Two-photon and one photon-one vector meson decay widths of the $f_0(1370)$, $f_2(1270)$, $f_0(1710)$, $f_2^{\prime }(1525)$, and $K_2^{\ast }(1430)$

Abstract

We calculate the radiative decay widths, two-photon ($\gamma \gamma$) and one photon-one vector meson ($V\gamma$), of the dynamically generated resonances from vector meson-vector meson interaction in a unitary approach based on the hidden-gauge Lagrangians. In the present paper we consider the following dynamically generated resonances: $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f_2^{\prime }(1525)$, $K_2^{\ast }(1430)$, two strangeness=0 and isospin=1 states, and two strangeness=1 and isospin=1/2 states. For the $f_0(1370)$ and $f_2(1270)$ we reproduce the previous results for the two-photon decay widths and further calculate their one photon-one vector decay widths. For the $f_0(1710)$ and $f_2^{\prime }(1525)$ the calculated two-photon decay widths are found to be consistent with data. The ${\rho }^0\gamma$, $\omega \gamma$ and $\varphi \gamma$ decay widths of the $f_0(1370)$, $f_2(1270)$, $f_0(1710)$, $f_2^{\prime }(1525)$ are compared with the results predicted by other approaches. The $K^{\ast +}\gamma$ and $K^{\ast 0}\gamma$ decay rates of the $K_2^{\ast }(1430)$ are also calculated and compared with the results obtained in the framework of the covariant oscillator quark model. The results for the two states with strangeness=0, isospin=1 and two states with strangeness=1, isospin=1/2 are predictions that need to be tested by future experiments.

Comments: More discussions about the relation between qqbar states and dynamically generated states; version published in PRD.