Coupling Constant for $\mathbf{N^*(1535)N\rho}$

TL;DR

This paper estimates the $N^*(1535)N ho$ coupling constant using decay data and shows that different methods yield consistent values within experimental uncertainties.

Contribution

It provides a comparative analysis of the $g_{N^*N ho}$ coupling constant derived from decay processes and the vector-meson-dominance model, demonstrating their consistency.

Findings

The coupling constant values from different decay channels are consistent.

Experimental uncertainties are large but do not contradict the consistency.

Effective Lagrangian approach supports the comparison.

Abstract

The value of the $N^*(1535)N\rho$ coupling constant $g_{N^*N\rho}$ derived from the $N^*(1535) \to N\rho \to N \pi \pi$ decay is compared with that deduced from the radiative decay $N^*(1535) \to N \gamma$ using the vector-meson-dominance model. On the basis of an effective Lagrangian approach, we show that the value of $g_{N^*N\rho}$ extracted from the available experimental data on the two decays are consistent, though the error bars are rather large.