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P-wave Lambda N - Sigma N coupling and the spin-orbit splitting of 9 Lambda Be
- Source :
- Mod.Phys.Lett.A24:1031-1034,2009
- Publication Year :
- 2008
-
Abstract
- We reexamine the spin-orbit splitting of 9 Lambda Be excited states in terms of the SU_6 quark-model baryon-baryon interaction. The previous folding procedure to generate the Lambda alpha spin-orbit potential from the quark-model Lambda N LS interaction kernel predicted three to five times larger values for Delta E_{ell s}=E_x(3/2^+)-E_x(5/2^+) in the model FSS and fss2. This time, we calculate Lambda alpha LS Born kernel, starting from the LS components of the nuclear-matter G-matrix for the Lambda hyperon. This framework makes it possible to take full account of an important P-wave Lambda N - Sigma N coupling through the antisymmetric LS^{(-)} force involved in the Fermi-Breit interaction. We find that the experimental value, Delta E^{exp}_{ell s}=43 pm 5 keV, is reproduced by the quark-model G-matrix LS interaction with a Fermi-momentum around k_F=1.0 fm^{-1}, when the model FSS is used in the energy-independent renormalized RGM formalism.<br />Comment: 5 pages, no figures
- Subjects :
- Nuclear Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Mod.Phys.Lett.A24:1031-1034,2009
- Publication Type :
- Report
- Accession number :
- edsarx.0808.0628
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1142/S0217732309000528