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arXiv 1807.01030nucl-th
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质子与稳定核和非稳定核弹性散射的自旋观测量全集的计算

Calculation of a complete set of spin observables for proton elastic scattering from stable and unstable nuclei

W. A. Yahya, B. I. S. van der Ventel, R. A. Bark, B. C. Kimene Kaya

摘要:

本文用相对论方法研究了中能不稳定核的质子弹性散射。我们采用原始的相对论脉冲近似(IA 1)和广义脉冲近似(IA 2)形式主义计算相对论光学势,目标密度来自相对论平均场(RMF)理论使用NL 3和FSUGold参数集。光学势计算使用IA 1和IA 2的形式主义之间的比较,和不同的RMF拉格朗日为稳定和不稳定的目标。比较需要研究使用IA 1与IA 2光学势,不同的RMF参数集,弹性散射观测值的不稳定目标在中等能量的效果。我们还研究了全折叠与弹性散射观测的光学势的因式分解形式的效果。与稳定核的情况下,我们发现,使用全折叠光学势提高了散射观测值(特别是自旋观测值)在低的中间能量(例如200 MeV)。在入射能量为500 MeV的射弹上没有发现明显的差异。为了验证定域光学势的有效性,我们通过求解动量空间的狄拉克方程计算了非定域光学势的散射观测量。将Dirac方程转化为两个耦合的Lippmann-Schwinger方程,然后数值求解,得到弹性散射观测值。的结果进行了讨论,并比较计算涉及当地坐标空间的光学潜力。

英文摘要:

A microscopic study of proton elastic scattering from unstable nuclei at intermediate energies using a relativistic formalism is presented. We have employed both the original relativistic impulse approximation (IA1) and the generalised impulse approximation (IA2) formalisms to calculate the relativistic optical potentials, with target densities derived from relativistic mean field (RMF) theory using the NL3 and FSUGold parameter sets. Comparisons between the optical potentials computed using both IA1 and IA2 formalisms, and the different RMF Lagrangians are presented for both stable and unstable targets. The comparisons are required to study the effect of using IA1 versus IA2 optical potentials, with different RMF parameter sets, on elastic scattering observables for unstable targets at intermediate energies. We also study the effect of full-folding versus the factorized form of the optical potentials on elastic scattering observables. As with the case for stable nuclei, we found that the use of the full-folding optical potential improves the scattering observables (especially spin observables) at low intermediate energy (e.g. 200MeV). No discernible difference is found at a projectile incident energy of 500 MeV. To check the validity of using localized optical potential, we calculate the scattering observables using non-local potentials by solving the momentum space Dirac equation. The Dirac equation is transformed to two coupled Lippmann-Schwinger equations, which are then numerically solved to obtain elastic scattering observables. The results are discussed and compared to calculations involving local coordinate-space optical potentials.

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