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arXiv 1711.04550nucl-th
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散射过程中非局域性的一种新处理方法

A new treatment of nonlocality in scattering process

N. J. Upadhyay, A. Bhagwat, B. K. Jain

摘要:

散射势的非定域性导致一个积分微分方程,在这个方程中,非定域性通过对非定域势核的积分进入。由此产生的薛定谔方程通常通过近似非局部核的r,r '依赖来处理。本文提出了一种求解积分微分方程的新方法。该方法利用积分中值定理,将非齐次项转化为齐次项。该方程中的有效局域势与能量无关,但与相对角动量有关。该方法精度高,对任何形式的非定域性都有效。作为说明性的例子,用该方法计算了低能区(10 MeV以下)中子在~(12)C、~(56)Fe和~(100)Mo核上的散射总截面和微分截面,与实验符合良好。

英文摘要:

Nonlocality in the scattering potential leads to an integro-differential equation.In this equation nonlocality enters through an integral over the nonlocal potential kernel. The resulting Schroedinger equation is usually handled by approximating r,r'-dependence of the nonlocal kernel. The present work proposes a novel method to solve the integro-differential equation. The method, using the mean value theorem of integral calculus, converts the nonhomogeneous term to a homogeneous term. The effective local potential in this equation turns out to be energy independent, but has relative angular momentum dependence. This method has high accuracy and is valid for any form of nonlocality. As illustrative examples, the total and differential cross sections for neutron scattering off 12C, 56Fe and 100Mo nuclei are calculated with this method in the low energy region (up to 10 MeV) and are found to be in good accord with the experiments.

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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