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Scattering phase shift for relativistic separable potential with Laguerre-type form factors

Mathematical Physics 2022-06-20 v1 math.MP

Abstract

As an extension of earlier work [J. Phys. A: Math. Gen. 34 (2001) 11273] we obtain analytic expressions for the scattering phase shift of M-term relativistic separable potential with Laguerre-type form factors and for M = 1, 2, and 3. We take the Dirac Hamiltonian as the reference Hamiltonian. Just like in the cited article, the tools of the relativistic J-matrix method of scattering will be used. However, the results obtained here are for a general angular momentum, which is in contrast to the previous work where only S-wave scattering could be calculated. An exact numerical evaluation for higher order potentials (M >= 4) can be obtained in a simple and straightforward way.

Keywords

Cite

@article{arxiv.math-ph/0202028,
  title  = {Scattering phase shift for relativistic separable potential with Laguerre-type form factors},
  author = {A. D. Alhaidari},
  journal= {arXiv preprint arXiv:math-ph/0202028},
  year   = {2022}
}

Comments

7 pages, one table

R2 v1 2026-07-22T16:21:14.586Z