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

preprint2016arXivOpen access

Abstract

We study the decay constants (fMf_M) of the heavy vector (D∗D^{*}, Ds∗D^{*}_{s}, B∗B^{*}, Bs∗B^{*}_{s}, Bc∗B^{*}_{c}) and tensor (D2∗D_{2}^{*}, Ds2∗D_{s2}^{*}, B2∗B^{*}_{2}, Bs2∗B^{*}_{s2}) mesons in the light front quark model. With the known pseudoscalar meson decay constants of fDf_D, fDsf_{D_s}, fBf_B, fBsf_{B_s}, and fBcf_{B_c} as the input parameters to determine the light-front meson wave functions, we obtain that fD∗,Ds∗,B∗,Bs∗,Bc∗=(252.0−11.6+13.8f_{D^{*}, D^{*}_{s}, B^{*},B^{*}_s,B^{*}_c} = (252.0^{+13.8}_{-11.6}, 318.3−12.6+15.3318.3^{+15.3}_{-12.6} , 201.9−41.4+43.2201.9^{+43.2}_{-41.4}, 244.2±7.0244.2\pm7.0, 473.4±18.2473.4\pm18.2) and (264.9−9.5+10.2(264.9^{+10.2}_{-9.5}, 330.9−9.0+9.9330.9^{+9.9}_{-9.0}, 220.2−46.2+49.1220.2^{+49.1}_{-46.2}, 265.7±8.0265.7\pm8.0, 487.6±19.2487.6\pm19.2) MeV with Gaussian and power-law wave functions, respectively, while fD2∗,Ds2∗,B2∗,Bs2∗f_{D_{2}^{*},D_{s2}^{*},B^{*}_{2},B^{*}_{s2}}= (143.6−21.8+24.9143.6^{+24.9}_{-21.8}, 209.5−24.2+29.1209.5^{+29.1}_{-24.2}, 80.9−27.7+33.880.9^{+33.8}_{-27.7}, 109.7−15.0+15.7109.7^{+15.7}_{-15.0}) MeV with only Gaussian wave functions.

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