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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.09911 |
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| _version_ | 1866915372966346752 |
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| author | Kamada, Hiroyuki |
| author_facet | Kamada, Hiroyuki |
| contents | Realistic nucleon-nucleon (NN) potentials are generally not in separable form, but there is a way to convert them into separable potentials, called the generalized separable expansion (GSE). When the separable potential is substituted into a three-body Faddeev equation, which generally has two Jacobi momenta, the integral equation is conveniently reduced to a one-variable integral equation. The two-body scattering t-matrix of the conventional GSE does not have an exact singularity at the energy threshold of the two-body bound state. The newly introduced GSE improves this by treating the singularity analytically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09911 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improvement to Generalized Separable Expansion Method in Lippmann-Schwinger Equation Kamada, Hiroyuki Nuclear Theory Realistic nucleon-nucleon (NN) potentials are generally not in separable form, but there is a way to convert them into separable potentials, called the generalized separable expansion (GSE). When the separable potential is substituted into a three-body Faddeev equation, which generally has two Jacobi momenta, the integral equation is conveniently reduced to a one-variable integral equation. The two-body scattering t-matrix of the conventional GSE does not have an exact singularity at the energy threshold of the two-body bound state. The newly introduced GSE improves this by treating the singularity analytically. |
| title | Improvement to Generalized Separable Expansion Method in Lippmann-Schwinger Equation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2502.09911 |