Study of the $f_2(1270)$ and $a_2(1320)$ resonances in ${\gamma }^{\ast }(Q^2)\gamma$ collisions

Abstract

We discuss studies of the $Q^2$ dependence of the $f_2(1270)$ and $a_2(1320)$ production cross sections in ${\gamma }^{\ast }(Q^2)\gamma$ collisions at current and coming into operation colliders with a high luminosity. Changing the dominant helicity amplitude occurs in the reactions ${\gamma }^{\ast }(Q^2)\gamma \to f_2(1270)$ and ${\gamma }^{\ast }(Q^2)\gamma \to a_2(1320)$ with increasing $Q^2$. This is caused by the coming of the QCD asymptotics. It is shown that the transition to the asymptotic behavior of QCD in the amplitudes ${\gamma }^{\ast }(Q^2)\gamma \to f_2(1270),a_2(1320)$ is provided by the compensation of the contributions of ground vector states $\rho$ and $\omega$ in $Q^2$-channel with the contributions of their radial excitations.

4 pages, 3 figures; typos corrected

References in corpus (5)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• High statistics study of f_0(980) resonance in gamma gamma --> pi^+ pi^- production
• High-statistics measurement of neutral-pion pair production in two-photon collisions
• High-statistics measurement of neutral-pion pair production in two-photon collisions

Cited by in corpus (5)

• Electroproduction of tensor mesons in QCD
• A study of the gamma* - f0(980) transition form factors
• QCD Constituent Counting Rules for Neutral Vector Mesons
• Production of $f_2(1270)$ meson in $pp$ collisions at the LHC via gluon-gluon fusion in the $k_t$-factorization approach
• Role of QCD compositeness in the production of scalar and tensor mesons through single-photon annihilation $e^{+}{e}^{-}\to {\gamma }^{\ast }\to \gamma S(T)$