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Spin-orbit splitting of 9 Lambda Be excited states studied with the SU_6 quark-model baryon-baryon interactions

Y. Fujiwara·M. Kohno·K. Miyagawa·Y. Suzuki
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Abstract

The previous Faddeev calculation of the two-alpha plus Lambda system for 9 Lambda Be is extended to incorporate the spin-orbit components of the SU_6 quark-model baryon-baryon interactions. We employ the Born kernel of the quark-model Lambda N LS interaction, and generate the spin-orbit component of the Lambda alpha potential by the alpha-cluster folding. The Faddeev calculation in the jj-coupling scheme implies that the direct use of the quark-model Born kernel for the Lambda N LS component is not good enough to reproduce the small experimental value Delta E^exp_{ls}=43 +- 5 keV for the 5/2^+ - 3/2^+ splitting. This procedure predicts three to five times larger values in the model FSS and fss2. The spin-orbit contribution from the effective meson-exchange potentials in fss2 is argued to be unfavorable to the small ls splitting, through the analysis of the Scheerbaum factors for the single-particle spin-orbit potentials calculated in the G-matrix formalism.

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Y. Fujiwara, M. Kohno, K. Miyagawa, Y. Suzuki. 2004-07-13. Spin-orbit splitting of 9 Lambda Be excited states studied with the SU_6 quark-model baryon-baryon interactions. https://doi.org/10.1103/physrevc.70.047002

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