Some heavy vector and tensor meson decay constants in light-front quark model

Abstract

We study the decay constants ($f_M$) of the heavy vector ($D^{*}$, $D^{*}_{s}$, $B^{*}$, $B^{*}_{s}$, $B^{*}_{c}$) and tensor ($D_{2}^{*}$, $D_{s2}^{*}$, $B^{*}_{2}$, $B^{*}_{s2}$) mesons in the light front quark model. With the known pseudoscalar meson decay constants of $f_D$, $f_{D_s}$, $f_B$, $f_{B_s}$, and $f_{B_c}$ as the input parameters to determine the light-front meson wave functions, we obtain that $f_{D^{*}, D^{*}_{s}, B^{*},B^{*}_s,B^{*}_c} = (252.0^{+13.8}_{-11.6}$, $318.3^{+15.3}_{-12.6}$ , $201.9^{+43.2}_{-41.4}$, $244.2\pm7.0$, $473.4\pm18.2$) and $(264.9^{+10.2}_{-9.5}$, $330.9^{+9.9}_{-9.0}$, $220.2^{+49.1}_{-46.2}$, $265.7\pm8.0$, $487.6\pm19.2$) MeV with Gaussian and power-law wave functions, respectively, while $f_{D_{2}^{*},D_{s2}^{*},B^{*}_{2},B^{*}_{s2}}$= ($143.6^{+24.9}_{-21.8}$, $209.5^{+29.1}_{-24.2}$, $80.9^{+33.8}_{-27.7}$, $109.7^{+15.7}_{-15.0}$) MeV with only Gaussian wave functions.