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Separable representations of two-body interactions for Faddeev calculations of light nuclei

  • M. M. Nishonov
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Abstract

Separable representations of the Ernst--Shakin--Thaler type are constructed for the charge-dependent Bonn (CD~Bonn) nucleon--nucleon potential (j≤4; nn, np, pp), for the Kanada--Kaneko--Nagata--Nomoto (KKNN) αN interaction, and for the Buck--Friedrich--Wheatley (BFW) αα interaction. They are the input for momentum-space Faddeev calculations of A=3, $6$, $9$, and $12$ systems. The representations are tested against six acceptance criteria: off-shell accuracy at the pair energies sampled by the three-body kernel, phase shifts, effective-range parameters, bound and resonant states, and numerical stability.

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Cite

BibTeXRIS
BibTeX
@misc{nishonov2026separable,
  title = {{Separable representations of two-body interactions for Faddeev calculations of light nuclei}},
  author = {M. M. Nishonov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.08775},
  eprint = {2609.08775},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08775},
}
RIS
TY  - UNPB
TI  - Separable representations of two-body interactions for Faddeev calculations of light nuclei
AU  - M. M. Nishonov
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.08775
UR  - https://arxiv.org/abs/2609.08775
AB  - Separable representations of the Ernst--Shakin--Thaler type are constructed for the charge-dependent Bonn (CD~Bonn) nucleon--nucleon potential (j≤4; nn, np, pp), for the Kanada--Kaneko--Nagata--Nomoto (KKNN) αN interaction, and for the Buck--Friedrich--Wheatley (BFW) αα interaction. They are the input for momentum-space Faddeev calculations of A=3, $6$, $9$, and $12$ systems. The representations are tested against six acceptance criteria: off-shell accuracy at the pair energies sampled by the three-body kernel, phase shifts, effective-range parameters, bound and resonant states, and numerical stability.
ER  -