Theoretical study in the B¯0→J/ψK¯*0K0 and B¯0→J/ψf1(1285) decays

Abstract

We study the decay processes of ${\overline{B}}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{\overline{K}}^{*0}{K}^{0}$ and ${\overline{B}}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{f}_{1}(1285)$ to analyze the ${f}_{1}(1285)$ resonance. By the calculation within chiral unitary approach where ${f}_{1}(1285)$ resonance is dynamically generated from the ${K}^{*}\overline{K}\ensuremath{-}\mathrm{c}.\mathrm{c}.$ interaction, we find that the ${\overline{K}}^{*0}{K}^{0}$ 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 ${R}_{t}={\mathrm{\ensuremath{\Gamma}}}_{{\overline{B}}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{\overline{K}}^{*0}{K}^{0}}/{\mathrm{\ensuremath{\Gamma}}}_{{\overline{B}}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{f}_{1}(1285)}$ which is expected to be compared with the experimental data.