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arXiv 2209.00951nucl-th
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用参考势方法分析轻核子-原子核弹性散射的相移

Phase Shift Analysis of Light Nucleon-Nucleus Elastic Scattering using Reference Potential Approach

Lalit Kumar, Shikha Awasthi, Anil Khachi, O. S. K. S Sastri

摘要:

中子和质子与氘或稳定α粒子的散射可以用两粒子系统来模拟。本文以Morse函数为参考势,直接从轻核子-核系统的散射相移(SPS)数据计算构造了反势。在优化过程中,在每次迭代中使用五阶Runge-Kutta(RK-5)方法数值求解各种I通道的相位方程,以获得最小化平均绝对百分比误差(MAPE)的Morse函数的最佳模型参数。在MAPE分别为1.95%和2.05%的条件下,得到了中子-氘核和质子-氘核系统的S波反转势。对应于中子-α(n-α)和质子-α(p-α)系统的各种P和D通道的那些已被确定为分别小于1.53%和2.17%。由p1/2和p3/2的部分截面图得到的共振能分别为4.1(4)和0.93(0.89)(n-α)和5.21(5)和1.96(1.96)(p-α)。虽然已发现n-alpha的总横截面与文献中可用的值相匹配,但p-alpha的总横截面被认为遵循正确的趋势。

英文摘要:

The neutron and proton scattering with either deuteron or stable alpha particle can be modeled as a two particle system. In this paper, using Morse function as reference potential, inverse potentials have been computationally constructed directly from scattering phase shifts (SPS) data for light nucleon-nucleus systems. The phase equation for various l-channels has been numerically solved using 5th order Runge-Kutta (RK-5) method in each iteration within the optimization procedure to obtain best model parameters of Morse function that minimize mean absolute percentage error (MAPE). The inverse potentials for S-wave of neutron-deuteron and proton-deuteron systems have been obtained with MAPE of 1.95 and 2.05% respectively. Those corresponding to various P and D channels of neutron-alpha(n-alpha) and proton-alpha(p-alpha) systems, have been determined to less than 1.53 and 2.17% respectively. The obtained(experimental) resonance energies for p1/2 and p3/2, from their partial cross-sections plots, respectively are 4.1(4) and 0.93(0.89) for n-alpha and 5.21(5) and 1.96(1.96) for p-alpha system. While total cross-section for n-alpha has been found to be matching with values available in literature, that of p-alpha is seen to be following the correct trend.

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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