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arXiv 2209.03575nucl-th
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氘核结构和形状因子:利用S波的逆势

Deuteron Structure and Form Factors: Using Inverse Potentials for S-waves

Anil Khachi, Lalit Kumar, M. R. Ganesh Kumar, O. S. K. S Sastri

摘要:

本文利用Morse函数构造的反S波势确定了氘核的静态性质、低能散射参数、总散射截面和形状因子。用相函数法测量了不同实验能量下的散射相移。通过选择均方误差作为代价函数,使用机器学习算法和传统的数据分析来优化模型参数。对于状态3S1和1S0,实验和获得的SPS之间的平均绝对误差分别为0.35和0.70。低能散射参数与预期值匹配良好。得到了不同能量下S波SPS对总截面的贡献,与实验值吻合较好。利用四极矩的实验值,得到了氘核的基态波函数。其他静态性能和形状因子确定从所获得的晶体被发现与实验的密切一致。

英文摘要:

In this paper, we determine deuteron's static properties, low energy scattering parameters, total cross-section and form factors from inverse S-wave potentials constructed using Morse function. The scattering phase shifts (SPS) at different lab energies are determined using phase function method. The model parameters are optimised using both machine learning algorithm and traditional data analysis by choosing mean squared error as cost function. The mean absolute error between experimental and obtained SPS for states 3S1 and 1S0 are found to be 0.35 and 0.70 respectively. The low energy scattering parameters are matching well with expected values. The contribution due to S-waves SPS towards total cross-section at various energies have been obtained and are matching well with experimental values. The analytical ground state deuteron wave-function (DWF) is obtained by utilizing the experimental value for Quadrupole moment. Other static properties and form factors determined from obtained DWF are found to be in close agreement with experimental ones.

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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