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Study the Nuclear Form Factors of Low-Lying Excited States in $${}^{7}\hbox {Li}$$ 7 Li Nucleus Using the Shell Model with Skyrme Effective Interaction
Few-Body Systems ( IF 1.7 ) Pub Date : 2019-08-20 , DOI: 10.1007/s00601-019-1524-x
R. A. Radhi , Ali A. Alzubadi

In the present work, the Skyrme interaction with the core polarization calculations has been used and implemented to study the inelastic electroexcitation form factor for low-lying excited states in \({}^{7}\hbox {Li}\). In particular, the \(1/2^{-}\) (0.478 MeV) and \(7/2^{-}\) (4.630 MeV) states have been analyzed within the \(0\hbar \omega \) shell model including core-polarization effect. The present results reveal that the core-polarization calculation incorporating Skyrme type interaction for the single-particle states reproduces the longitudinal electron scattering data and predicts the diffraction minimum correctly and describes the high momentum data that has not been reported before. The measured \(B(C2{\uparrow })\) value for the \(1/2^{-}\) transition is very well described. The result of the \(7/2^{-}\) transition is close to the measured value. Transverse form factors are better described by the single-particle wave functions obtained from Hartree–Fock with Skyrme type interaction, rather than by the harmonic-oscillator wave functions.

中文翻译:

使用具有 Skyrme 有效相互作用的壳模型研究 $${}^{7}\hbox {Li}$$ 7 Li Nucleus 中低位激发态的核形态因子

在目前的工作中,Skyrme 与核心极化计算的相互作用已被用于研究 \({}^{7}\hbox {Li}\) 中低激发态的非弹性电激发形状因子。特别是 \(1/2^{-}\) (0.478 MeV) 和 \(7/2^{-}\) (4.630 MeV) 状态已经在 \(0\hbar \omega \)壳模型包括核极化效应。目前的结果表明,结合单粒子状态的 Skyrme 型相互作用的核心极化计算再现了纵向电子散射数据并正确预测了衍射最小值,并描述了以前未报道过的高动量数据。对 \(1/2^{-}\) 转换的测量 \(B(C2{\uparrow })\) 值进行了很好的描述。\(7/2^{-}\) 跃迁的结果与实测值接近。从 Hartree-Fock 获得的单粒子波函数与 Skyrme 型相互作用更好地描述横向形状因子,而不是谐波振荡器波函数。
更新日期:2019-08-20
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