Lambda alpha, Sigma alpha and Xi alpha potentials derived from the SU6 quark-model baryon-baryon interaction
| dc.creator | Fujiwara, Y. | |
| dc.creator | Kohno, M. | |
| dc.creator | Suzuki, Y. | |
| dc.date | 2006-10-23 | |
| dc.date | 2006-12-06 | |
| dc.date.accessioned | 2026-07-07T11:07:41Z | |
| dc.date.available | 2026-07-07T11:07:41Z | |
| dc.description | We calculate Lambda alpha, Sigma alpha and Xi alpha potentials from the nuclear-matter G-matrices of the SU6 quark-model baryon-baryon interaction. The alpha-cluster wave function is assumed to be a simple harmonic-oscillator shell-model wave function. A new method is proposed to derive the direct and knock-on terms of the interaction Born kernel from the hyperon-nucleon G-matrices, with explicit treatments of the nonlocality and the center-of-mass motion between the hyperon and alpha. We find that the SU6 quark-model baryon-baryon interactions, FSS and fss2, yield a reasonable bound-state energy for 5 He Lambda, -3.18 -- -3.62 MeV, in spite of the fact that they give relatively large depths for the Lambda single-particle potentials, 46 -- 48 MeV, in symmetric nuclear matter. An equivalent local potential derived from the Wigner transform of the nonlocal Lambda alpha kernel shows a strong energy dependence for the incident Lambda-particle, indicating the importance of the strangeness-exchange process in the original hyperon-nucleon interaction. The Sigma alpha and Xi alpha potentials are repulsive with the attractive isospin I=1/2 (Sigma alpha) and I=0 (Xi alpha) components and the repulsive I=3/2 (Sigma alpha) and I=1 (Xi alpha) components. | |
| dc.description | 34 pages, 16 figures | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0610086 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0610086 | |
| dc.identifier | Nucl.Phys.A784:161-187,2007 | |
| dc.identifier | doi:10.1016/j.nuclphysa.2006.12.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189924 | |
| dc.subject | Nuclear Theory | |
| dc.title | Lambda alpha, Sigma alpha and Xi alpha potentials derived from the SU6 quark-model baryon-baryon interaction | |
| dc.type | text |