Electromagnetic Properties of the Nucleon ResonanceN′(1470)

Abstract

By applying the sidewise dispersion relation to the electromagnetic, $\pi -N$, and gravitational vertex functions of the nucleon and $N^{\prime }\mathrm{}\left(1470\right)\mathrm{}$ while dominating the intermediate states by one-particle states, we show that the magnetic form factor of $N^{\prime }\mathrm{}\left(1470\right)\mathrm{}$ and the magnetic transition form factor between $N^{\prime }\mathrm{}\left(1470\right)\mathrm{}$ and the nucleon are proportional to the magnetic form factor of the nucleon with known proportionality constants. We also show that the electromagnetic mass difference of $N^{\prime }\mathrm{}\left(1470\right)\mathrm{}$ is proportional to the $p-n$ mass difference with the same proportionality constant.