Coarse graining the Bethe-Goldstone equation: nucleon-nucleon high momentum components
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866917547866062848 |
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| author | Simo, I. Ruiz Perez, R. Navarro Amaro, J. E. Arriola, E. Ruiz |
| author_facet | Simo, I. Ruiz Perez, R. Navarro Amaro, J. E. Arriola, E. Ruiz |
| contents | The delta-shell representation of the nuclear force allows a simplified treatment of nuclear correlations. We show how this applies to the Bethe-Goldstone equation as an integral equation in coordinate space with a few mesh points, which is solved by inversion of a 5-dimensional square matrix in the single channel cases and a $10\times10$ matrix for the tensor-coupled channels. This allows us to readily obtain the high momentum distribution, for all partial waves, of a back-to-back correlated nucleon pair in nuclear matter. We find that the probability of finding a high-momentum correlated neutron-proton pair is about 18 times that of a proton-proton one, as a result of the strong tensor force, thus confirming in an independent way previous results and measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1708_00878 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Coarse graining the Bethe-Goldstone equation: nucleon-nucleon high momentum components Simo, I. Ruiz Perez, R. Navarro Amaro, J. E. Arriola, E. Ruiz Nuclear Theory Nuclear Experiment The delta-shell representation of the nuclear force allows a simplified treatment of nuclear correlations. We show how this applies to the Bethe-Goldstone equation as an integral equation in coordinate space with a few mesh points, which is solved by inversion of a 5-dimensional square matrix in the single channel cases and a $10\times10$ matrix for the tensor-coupled channels. This allows us to readily obtain the high momentum distribution, for all partial waves, of a back-to-back correlated nucleon pair in nuclear matter. We find that the probability of finding a high-momentum correlated neutron-proton pair is about 18 times that of a proton-proton one, as a result of the strong tensor force, thus confirming in an independent way previous results and measurements. |
| title | Coarse graining the Bethe-Goldstone equation: nucleon-nucleon high momentum components |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/1708.00878 |