English

Effective range function below threshold

Nuclear Theory 2008-11-26 v1

Abstract

We demonstrate that the kernel of the Lippmann-Schwinger equation, associated with interactions consisting of a sum of the Coulomb plus a short range nuclear potential, below threshold becomes degenerate. Taking advantage of this fact, we present a simple method of calculating the effective range function for negative energies. This may be useful in practice since the effective range expansion extrapolated to threshold allows to extract low-energy scattering parameters: the Coulomb-modified scattering length and the effective range.

Keywords

Cite

@article{arxiv.nucl-th/0006058,
  title  = {Effective range function below threshold},
  author = {A. Deloff},
  journal= {arXiv preprint arXiv:nucl-th/0006058},
  year   = {2008}
}

Comments

14 pages, 1 figure