High-resolution momentum distributions from low-resolution wave functions
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arXiv
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| Format: | Preprint |
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2024
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| author | Tropiano, A. J. Bogner, S. K. Furnstahl, R. J. Hisham, M. A. Lovato, A. Wiringa, R. B. |
| author_facet | Tropiano, A. J. Bogner, S. K. Furnstahl, R. J. Hisham, M. A. Lovato, A. Wiringa, R. B. |
| contents | Nucleon momentum distributions calculated with a common one-body operator vary with the resolution scale (and scheme) of the Hamiltonian used. For high-resolution potentials such as Argonne $v_{18}$ (AV18) there is a high-momentum tail, reflecting short-range correlations in the nuclear wave function, which is reduced or absent for softer, lower-resolution interactions. We explore if the similarity renormalization group (SRG) can be used to quantitatively reproduce the high-resolution distributions from variational Monte Carlo at all momenta using SRG-evolved operators and empirically fit single-particle orbitals rather than a full RG evolution of many-body wave functions. The goal of this approach is to enable calculations of high-resolution distributions for a wider range of nuclei as well as for other interactions, and provides connections to phenomenological analyses of experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-resolution momentum distributions from low-resolution wave functions Tropiano, A. J. Bogner, S. K. Furnstahl, R. J. Hisham, M. A. Lovato, A. Wiringa, R. B. Nuclear Theory Nucleon momentum distributions calculated with a common one-body operator vary with the resolution scale (and scheme) of the Hamiltonian used. For high-resolution potentials such as Argonne $v_{18}$ (AV18) there is a high-momentum tail, reflecting short-range correlations in the nuclear wave function, which is reduced or absent for softer, lower-resolution interactions. We explore if the similarity renormalization group (SRG) can be used to quantitatively reproduce the high-resolution distributions from variational Monte Carlo at all momenta using SRG-evolved operators and empirically fit single-particle orbitals rather than a full RG evolution of many-body wave functions. The goal of this approach is to enable calculations of high-resolution distributions for a wider range of nuclei as well as for other interactions, and provides connections to phenomenological analyses of experiments. |
| title | High-resolution momentum distributions from low-resolution wave functions |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2402.00634 |