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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.09890 |
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| _version_ | 1866917334081339392 |
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| author | Foy, J. Elster, Ch. Maris, P. Weppner, S. P. Bogner, S. K. |
| author_facet | Foy, J. Elster, Ch. Maris, P. Weppner, S. P. Bogner, S. K. |
| contents | Motivated by recent findings on the separability of optical potentials that are derived from folding off-shell densities with off-shell nucleon-nucleon amplitudes, we study the off-shell character of one-body density matrices created within the No-Core Shell Model (NCSM). Concentrating on nuclei with a 0$^+$ ground state from $^4$He through $^{48}$Ca, we investigate the off-shell character of their one-body density matrices in momentum space when using the momentum transfer and the average momentum as variables. A singular value decomposition of the one-body density matrices reveals that they can be characterized by only very few terms, depending on the mass number of the nucleus. These findings are independent of the nucleon-nucleon interactions employed, as well as from computational specifics as grid spacing and size of the model space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Separable character of ab initio No-Core Shell Model one-body densities Foy, J. Elster, Ch. Maris, P. Weppner, S. P. Bogner, S. K. Nuclear Theory Motivated by recent findings on the separability of optical potentials that are derived from folding off-shell densities with off-shell nucleon-nucleon amplitudes, we study the off-shell character of one-body density matrices created within the No-Core Shell Model (NCSM). Concentrating on nuclei with a 0$^+$ ground state from $^4$He through $^{48}$Ca, we investigate the off-shell character of their one-body density matrices in momentum space when using the momentum transfer and the average momentum as variables. A singular value decomposition of the one-body density matrices reveals that they can be characterized by only very few terms, depending on the mass number of the nucleus. These findings are independent of the nucleon-nucleon interactions employed, as well as from computational specifics as grid spacing and size of the model space. |
| title | Separable character of ab initio No-Core Shell Model one-body densities |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2508.09890 |