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The transition form factor of a gamma into three pions $F_{3\pi}$ are studiedin a framework of nonlocal chiral quark model. In local limit the result isagreement with chiral perturbative theory and reproduce Wess-Zumino-Wittenanomaly. Availability of nonlocality not change a value of transition formfactor in chiral limit. On the physical threshold of reaction, the transitionform factor $F_{3\pi}$ is obtained close to the experimental data on account ofcurrent mass of quark.

Transition form-factor of $\gamma\rightarrow 3\pi$ in nonlocal quark model