Two photon decay and photoproduction of radial excitation of pion $π_0'$

Details Two photon decay and photoproduction of radial excitation of pion $π_0'$ Two photon decay and photoproduction of radial excitation of pion $π_0'$

2009-08-12

arxiv.org/abs/0908.1628v3

Phys.Lett.B682:212-215,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages

Scientific paper

10.1016/j.physletb.2009.11.006

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 -- $\pi_0'$ -- 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 $\pi_0'$ and $(\pi_0'+\gamma)$ states in the electron-positron colliders are estimated. The production of $\pi_0'$-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 $0.06\nb$.

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