TY - JOUR

T1 - New empirical formula for nucleon-induced nonelastic cross sections based on two physical effects

AU - Nakano, Masahiro

AU - Yamaguchi, Yuji

AU - Uozumi, Yusuke

N1 - Publisher Copyright:
© 2021 American Physical Society.

PY - 2021/4

Y1 - 2021/4

N2 - A simple universal parametrization of nucleon-induced nonelastic cross sections is presented for a wide range of targets that is valid for the entire energy range from zero to a few gigaelectronvolts. We review several early studies by Letaw et al., Pearlstein, Shen, Niita et al., and Tripathi et al., and our proposed approach differs completely from the formulas therein. The present formula is constructed based on recently discovered physical effects involving Coulomb repulsion and the discrete-level constraint and is based on the assumption that cross sections are continuous in both incident energies and targets. Our formula is given by a set of smooth functions of the mass number, which differs from the best formula to date by Tripathi et al. To compare our formula precisely with that by Tripathi et al., we proposed the relative error index, which indicates the relative error between experimental data and predicted values. For the C12, Al27, Fe56, Agnat, Cdnat, Snnat, Au197, and Pb208 targets used in this paper, the corresponding relative error indices show clearly that our formula is superior to that by Tripathi et al.

AB - A simple universal parametrization of nucleon-induced nonelastic cross sections is presented for a wide range of targets that is valid for the entire energy range from zero to a few gigaelectronvolts. We review several early studies by Letaw et al., Pearlstein, Shen, Niita et al., and Tripathi et al., and our proposed approach differs completely from the formulas therein. The present formula is constructed based on recently discovered physical effects involving Coulomb repulsion and the discrete-level constraint and is based on the assumption that cross sections are continuous in both incident energies and targets. Our formula is given by a set of smooth functions of the mass number, which differs from the best formula to date by Tripathi et al. To compare our formula precisely with that by Tripathi et al., we proposed the relative error index, which indicates the relative error between experimental data and predicted values. For the C12, Al27, Fe56, Agnat, Cdnat, Snnat, Au197, and Pb208 targets used in this paper, the corresponding relative error indices show clearly that our formula is superior to that by Tripathi et al.

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U2 - 10.1103/PhysRevC.103.044608

DO - 10.1103/PhysRevC.103.044608

M3 - Article

AN - SCOPUS:85104785117

VL - 103

JO - Physical Review C

JF - Physical Review C

SN - 2469-9985

IS - 4

M1 - 044608

ER -