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HK: Hadronen und Kerne

HK 8: Struktur von Baryonen und Mesonen I

HK 8.8: Talk

Monday, March 24, 1997, 16:15–16:30, HS I

Meson-Meson Potentials from Lattice QCD and Inverse Scattering Theory — •H. Rudolf Fiebig¹, Harald Markum², Attila Mihály³, and Klaus Rabitsch² — ¹Physics Department, FIU - University Park, Miami, Florida 33199, USA — ²Institut für Kernphysik, Technische Universität Wien, A-1040 Wien, Österreich — ³Department of Theoretical Physics, Lajos Kossuth University, H-4010 Debrecen, Hungary

We analyze the interaction between mesons consisting of one heavy and one light valence quark or of two light valence quarks within four-dimensional lattice QCD. For this purpose we extend a method to extract potentials from a quantum field theory. It was developed for three-dimensional QED [1] and starts from the full correlation function of the corresponding two-particle system. We obtain attractive potentials of short range between the heavy-light mesons. This resembles a KK potential that was calculated via inverse scattering theory [2]. Results from current studies of a system of two light mesons will also be compared to calculations from inverse scattering theory.

[1] J.D. Canosa and H.R. Fiebig, Nucl. Phys. B (Proc. Suppl.) 39 (1994) 561.

[2] M. Sander and H.V. von Geramb, Nuclear Theory Report KTH–96/03, Univ. of Hamburg (1996).