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 ($D^{\ast }$, $D_s^{\ast }$, $B^{\ast }$, $B_s^{\ast }$, $B_c^{\ast }$) and tensor ($D_2^{\ast }$, $D_{s2}^{\ast }$, $B_2^{\ast }$, $B_{s2}^{\ast }$) 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 $f_{D^{\ast },D_s^{\ast },B^{\ast },B_s^{\ast },B_c^{\ast }}=(252.0_{-11.6}^{+13.8}$, $318.3_{-12.6}^{+15.3}$ , $201.9_{-41.4}^{+43.2}$, $244.2\pm 7.0$, $473.4\pm 18.2$) and $(264.9_{-9.5}^{+10.2}$, $330.9_{-9.0}^{+9.9}$, $220.2_{-46.2}^{+49.1}$, $265.7\pm 8.0$, $487.6\pm 19.2$) MeV with Gaussian and power-law wave functions, respectively, while $f_{D_2^{\ast },D_{s2}^{\ast },B_2^{\ast },B_{s2}^{\ast }}$= ($143.6_{-21.8}^{+24.9}$, $209.5_{-24.2}^{+29.1}$, $80.9_{-27.7}^{+33.8}$, $109.7_{-15.0}^{+15.7}$) MeV with only Gaussian wave functions.

Comments: 14 pages, 8 figures, revised version with modified title accepted by EPJC