论文标题
使用参考电位方法对光核核弹性散射的相移分析
Phase Shift Analysis of Light Nucleon-Nucleus Elastic Scattering using Reference Potential Approach
论文作者
论文摘要
具有杜特隆或稳定α粒子的中子和质子散射可以建模为两个粒子系统。在本文中，将莫尔斯函数用作参考电位，逆势已直接从光核核系统的散射相移（SPS）数据中构建。在优化过程中的每种迭代中，使用第5阶runge-kutta（RK-5）方法对各种L通道的相位方程进行了数值求解，以获得最大程度地减少平均绝对百分比误差（MAPE）的MORSE函数的最佳模型参数。 MAPE分别获得了1.95和2.05％的MAPE获得中子 - 脱氧于中子和质子 - 脱氧系统S波的逆势。那些对应于中子α（N-Alpha）和质子 - α（P-alpha）系统的各种P和D通道的人，分别确定为小于1.53和2.17％。从部分横截面图获得的P1/2和P3/2的（实验）共振能分别为N-Alpha的4.1（4）和0.93（0.89），P-Alpha系统获得的（5.21（5）和1.96（1.96）。虽然已经发现N-Alpha的总横截面与文献中可用的值匹配，但p-alpha的值遵循正确的趋势。
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.
