The Helicity Amplitude for $1/2$ and $3/2^+$ Baryon in the Pseudo-Meson Photoproduction in the Quark Model

TL;DR

This paper derives model-independent helicity amplitudes for pseudo-scalar meson photoproduction involving baryons with spins 1/2 and 3/2+, using the chiral quark model and partial wave analysis.

Contribution

It provides new, model-independent formulas for helicity amplitudes in pseudo-scalar meson photoproduction involving specific baryon states.

Findings

Derived helicity amplitudes for J^P=3/2^+ baryons.

Established relations for J^P=1/2^- amplitudes based on parity.

Formulated scattering amplitudes from the chiral quark model.

Abstract

We derive the separate helicity amplitudes involving the partial wave analysis in the process of pseudo-scalar meson photon productions with $J^P=3/2^+$, which is independent on model. According to parity, the general amplitude in the case of $J^P=1/2^-$ is given out. We prove this general amplitude is corresponding to the situation of $\lambda=-1$ as adopting the circular polarization. Finally, the formulas of scattering amplitudes involving the photon-meson production with $J^P=3/2^+$ are obtained from the chiral quark model.