Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-02-12
J.Phys.G37:015106,2010
Physics
Nuclear Physics
Nuclear Theory
16 pages, 7 figures. Final version to match the published one
Scientific paper
10.1088/0954-3899/37/1/015106
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.
Lacour Andre
Meißner Ulf-G.
Oller Jose Antonio
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