Study of ${\pi }^0$ pair production in single-tag two-photon collisions

Abstract

We report a measurement of the differential cross section of ${\pi }^0$ pair production in single-tag two-photon collisions, ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$, in $e^{+}{e}^{-}$ scattering. The cross section is measured for $Q^2$ up to 30 GeV${}^2$, where $Q^2$ is the negative of the invariant mass squared of the tagged photon, in the kinematic range 0.5 GeV < W < 2.1 GeV and $|\cos {\theta }^{\ast }|$ < 1.0 for the total energy and pion scattering angle, respectively, in the ${\gamma }^{\ast }\gamma$ center-of-mass system. The results are based on a data sample of 759 fb${}^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. The transition form factor of the $f_0(980)$ and that of the $f_2(1270)$ with the helicity-0, -1, and -2 components separately are measured for the first time and are compared with theoretical calculations.

36 pages, 37 figures, 11 tables, Belle Preprint 2015-15, KEK Preprint 2015-24

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