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<p>We explore the energy dependence of the nucleon–nucleon potential for constructing a nucleus–nucleus interaction to better describe the volume integral of the potential in the low-energy region. We review the determination of a pseudo-potential expressed as a delta function with a linear energy dependence in the well-known M3Y potential. We then propose a fractional form as a non-linear representation of this energy dependence, considering the low-energy region of the volume integral per nucleon with various target nuclei. The results are compared to the widely used M3Y potential and experimental data. Finally, we present the potentials and the elastic cross section with both linear and non-linear energy-dependent potentials in a <i>p</i>+<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(^{208}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>208</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Pb system at 16 MeV, and compare the calculated cross sections to experimental data.</p>

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Re-visitation of energy dependence of folding potential in empirical approach

  • 期刊论文

  • 发表日期：

    2025年9月22日

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  • Ki-Seok Choi,
  • K. S. Kim,
  • W. Y. So,
  • Chang Ho Hyun

摘要

We explore the energy dependence of the nucleon–nucleon potential for constructing a nucleus–nucleus interaction to better describe the volume integral of the potential in the low-energy region. We review the determination of a pseudo-potential expressed as a delta function with a linear energy dependence in the well-known M3Y potential. We then propose a fractional form as a non-linear representation of this energy dependence, considering the low-energy region of the volume integral per nucleon with various target nuclei. The results are compared to the widely used M3Y potential and experimental data. Finally, we present the potentials and the elastic cross section with both linear and non-linear energy-dependent potentials in a p+ \(^{208}\) 208 Pb system at 16 MeV, and compare the calculated cross sections to experimental data.