The ability of the Gogny forces of the D1 family to describe the nucleon-nucleus scattering is studied. To this end, we use an optical model (OM) potential built up using a semi-microscopic nuclear matter (NM) approach. The real and imaginary parts of the OM are provided by the first and second-order terms, respectively, of the Taylor expansion of the mass operator calculated within the Brueckner–Hartree–Fock (BHF) method using the reaction G-matrix built up with the effective Gogny force instead of a microscopic interaction. The optical potential in finite nuclei is obtained through the local density approximation (LDA) using the neutron and proton densities provided by a quasi-local Hartree–Fock (HF) calculation with the same Gogny force for the sake of consistency. A reasonable good agreement is found between the theoretical differential cross-sections and the analyzing powers (AP) of the elastic neutron and proton scattering along the periodic table from Ca to Pb calculated with the Gogny forces and the corresponding values predicted by the global phenomenological potential of Koning and Delaroche. To investigate the limits of the approximations used in this work, comparisons with the results of nucleon-nucleus elastic scattering in ⁴⁰Ca and ⁴⁸Ca obtained using the nuclear structure model (NSM) are also performed.

研究了D1家族的Gogny力描述核子-核散射的能力。为此，我们使用通过半微观核物质（NM）方法建立的光学模型（OM）电位。OM的实部和虚部分别由使用算式G在Brueckner-Hartree-Fock（BHF）方法中计算的质量算子的泰勒展开式的一阶和二阶项提供。-矩阵通过有效的Gogny力建立，而不是微观相互作用。有限核中的光势是通过局部密度近似（LDA）使用中性和质子密度通过局部密度近似（LDA）获得的，其中子和质子密度由准局部Hartree-Fock（HF）计算和相同的Gogny力来保持一致。在理论微分截面与弹性中子和质子沿Ca到Pb的周期表中的质子散射的分析能力（AP）之间找到了合理的良好一致性，其中Gogny力计算出了Ca到Pb的分布，并且相应的值由整体现象学势预测了Koning和Delaroche。为了研究这项工作中使用的近似值的极限，将其与⁴⁰ Ca和⁴⁸使用核结构模型（NSM）也进行钙获得。