$A=2,3$ nuclear contact coefficients in the Generalized Contact Formalism

TL;DR

This paper extracts and compares nuclear contact coefficients for light nuclei using the Generalized Contact Formalism, demonstrating their universality across different interaction models and extending previous local potential studies.

Contribution

It introduces a rigorous ab-initio method to extract contact coefficients for A=2,3,4 nuclei using both local and non-local chiral potentials, confirming their universality.

Findings

Contact coefficient ratios are independent of the nuclear potential used.

Universality of contact coefficients extends to non-local potentials.

Method applicable to various nuclear systems and interaction models.

Abstract

This work focuses on extracting nuclear contact coefficients for \( A = 2 \), \( A = 3 \) and \( A = 4 \) nuclei within the Generalized Contact Formalism framework. We investigate the universality of these coefficients across different nuclear systems and interaction models, using both local (in \( r \)-space) and non-local (in \( k \)-space) chiral potentials. The Hyperspherical Harmonics method is employed to calculate the nuclear wave functions from which we obtain the two-body momentum distributions and the two-body density functions, which are essential for extracting the contact coefficients. The adopted method is a rigorous ab-initio approach that can be applied to virtually any potential. We present ratios of contact coefficients across various spin and isospin channels, highlighting their independence from the used nuclear potential. This study extends previous work where only local interaction models were employed. Furthermore, we verify whether the contact coefficient ratio between different nuclei remains consistent even when non-local potentials are considered. Future work will extend this analysis to heavier nuclei, such as \( A = 4 \) and \( A = 6 \) nuclei.