$A=2,3,4$ nuclear contact coefficients in the generalized contact formalism
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917205396946944 |
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| author | Proietti, E. Marcucci, L. E. Viviani, M. |
| author_facet | Proietti, E. Marcucci, L. E. Viviani, M. |
| contents | We present a theoretical calculation for the $A = 2, 3$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_02200 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $A=2,3,4$ nuclear contact coefficients in the generalized contact formalism Proietti, E. Marcucci, L. E. Viviani, M. Nuclear Theory We present a theoretical calculation for the $A = 2, 3$ 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. |
| title | $A=2,3,4$ nuclear contact coefficients in the generalized contact formalism |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2508.02200 |