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Göttingen 1997 – scientific programme

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HK: Hadronen und Kerne

HK 55: Struktur von Baryonen und Mesonen VI

HK 55.4: Group Report

Wednesday, March 26, 1997, 18:15–18:45, HS I

In–Medium Pion Weak Decay from Chiral Perturbation Theory — •Mariana Kirchbach1 and Andreas Wirzba21Institut f"ur Kernphysik, Universit"at Mainz, D-55099 Mainz, Germany — 2Institut f"ur Kernphysik, TH Darmstadt, D-64289 Darmstadt, Germany

Two–point functions related to the pion weak decay constant fπ are calculated from the generating functional of chiral perturbation theory in the mean–field approximation and the heavy–baryon limit [1]. The aim is to demonstrate that Lorentz invariance is violated in the presence of background matter. This fact manifests itself in the splitting of both fπ and the pion mass into uncorrelated time– and spacelike parts. We emphasize the different in–medium renormalizations of the correlation functions, show the inequivalence between the in–medium values of fπ deduced from Walecka–type models, on the one hand, and QCD sum rules, on the other hand, and elaborate on the importance for some nuclear physics observables [2].

[1] M. Kirchbach and A. Wirzba, Nucl. Phys. A604 (1996) 395.

[2] M. Kirchbach and A. Wirzba, hep-ph/9609291.

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