Abstract We introduce the package SIDES (Schrodinger Integro-Differential Equation Solver) that solves the integro-differential Schrodinger equation for elastic scattering of a nonlocal optical potential in coordinate space. The code is capable of treating the Coulomb interaction without restrictions. The method is based on previous developments by Jacques Raynal in the DWBA07 code. Elastic scattering observables such as differential and integral cross sections, as well as analyzing power and spin rotation functions for both neutron and proton projectiles are evaluated, with no restriction on the type of nonlocality of the potential nor on the beam energy. The corresponding distorted wavefunctions are calculated as well. The SIDES package includes a Perey–Buck potential generator with two parametrizations. It includes as well local potential parametrizations and allows for mixing local and nonlocal contributions. Benchmarks are performed and discussed. Program summary Program Title: SIDES Program Files doi: http://dx.doi.org/10.17632/cmpjgyrngr.1 Licensing provisions: GNU General Public License, Version 2 Programming language: FORTRAN-90 Nature of problem: The description of nucleon elastic scattering off a target nucleus involves solving the Schrodinger’s wave equation for positive incident energy. The determination of scattering observables calls for accurate treatments of the continuum. The effective coupling between the projectile and the target is accounted for by an optical potential, an operator which is by nature complex, energy-dependent and nonlocal. The coupling becomes long-range in the case of charged projectiles. In a general scenario under nonlocal potentials, Schrodinger’s equation becomes an integro-differential equation. Solution method: SIDES solves the Schrodinger integro-differential equation numerically by matrix inversion using Gibbs, Numerov or a modified Numerov method with a uniform radial mesh in a box. The solution is refined by an iterative procedure until a specified precision is achieved. To obtain elastic scattering observables, the associated phase-shifts are calculated via matching of the numerical solution with its analytic asymptotic behavior.

中文翻译：

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边：非局部势的核子-核弹性散射代码

摘要 我们介绍了包 SIDES（薛定谔积分微分方程求解器），它解决了坐标空间中非局部光学势的弹性散射的积分微分薛定谔方程。该代码能够不受限制地处理库仑相互作用。该方法基于 Jacques Raynal 在 DWBA07 代码中的先前开发。弹性散射观测值，例如微分和积分截面，以及分析中子和质子射弹的功率和自旋旋转函数​​，对势的非定域性类型和束能量没有限制。相应的失真波函数也被计算出来。SIDES 包包括一个具有两个参数化的 Perey-Buck 电位发生器。它还包括本地潜在参数化，并允许混合本地和非本地贡献。执行和讨论基准。程序摘要 程序名称：SIDES 程序文件 doi：http://dx.doi.org/10.17632/cmpjgyrngr.1 许可条款：GNU 通用公共许可证，版本 2 编程语言：FORTRAN-90 问题性质：核子弹性的描述目标核的散射涉及求解正入射能量的薛定谔波动方程。散射观测值的确定需要对连续体进行准确的处理。射弹和目标之间的有效耦合由光学势来解释，光学势是一个本质上复杂、依赖能量且非局部的算子。在带电弹丸的情况下，耦合变得远距离。在非局部电位下的一般情况下，薛定谔方程变为积分微分方程。求解方法： SIDES 通过矩阵求逆使用 Gibbs、Numerov 或改进的 Numerov 方法对薛定谔积分微分方程进行数值求解。解决方案通过迭代过程进行细化，直到达到指定的精度。为了获得弹性散射可观测值，相关的相移是通过数值解与其解析渐近行为的匹配来计算的。解决方案通过迭代过程进行细化，直到达到指定的精度。为了获得弹性散射可观测值，相关的相移是通过数值解与其解析渐近行为的匹配来计算的。解决方案通过迭代过程进行细化，直到达到指定的精度。为了获得弹性散射可观测值，相关的相移是通过数值解与其解析渐近行为的匹配来计算的。