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Helicity amplitudes for photoproduction of baryons with \(J = 1/2\) and \(J^P=3/2^{+}\). (English) Zbl 1330.81200

Summary: We derive the separate helicity amplitudes using the partial wave analysis in the process of pseudo-scalar meson photoproduction. For \(J^{P} = 3/2^{+}\), we find the amplitude is model independent. According to parity conservation, the general amplitude in the case of \(J^{P} = 1/2^{-}\) is obtained. We prove this general amplitude corresponds to the situation of \(\lambda = -1\) when adopting the circular polarization. Finally, the formulas of scattering amplitudes involving the meson photoproduction with \(J^{P} = 3/2^{+}\) are obtained from the chiral quark model.

MSC:

81V05 Strong interaction, including quantum chromodynamics
81U99 Quantum scattering theory
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