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PreprintarXiv licencearXiv

Parametrization of unitary matrices, parametrizing the symmetric S matrix and the NN S matrix above the inelastic threshold

Abstract

None of the S-matrix representations used in analyses of nucleon-nucleon (NN) scattering above the inelastic threshold is implicitly unitary, general, and connected to low-energy (Stapp) parameters, and hence correspondingly related to the physical properties of the scattering. Such a representation is also needed to solve the corresponding inverse scattering problem. I present an S-matrix representation which satisfies these requirements. As a by-product, I derive a parametrization of an n-dimensional unitary matrix.

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BibTeX
@misc{khokhlov2026parametrization,
  title = {{Parametrization of unitary matrices, parametrizing the symmetric $S$ matrix and the $NN$ $S$ matrix above the inelastic threshold}},
  author = {N. A. Khokhlov},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03969},
  eprint = {2611.03969},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03969},
}
RIS
TY  - UNPB
TI  - Parametrization of unitary matrices, parametrizing the symmetric S matrix and the NN S matrix above the inelastic threshold
AU  - N. A. Khokhlov
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03969
UR  - https://arxiv.org/abs/2611.03969
AB  - None of the S-matrix representations used in analyses of nucleon-nucleon (NN) scattering above the inelastic threshold is implicitly unitary, general, and connected to low-energy (Stapp) parameters, and hence correspondingly related to the physical properties of the scattering. Such a representation is also needed to solve the corresponding inverse scattering problem. I present an S-matrix representation which satisfies these requirements. As a by-product, I derive a parametrization of an n-dimensional unitary matrix.
ER  -