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arXiv 1604.07673nucl-thhep-ph
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$Λ$超核单粒子能量的代数模型

Algebraic model for single-particle energies of $Λ$ hypernuclei

L. Fortunato, K. Hagino

摘要:

基于$u(3)\times u(2)$李代数,提出了一个$Λ$超核的能谱模型,其中自旋为1/2的$Λ$粒子的内部自由度用费米$u(2)$方案处理,而超子在核内的运动用玻色子$u(3)$谐振子方案描述.在这个模型中,从自然动力学对称性得到了一个简单的计算$Λ$粒子单粒子能量的公式。该公式适用于$^{89}_Λ$ Y和$^{51}_Λ$ V超核的反应光谱的实验数据,提供了一个清晰的理论解释所观察到的结构。

英文摘要:

A model is proposed for the spectrum of $Λ$ hypernuclei based on the $u(3)\times u(2)$ Lie algebra, in which the internal degrees of freedom of the spin-1/2 $Λ$ particle are treated in the Fermionic $u(2)$ scheme, while the motion of the hyperon inside a nucleus is described in the Bosonic $u(3)$ harmonic oscillator scheme. Within this model, a simple formula for single-particle energies of the $Λ$ particle is obtained from the natural dynamical symmetry. The formula is applied to the experimental data on the reaction spectroscopy for the $^{89}_Λ$Y and $^{51}_Λ$V hypernuclei, providing a clear theoretical interpretation of the observed structures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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