Gießen 2007 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 32: Theorie

HK 32.7: Talk

Wednesday, March 14, 2007, 15:45–16:00, C

Chiral Dynamics of Nuclear Matter — •Norbert Kaiser, Stefan Fritsch, Monika Muehlbauer, and Wolfram Weise — Physik-Department T39, TU Muenchen, 85747 Garching

A systematic calculation of nuclear matter is performed which includes the long-range correlations between nucleons arising from one- and two-pion exchange [1]. In our approach the mechanism for nuclear saturation is mainly provided by Pauli-blocking in second order (iterated) one-pion exchange. The inclusion of the chiral $\pi N \Delta$-dynamics improves significantly the single-particle and isospin properties [2]. We calculate in the same framework also the density-dependent Fermi-liquid parameters. Moreover, in order to eliminate possible high momentum components, we introduce at each pion-baryon vertex a form factor of monopole type [3]. We demonstrate that the dependence on the resolution scale (i.e. the monopole mass $\Lambda$) can be compensated by counterterms with two running contact couplings. As a further application we study the in-medium chiral condensate beyond the linear density approximation. Below $\rho_0=0.16\,$fm$^{-3}$ we find small corrections from the derivative $d \bar E(k_f)/dm_\pi$, which are stable against variation of the regulator mass $\Lambda$.

[1] N. Kaiser, S. Fritsch and W. Weise, Nucl. Phys. A697, 255 (2002)

[2] S. Fritsch, N. Kaiser and W. Weise, Nucl. Phys. A750, 259 (2005)

[3] N. Kaiser, M. Muehlbauer and W. Weise, nucl-th/0610065

Work supported by BMBF and GSI.