$A=2,3$ nuclear contact coefficients in the Generalized Contact Formalism
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| Format: | Preprint |
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2025
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| author | Proietti, Eleonora Marcucci, Laura Elisa Viviani, Michele |
| author_facet | Proietti, Eleonora Marcucci, Laura Elisa Viviani, Michele |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $A=2,3$ nuclear contact coefficients in the Generalized Contact Formalism Proietti, Eleonora Marcucci, Laura Elisa Viviani, Michele Nuclear Theory 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. |
| title | $A=2,3$ nuclear contact coefficients in the Generalized Contact Formalism |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2501.18353 |