Pion couplings with low-lying nucleon resonances
Abstract
We have calculated coupling constants of a neutral pion with the lowest two nucleon resonances. This includes both the diagonal as well as non-diagonal coupling constants involving a nucleon resonance and a nucleon. For this, we first calculate vacuum-to-pion correlation function of the interpolating fields of two nucleons and then take its matrix elements with respect to a nucleon spinor and/or a nucleon resonance spinor(s). Using different QCD sum rules obtained from different matrix elements we eliminate unwanted coupling constants and solve for the desired ones. This is a simple extension of the projected correlation function approach used in the literature where we use multiple of states involving those of a nucleon and its resonances. We have also checked the stability of our results with respect to variation of different QCD and phenomenological input parameters.
Cite
@article{arxiv.2104.12371,
title = {Pion couplings with low-lying nucleon resonances},
author = {Janardan Prasad Singh},
journal= {arXiv preprint arXiv:2104.12371},
year = {2022}
}
Comments
22 pages, 26 figures and 3 tables; some text added but no changes in final results and conclusions; version accepted for publication in Nucl. Phys. A