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

TL;DR

This paper calculates decay constants of heavy vector and tensor mesons using the light-front quark model, providing new numerical estimates with different wave function assumptions, which are crucial for understanding meson properties.

Contribution

It introduces a method to determine heavy meson decay constants in the light-front quark model using known pseudoscalar decay constants as inputs, offering updated numerical results.

Findings

Decay constants for vector mesons range from 201.9 to 473.4 MeV.

Tensor meson decay constants are estimated between 80.9 and 209.5 MeV.

Results depend on the choice of Gaussian or power-law wave functions.

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.