Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon  Interactions

Oller, J.A.; Lacour, A.; Meißner, U.-G.

doi:10.1088/0954-3899/37/1/015106

Journal Article

PreJuSER-12918

Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions

Oller, J. A. ; Lacour, A. ; Meißner, U.-G.FZJ*

2010
IOP Publ. Bristol

Journal of physics / G 37, 015106 (2010) [10.1088/0954-3899/37/1/015106]

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Please use a persistent id in citations: http://hdl.handle.net/2128/13312 doi:10.1088/0954-3899/37/1/015106

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.

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Note: We would like to thank Andreas Wirzba for discussions and encouragement. JAO also thanks Eulogio Oset for informative discussions. This work is partially funded by the grant MEC FPA2007-6277 and by the BMBF grant 06BN411, EU-Research Infrastructure Integrating Activity 'Study of Strongly Interacting Matter' (HadronPhysics2, grant no 227431) under the Seventh Framework Program of EU and HGF grant VH-VI-231 (Virtual Institute 'Spin and strong QCD').; 16 pages, 9 figures

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