English

Complete spin structure of the pion-nucleon-loop delta self-energy

High Energy Physics - Phenomenology 2022-02-23 v2 Nuclear Theory

Abstract

The complete spin structure of the pion-nucleon-loop contribution to the delta self-energy and dressed propagator is calculated in vacuum, with the most general form of the pion-nucleon-delta vertex. The imaginary parts of the ten Lorentz-scalar coefficients are calculated in closed form, while the real parts are obtained numerically from a dispersion relation. The effect of the pion-nucleon-delta coupling constants and form-factor on the pion-nucleon phase-shift in the spin-3/2 isospin-3/2 channel is studied.

Keywords

Cite

@article{arxiv.hep-ph/9703339,
  title  = {Complete spin structure of the pion-nucleon-loop delta self-energy},
  author = {C. L. Korpa},
  journal= {arXiv preprint arXiv:hep-ph/9703339},
  year   = {2022}
}

Comments

8 pages, LaTex (uses Revtex and epsf), 2 figures (included), errors in some expressions (including typos) corrected, numerical results affected very little, conclusions unchanged