N*'s AND Δ's GENERATED IN VECTOR, PSEUDOSCALAR MESON-BARYON SYSTEMS

K P Khemchandani,A Martínez Torres,H Nagahiro,A Hosaka

doi:10.1142/s201019451460060x

K P Khemchandani, A Martínez Torres + Show 2 more

Open Access

https://doi.org/10.1142/s201019451460060x

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Abstract

We have recently studied coupled channel interactions of vector and pseudoscalar mesons with octet baryons having total strangeness null and spin-parity 1/2-. We, thus, considered πN, ηN, KΛ, KΣ, ρN, ωN, ϕN, K*Λ, and K*Σ 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 s-, t-, u-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*(1650) (with a double pole structure), N*(1895) and Δ(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 N* and Δ states.

Highlights

In this manuscript we outline some of the important features of our recent work on the nonstrange meson-baryon systems.[1]
N ∗’s and ∆ s Generated in Vector, Pseudoscalar Meson-Baryon Systems which is introduced as the gauge boson of the hidden local symmetries (HLS)
With the interaction kernels obtained by using the Lagrangians given in the previous section, we solve the Bethe-Salpeter equation in the coupled channel approach

Summary

Introduction

In this manuscript we outline some of the important features of our recent work on the nonstrange meson-baryon systems.[1]. The VB interaction is obtained from the s-, t- and u-channel diagrams and a contact term. Using Eq (1) we obtain the Yukawa type vertices necessary to calculate different exchange diagrams, while the contact term arises from the commutator of the vector meson tensor (V μν ).

Results

Conclusion