论文标题

$^{27} $ al和$^{31} $ p核的库仑形式,使用库仑瓦朗斯·塔西模型和bohr-mottelson集体模型

Coulomb Form Factors of $^{27}$Al and $^{31}$P Nuclei Using Coulomb valance Tassie model and Bohr-Mottelson Collective Models with Different Potentials

论文作者

Jassim, Khalid S., Mohammed, Ranya Mahmoud

论文摘要

使用3/2 $^+_ 1 $的壳模型计算,纵向库仑C0,C2和C4的形式与核心极化效应进行了研究,激发能量为1.069 meV,5/2 $^+_ 2 $状态具有激发能量,激发能量为2.706 meV和2.706 meV和7/2 $ _ 1 $ _ 1 $ _ 1 $ natect ucuus in 2.30 $} $} $ 2.304 mev in 2.304 mev $^{31} $ P核中的1/2状态。两体有效的相互作用Wildenthal和通用SD壳相互作用A(USDA)用于SD壳轨道。 Coulomb Valance Tassie模型(CVTM)和Bohr-Mottelson(BM)集体模型已用于计算核心极化效应。三个电势是谐波振荡器(HO)电位,木 - 撒克逊(WS)和SKX电位,这些电势已用于计算径向单粒子基质元件的波函数。这些电位的结果与最终更新实验数据进行了比较。带有核心极化效应的包含的计算给出了良好的实验数据协议。

The longitudinal Coulomb C0, C2 and C4 form factors with core-polarization effects have been studied using shell model calculations for 3/2$^+_1$ state with excitation energy of 1.069 MeV, 5/2$^+_2$ state with excitation energy of 2.706 MeV and 7/2$^+_1$ state with excitation energy of 2.304 MeV state in $^{27}$Al nucleus and 1/2 state in $^{31}$P nucleus. The two-body effective interaction Wildenthal and universal sd-shell interaction A (USDA) are used for sd-shell orbits. The Coulomb valance Tassie model (CVTM) and Bohr-Mottelson (BM) collective model have been used to calculated the Core-polarization effects. Three potentials are Harmonic Oscillator (HO) potential, Wood-Saxon (WS) and SKX potential,which have been used to calculated the wave functions of radial single particle matrix elements. The results for these potentials are compared with final update experimental data. The calculations with inclusions of core-polarization effects give a good agreements of experimental data.

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