Contribution to a conference proceedings/Journal Article

GSI-2026-00896

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The Nucleon interaction and neutron matter from the renormalization group

Schwenk, A.GSI* ; Friman, B.GSI* ; Bogner, S. K. ; Brown, G. E. ; Kuo, T. T. S.

2002
Inst. of Physics, Slovak Acad. of Sciences Bratislava

This record in other databases:

Report No.: nucl-th/0207005

Abstract: We show that the renormalization group decimation of modern nucleon potential models to low momenta results in a unique nucleon interaction \vlk. This interaction is free of short-ranged singularities and can be used directly in many-body calculations. The renormalization group (RG) scaling properties follow directly from the invariance of the scattering phase shifts. We discuss the RG treatment of Fermi liquids. The RG equation for the scattering amplitude in the two particle-hole channels is given at zero temperature. The flow equations are simplified by retaining only the leading term in an expansion in small momentum transfers. The RG flow is illustrated by first studying a system of spin-polarized fermions in a simple model. Finally, results for neutron matter are presented by employing the unique low momentum interaction \vlk~as initial condition of the flow. The RG approach yields the amplitude for non-forward scattering, which is of great interest for calculations of transport properties and superfluid gaps in neutron star interiors. The methods used can also be applied to condensed matter systems in the absence of long-ranged interactions.

Keyword(s): 11.10.Hi ; 21.30.Fe ; 21.65.+f ; 71.10.Ay

Note: 8 pages, 7 figures, Invited talk given by A.S. at 5th Int. Conf. RG 2002, Tatranska Strba (Slovakia), March, 2002, Acta Physica Slovaka in press Journal-ref: Acta Phys.Slov. 52 (2002) 207-214

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Contributing Institute(s):

1. Bibliothek & Dokumentation GSI (BUD)

Research Program(s):

1. 899 - ohne Topic (POF4-899) (POF4-899)

Experiment(s):

1. (Facility Altdaten therefore no facility)

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Database coverage:
SCOPUS

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