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 $3.6\KeV$. 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 $1\GeV$. 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 $0.06\nb$.

10 pages

References in corpus (3)

• The decay ϕ-> f_0(980) γand the process e^+e^- -> ϕf_0(980)
• Radiative decays of scalar mesons σ(600), f_0(980) and a_0(980) in the local Nambu-Jona-Lasinio model
• Photoproduction of scalar and pseudoscalar mesons on a lepton within the local Nambu-Jona-Lasinio model

Cited by in corpus (4)

• Production of $\omega {\pi }^0$ pair in electron-positron annihilation
• Processes of $e^{+}{e}^{-}\to (\eta ,{\eta }^{\prime },\eta (1295),\eta (1475))\gamma$ in the extended Nambu -- Jona-Lasinio model
• Electromagnetic axial anomaly in a generalized linear sigma model
• Two-photon decays and photoproduction on electrons of $\eta (550)$, ${\eta }^{\prime }(958)$, $\eta (1295)$, and $\eta (1475)$ mesons