclear and Particle Physics, Volume 37, Number 1, January 2010 , pp. 15106-15120(15)

Publisher: IOP Publishing

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Abstract:

We derive a novel chiral power counting scheme for in-medium chiral perturbation theory with explicit nucleonic and pionic degrees of freedom coupled to external sources. It allows for a systematic expansion taking into account local as well as pion-mediated inter-nucleon interactions. Based on this power counting, one can identify classes of non-perturbative diagrams that require a resummation. Within this scheme, the pion self-energy in asymmetric nuclear matter is analyzed and calculated up-to-and-including next-to-leading order (NLO). It is shown that the corrections involving in-medium nucleon–nucleon interactions cancel between each other at NLO. As a result, there are no corrections up to this order to the linear density approximation for the in-medium pion self-energy.

Document Type: Research Article

DOI: http://dx.doi.org/10.1088/0954-3899/37/1/015106

Publication date: January 1, 2010

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