Photoproduction of the $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$

Abstract

Assuming that the $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$ resonances are dynamically generated states from the vector meson-vector meson interactions in $S$-wave with spin $S=2$, we study the $\gamma p\to f_2^{\prime }(1525)p$ and $\gamma p\to K_2^{\ast }(1430)\Lambda (\Sigma )$ reactions. These reactions proceed in the following way: the incoming photon first mutates into a ${\rho }^0$, $\omega$, or $\varphi$ meson via vector meson dominance, which then interacts with the ${\rho }^0$, $\omega$ or $K^{\ast }$ emitted by the incoming proton to form the tensor mesons $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$. The picture is simple and has no free parameters, as all the parameters of the mechanism have been fixed in previous studies. We predict the differential and total cross sections of these reactions. The results can be tested in future experiments and therefore offer new clues on the nature of these tensor states.

Comments: 7 pages, 7 figures