Construction of density-dependent α-nucleon interaction to describe α-nucleus scattering

¹ College of Education, Yokohama National University, Yokohama 240-8501, Japan
² National Institute of Technology, Asahikawa College, Asahikawa 071-8142, Japan
³ Graduate School of Science and Engineering, Saitama University, Saitama 338-8570, Japan
⁴ Department of Physics, Osaka Metropolitan University, Osaka 558-8585, Japan
⁵ Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka Metropolitan University, Osaka 558-8585, Japan
⁶ RIKEN Nishina Center, Wako 351-0198, Japan
⁷ Department of Physics, Hokkaido University, Sapporo 060-0810, Japan

^* e-mail: furumoto-takenori-py@ynu.ac.jp

Published online: 14 March 2024

Abstract

We provide a global density-dependent α-nucleon (DD-αN) interaction to construct the α-nucleus optical potential in a wide range of incident energies. The α-nucleus potential based on the folding model with the present DD-αN interaction reproduces the experimental data up to backward angles using the point-nucleon density obtained by the mean-field model. The present DD-αN interaction is based on the phenomenological optical potential to reproduce the p + ⁴He elastic scattering at the incident energies at 12.04–1000 MeV. Namely, the α-nucleon system is considered an elementary process. The density dependence (medium effect) of the DD-αN interaction is phenomenologically added to reproduce the α elastic scatterings by the ¹⁶O, ⁴⁰Ca, ⁵⁸Ni, ⁹⁰Zr and ²⁰⁸Pb targets at E/A = 10–342.5 MeV. The total reaction cross sections are also compared with the experimental data.