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HK: Physik der Hadronen und Kerne

HK 5: Theory I

HK 5.9: Vortrag

Montag, 8. März 2004, 18:00–18:15, D

Quantum Chaos in Baryon Spectra — •Harald Markum¹, Willibald Plessas², Rainer Pullirsch¹, Bianka Sengl², and Robert F. Wagenbrunn² — ¹Atominstitut, TU Wien — ²Inst. f. Theoretische Physik, Univ. Graz

The Bohigas-Giannoni-Schmit conjecture for quantum chaos is formulated and evaluated within random-matrix theory. We discuss random-matrix theory as a tool to study the spectral behaviour of an analytically solvable Hamiltonian, of a model Hamiltonian, and of experimental data. As a particular case we consider the spectroscopy of baryons. Within the framework of a relativistic constituent quark model we investigate the excitation spectra of the nucleon and the delta with regard to a possible chaotic behaviour for the cases when a hyperfine interaction of either Goldstone-boson-exchange or one-gluon-exchange type is added to the confinement interaction.