English

$N^*$'s and $\Delta$'s generated in vector, pseudoscalar meson-baryon systems

Nuclear Theory 2015-06-17 v1

Abstract

We have recently studied coupled channel interactions of vector and pseudoscalar mesons with octet baryons having total strangeness null and spin-parity 1/21/2^-. We, thus, considered πN\pi N, ηN\eta N, KΛK \Lambda, KΣK \Sigma, ρN\rho N, ωN\omega N, ϕN\phi N, KΛK^* \Lambda, and KΣK^*\Sigma with total isospin 1/2 and 3/2. The interactions between pseudoscalar mesons and baryons are obtained by using the Weinberg-Tomozawa theorem. For the case of vector mesons, we calculate ss-, tt-, uu-exchange diagrams and a contact term. The subtraction constants, required to calculate the loop-function in the scattering equations, are constrained by fitting the available experimental data on some of the reactions with pseudoscalar meson-baryon final states. We end up finding resonances which can be related to N(1535)N^*(1535), N(1650)N^*(1650) (with a double pole structure), N(1895)N^*(1895) and Δ(1620)\Delta(1620). We conclude that these resonances can be, at least partly, interpreted as dynamically generated resonances and that the vector mesons play an important role in determining the dynamical origin of the low-lying NN^* and Δ\Delta states.

Keywords

Cite

@article{arxiv.1310.0067,
  title  = {$N^*$'s and $\Delta$'s generated in vector, pseudoscalar meson-baryon systems},
  author = {K. P. Khemchandani and A. Martínez Torres and H. Nagahiro and A. Hosaka},
  journal= {arXiv preprint arXiv:1310.0067},
  year   = {2015}
}

Comments

Proceedings for the NSTAR2013 conference

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