Theoretical study in the ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ decays

Abstract

We study the decay processes of ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ to analyse the $f_1(1285)$ resonance. By the calculation within chiral unitary approach where $f_1(1285)$ resonance is dynamically generated from the $K^{\ast }\bar{K}-c.c.$ interaction, we find that the ${\bar{K}}^{\ast 0}{K}^0$ invariant mass distribution has a clear broad peak. Such broad peak has been understood as the signal of the $f_1(1285)$. Finally, we obtain a theoretical result $R_t={\Gamma }_{{\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0}/{\Gamma }_{{\bar{B}}^0\to J/\psi f_1(1285)}$ which is expected to be compared with the experimental data.

Comments: 5 figures, 7 pages