English

$A=2,3,4$ nuclear contact coefficients in the generalized contact formalism

Nuclear Theory 2026-01-16 v2

Abstract

We present a theoretical calculation for the A=2,3A = 2, 3 and 4 nuclear contact coefficients within the generalized contact formalism, using both local and non-local chiral potentials. The Hyperspherical Harmonics method is employed to calculate the nuclear wave functions, from which we derive two-body momentum distributions and density functions to extract the contact coefficients. We have extracted the contact coefficients from two-body momentum distributions or from density functions, for a given nucleus and potential, and we have found that the generalized contact formalism predictions are verified in the triplet spin channel for local and non-local potentials. On the other hand, some significant tensions exist for the singlet channels, especially when studied with non-local potentials. We have also analyzed the model-independence of the ratios between the contact coefficients, and we have found to be quite satisfied. This study extends previous works based on local interaction models only.

Keywords

Cite

@article{arxiv.2508.02200,
  title  = {$A=2,3,4$ nuclear contact coefficients in the generalized contact formalism},
  author = {E. Proietti and L. E. Marcucci and M. Viviani},
  journal= {arXiv preprint arXiv:2508.02200},
  year   = {2026}
}

Comments

29 pages, 25 figures and 4 tables. New version accepted for publication