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 $$f_{D^{*}, D^{*}_{s}, B^{*},B^{*}_s,B^{*}_c} = (252.0^{+13.8}_{-11.6}$$ , $$318.3^{+15.3}_{-12.6}$$ , $$201.9^{+43.2}_{-41.4}$$ , $$244.2\pm 7.0$$ , $$473.4\pm 18.2$$ ) and $$(264.9^{+10.2}_{-9.5}$$ , $$330.9^{+9.9}_{-9.0}$$ , $$220.2^{+49.1}_{-46.2}$$ , $$265.7\pm 8.0$$ , $$487.6\pm 19.2$$ ) MeV with Gaussian and power-law wave functions, respectively, while we have $$f_{D_{2}^{*},D_{s2}^{*},B^{*}_{2},B^{*}_{s2}}$$ = ( $$143.6^{+24.9}_{-21.8}$$ , $$209.5^{+29.1}_{-24.2}$$ , $$80.9^{+33.8}_{-27.7}$$ , $$109.7^{+15.7}_{-15.0}$$ ) MeV with only Gaussian wave functions.