Two photon decay and photoproduction of radial excitation of pion ${\pi }_0^{\prime }$

Abstract

Within the framework of non-local quark model of Nambu--Jona-Lasinio type the two-photon decay of radial excited state of ${\pi }_0$-meson -- ${\pi }_0^{\prime }$ -- is found to be $3.6\text{KeV}$. The radial excitation of pion is described with the use of polynomial formfactor of second order over ${\vec{q}}^2$ where $\vec{q}$ is the transverse momentum, which corresponds to relative motion of quark-antiquark pair within the energy range from 0 up to $1\text{GeV}$. The probabilities of production of ${\pi }_0^{\prime }$ and $({\pi }_0^{\prime }+\gamma )$ states in the electron-positron colliders are estimated. The production of ${\pi }_0^{\prime }$-meson in the interaction of photon with electron or muon is as well considered (Primakoff effect). The relevant total cross sections are 0.14 or $0.06\text{nb}$.

Comments: 10 pages