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Roles of quark-pair correlations in baryon structure and non-leptonic weak transitions of hyperon

K. Suzuki·E. Hiyama·H. Toki·M. Kamimura
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Abstract

Roles of quark-pair correlations in the baryon structure and the hyperon non-leptonic weak decay are studied within the non-relativistic constituent quark model. We construct the SU(3) ground state baryons by solving the three body problem rigorously with the confinement force and the short range spin-dependent attraction. We emphasize the importance of the $s=0$ quark-quark correlation to reproduce the $ΔI=1/2$ enhancement of the hyperon decay, and demonstrate that resulting static properties as well as the decay amplitudes agree with the experiments, if we deal with the $s=0$ correlation properly. Special attention is also put on the consequences of the SU(6) spin-flavor symmetry breaking due to the $s=0$ correlation. Calculated magnetic moments are the almost same as the naive SU(6) predictions in spite of the existence of the strong correlations.

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K. Suzuki, E. Hiyama, H. Toki, M. Kamimura. 2000-02-21. Roles of quark-pair correlations in baryon structure and non-leptonic weak transitions of hyperon. https://arxiv.org/abs/nucl-th/0002047

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