Microscopic coupled-channel calculation of proton and alpha inelastic scattering to the $4^+_1$ and $4^+_2$ states of $^{24}\textrm{Mg}$

Y. Kanada-En’yo, K. Ogata
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引用次数: 3

Abstract

Background: The triaxial and hexadecapole deformations of the K=0+ and K=2+ bands of 24Mg have been investigated by the inelastic scatterings of various probes, including electrons, protons, and alpha particles, for a prolonged time. However, it has been challenging to explain the unique properties of the scatterings observed for the $4^+_1$ state through reaction calculations. Purpose: To investigate the structure and transition properties of the K=0+ and K=2+ bands of 24Mg employing the microscopic structure and reaction calculations via inelastic proton and alpha-scattering. Particularly, the E4 transitions to the $4^+_1$ and $4^+_2$ states were reexamined. Method: The structure of 24Mg was calculated employing the variation after the parity and total-angular momentum projections in the framework of the antisymmetrized molecular dynamics(AMD). The inelastic proton and alpha reactions were calculated by the microscopic coupled-channel (MCC) approach by folding the Melbourne g-matrix NN interaction with the AMD densities of 24Mg. Results: Reasonable results were obtained on the properties of the structure, including the energy spectra and E2 and E4 transitions of the K=0+ and K=2+ bands owing to the enhanced collectivity of triaxial deformation. The MCC+AMD calculation successfully reproduced the angular distributions of the $4^+_1$ and $4^+_2$ cross sections of proton scattering at incident energies of $E_p$=40--100MeV and alpha-scattering at $E_\alpha$=100--400MeV. Conclusions: This is the first microscopic calculation that described the unique properties of the $0^+_1\to 4^+_1$ transition. In the inelastic scattering to the $4^+_1$ state, the dominant two-step process of the $0^+_1\to 2^+_1\to 4^+_1$ transitions and the deconstructive interference is the weak one-step process were essential.
$^{24}\textrm{Mg}$ $4^+_1$和$4^+_2$态质子和α非弹性散射的微观耦合通道计算
背景:利用各种探针(包括电子、质子和α粒子)长时间的非弹性散射,研究了24Mg的K=0+和K=2+带的三轴和六轴形变。然而,通过反应计算来解释在$4^+_1$状态下观察到的散射的独特性质一直是一项挑战。目的:利用微观结构和非弹性质子散射和α -散射的反应计算,研究24Mg的K=0+和K=2+能带的结构和跃迁性质。特别地,我们重新研究了E4向$4^+_1$和$4^+_2$态的跃迁。方法:在反对称分子动力学(AMD)框架下,利用宇称和总角动量投影后的变化计算24Mg的结构。采用微观耦合通道(MCC)方法计算非弹性质子和α反应,将墨尔本g矩阵神经网络相互作用折叠成24Mg的AMD密度。结果:由于三轴变形的集体性增强,得到了合理的结构性能,包括K=0+和K=2+能带的能谱和E2、E4跃迁。MCC+AMD计算成功地再现了入射能量为$E_p$=40—100MeV和入射能量为$E_\alpha$=100—400MeV时质子散射的$4^+_1$和$4^+_2$横截面的角分布。结论:这是第一次用微观计算描述$0^+_1\到$ 4^+_1$跃迁的独特性质。在$4^+_1$的非弹性散射中,$0^+_1\到$ 2^+_1\到$4^+_1$的显性两步过程和解构干涉是弱一步过程是必不可少的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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