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arXiv 0808.0628nucl-th
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P波Lambda N-Sigma N耦合和9 Lambda Be的自旋轨道分裂

P-wave Lambda N - Sigma N coupling and the spin-orbit splitting of 9 Lambda Be

Y. Fujiwara, M. Kohno, Y. Suzuki

摘要:

本文用SU_6夸克模型重子-重子相互作用重新研究了9 λ Be激发态的自旋轨道分裂。先前从夸克模型Lambda N LS相互作用核生成Lambda α自旋轨道势的折叠过程预测,在模型FSS和fss 2中,Delta E_{ell s} =E_x(3/2^+)-E_x(5/2^+)的值要大3到5倍。这一次,我们从Lambda超子的核物质G-矩阵的LS分量开始计算Lambda α LS玻恩核。这个框架使得我们能够充分考虑一个重要的P波Lambda N-Sigma N耦合通过反对称LS^{(-)}力参与Fermi-Breit相互作用。我们发现,当FSS模型用于能量无关重整化RGM形式时,实验值Δ E^{exp}_{ells}=43 pm 5 keV,可由费米动量为kF =1.0 fm^{-1}的夸克模型G-矩阵LS相互作用重现.

英文摘要:

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.

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