Description of inclusive $(d,d^{\prime}x)$ reaction with the semiclassical distorted wave model

Hibiki Nakada; Kazuki Yoshida; Kazuyuki Ogata

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arXiv · 2303.02985

Description of inclusive $(d,d^{\prime}x)$ reaction with the semiclassical distorted wave model

Hibiki Nakada·Kazuki Yoshida·Kazuyuki Ogata

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Abstract

The description of deuteron-induced inclusive reactions has been an important subject in direct nuclear reaction studies and nuclear data science. For proton-induced inclusive processes, the semiclassical distorted wave model (SCDW) is one of the most successful models based on quantum mechanics. We improve SCDW for deuteron-induced inclusive processes and clarify the importance of the proper treatment of the kinematics of the deuteron inside a nucleus. The double differential cross section (DDX) of the inclusive deuteron-emission process $(d,d^{\prime}x)$ is described by one-step SCDW. The changes in the kinematics due to the distortion effect, the refraction effect, is taken into account by the local semiclassical approximation (LSCA). The calculated DDXs of $(d,d^{\prime}x)$ reasonably reproduce experimental data in the small energy-transfer region and at forward and middle angles with some exceptions. The angular distributions of $(d,d^{\prime}x)$ are improved by including the refraction effect. The proper treatment of the changes in the kinematics of the deuteron inside a nucleus is necessary in describing the ($d$,$d'x$) reaction. The effect of the changes on the DDX of $(d,d^{\prime}x)$ is significant compared to on the proton-induced inclusive process $(p,p^{\prime}x)$ because of the stronger distortion effect on the deuteron.

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Hibiki Nakada, Kazuki Yoshida, Kazuyuki Ogata. 2023-03-06. Description of inclusive $(d,d^{\prime}x)$ reaction with the semiclassical distorted wave model. https://arxiv.org/abs/2303.02985

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