arXiv 2603.262652026-03-27nucl-thnucl-ex

不弹性核-核散射的微观观点

Inelastic nucleon-nucleus scattering from a microscopic point of view

University of Surrey（萨里大学）；Johannes Gutenberg-Universität Mainz（美因茨约翰内斯古腾堡大学）；Università degli Studi di Bologna（博洛尼亚大学）；INFN, Sezione di Bologna（意大利国家核物理研究所博洛尼亚分部）；INFN, Sezione di Pavia（意大利国家核物理研究所帕维亚分部）；University of Victoria（维多利亚大学）；TRIUMF（特利昂夫实验室）

Matteo Vorabbi, Michael Gennari, Paolo Finelli, Carlotta Giusti, Petr Navrátil

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AI总结：

本文提出一种微观多重散射方法，用于研究核-核不弹性散射，通过折叠非局域的初态密度和过渡密度，准确描述实验的散射截面。

摘要：

我们对核-核不弹性过程应用了完全一致的微观多重散射方法。我们的研究针对不弹性散射事件的复杂性，提供了一个基于反应理论的全面理论模型。该方法基于畸变波近似，需要三个势能，分别给出初始和最终的畸变波函数以及过渡势能。所有这些势能都是通过将非局域的初态核密度（来自无芯壳模型）与由楚尔相互作用计算的核-核t矩阵折叠得到的。三个势能的唯一差异在于核密度，其中我们使用靶核的基态和激发态密度以及过渡密度。通过扩展传统应用于弹性散射的方法，我们纳入了不弹性跃迁的影响，从而实现了对实验散射截面的准确描述。我们的数值结果的预测能力通过不弹性质子散射对12C核的实验数据进行了验证，特别是在跃迁到4.44 MeV的2+态时，质子能量范围为65-300 MeV。实验截面随散射角的变化良好描述，证明了该不含自由可调参数的模型的可靠性和稳健性。

英文摘要：

We apply to the nucleon-nucleus inelastic process a fully coherent microscopic multiple scattering approach. Our study addresses the complexities inherent in characterizing inelastic scattering events, offering a comprehensive theoretical model grounded in the reaction theory. The approach is based on the distorted-wave approximation and requires the knowledge of three potentials, which give the initial and final distorted wave functions and the transition potential. All of them are derived just like the microscopic optical potential for elastic nucleon-nucleus scattering we derived in previous papers of ours within the framework of the Watson multiple scattering theory and adopting the impulse approximation. The potentials are obtained by folding nonlocal ab initio nuclear densities from the No-Core Shell Model (NCSM) with a nucleon-nucleon $t$ matrix computed with a chiral interaction consistent with the one used in the calculation of the density. The only difference in the formal expressions of the three potentials resides in the nuclear density, where we use the ground and excited state densities of the target and the transition density. By extending methods traditionally applied to elastic scattering, we incorporate the effects of inelastic transitions enabling an accurate description of the experimental differential cross section. The predictive power of our numerical results is benchmarked against empirical data of inelastic proton scattering off $^{12}$C, for the transition to the $2^+$ state at 4.44 MeV, in a range of projectile energies of 65-300 MeV. The generally good description of the experimental cross sections as functions of the scattering angle gives clear evidence of the reliability and robustness of a model that does not contain any free adjustable parameters.

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