Coupled-channels study of Lambda K and Sigma K states in the chiral SU(3) quark model

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dc.creatorHuang, F.
dc.creatorZhang, D.
dc.creatorZhang, Z. Y.
dc.creatorYu, Y. W.
dc.date2005-01-13
dc.date2005-06-20
dc.date.accessioned2026-07-07T10:49:21Z
dc.date.available2026-07-07T10:49:21Z
dc.descriptionThe $S$-wave $ΛK$ and $ΣK$ states with isospin $I=1/2$ are dynamically investigated within the framework of the chiral SU(3) quark model by solving a resonating group method (RGM) equation. The model parameters are taken from our previous work, which gave a good description of the energies of the baryon ground states, the binding energy of the deuteron, and the experimental data of the nucleon-nucleon ($NN$) and nucleon-hyperon ($NY$) scattering. Assumed not to give important contributions in the scattering processes, the s-channel quark-antiquark ($q\bar q$) annihilation interactions are not included as a first step. The results show a strong attraction between $Σ$ and $K$, which consequently results in a $ΣK$ quasi-bound state with about 17 MeV binding energy, unlike the case of $ΛK$ which is unbound. When the channel coupling of $ΛK$ and $ΣK$ is considered, a sharp resonance state near 1670 MeV with spin-parity $J^P=1/2^-$ is found. The narrow gap of the $ΛK$ and $ΣK$ thresholds, the strong attraction between $Σ$ and $K$, and the sizeable off-diagonal matrix elements of $ΛK$ and $ΣK$ are responsible for the appearance of this resonance.
dc.description15 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0501102
dc.identifierhttp://arxiv.org/abs/hep-ph/0501102
dc.identifierPhys.Rev.C71:064001,2005
dc.identifierdoi:10.1103/PhysRevC.71.064001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184189
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleCoupled-channels study of Lambda K and Sigma K states in the chiral SU(3) quark model
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