English

The Hidden Variables: Harnessing Half-Shell Potentials for Enhanced Precision in Nuclear Reaction Calculations

Nuclear Theory 2024-07-24 v1

Abstract

We explore the impact of half-shell components on nuclear reaction calculations, focusing on nonelastic breakup cross sections within the Ichimura-Austern-Vincent (IAV) model. By advocating for the use of a consistent Single Folding Model (SFM) for all optical potentials in IAV calculations, we aim to reduce the uncertainties associated with half-shell components and enhance agreement with experimental data. We present results from deuteron-induced reactions on 60^{60}Ni and 208^{208}Pb, which serve as surrogate targets for neutron-induced reactions on short-lived nuclei. The application of consistent optical potentials derived from the SFM shows improved alignment with experimental data compared to traditional global phenomenological potentials. Furthermore, we investigate the 59^{59}Co(6^6Li,αX\alpha X) reaction, which reveals that the half-shell TT-matrix plays a pivotal role in accurately modeling nuclear reactions. Our findings suggest that a unified approach to optical potentials, accounting for half-shell effects, is critical for a precise understanding of complex nuclear reactions. This work highlights the significance of the internal dynamics of the wave function, particularly in lighter targets, and underscores the importance of the half-shell TT-matrix as a previously underappreciated variable in reaction calculations.

Keywords

Cite

@article{arxiv.2407.16452,
  title  = {The Hidden Variables: Harnessing Half-Shell Potentials for Enhanced Precision in Nuclear Reaction Calculations},
  author = {Hao Liu and Jin Lei and Zhongzhou Ren},
  journal= {arXiv preprint arXiv:2407.16452},
  year   = {2024}
}
R2 v1 2026-06-28T17:50:50.121Z