SU(3) symmetry breaking in decay constants and electromagnetic properties of pseudoscalar heavy mesons

Abstract

In this paper, the decay constants and mean square radii of pseudoscalar heavy mesons are studied in the SU(3) symmetry breaking. Within the light-front framework, the ratios $f_{D_s}/f_D$ and $f_{B_s}/f_B$ are individually estimated using the hyperfine splittings in the $D_{(s)}^{\ast }-D_{(s)}$ and $B_{(s)}^{\ast }-B_{(s)}$ states and the light quark masses, $m_{s,q}$ ($q=u,d$), to extract the wave function parameter $\beta$. The values $f_{D_s}/f_D=1.29\pm 0.07$ and $f_{B_s}/f_B=1.32\pm 0.08$ are obtained, which are not only chiefly determined by the ratio of light quark masses $m_s/m_q$, but also insensitive to the heavy quark masses $m_{c,b}$ and the decay constants $f_{D,B}$. The dependence of $f_{B_c}/f_B$ on $\Delta M_{B_c{B}_c^{\ast }}$ with the varied charm quark masses is also shown. In addition, the mean square radii are estimated as well. The values $\sqrt{<r_{D_s^{+}}^2><r_{D^{+}}^2>}=0.740_{+0.050}^{-0.041}$ and $\sqrt{<r_{B_s^0}^2><r_{B^0}^2>}=0.711_{+0.058}^{-0.049}$ are obtained, and the sensitivities of $<r_P^2>$ on the heavy and light quark masses are similar to those of the decay constants.

21 pages, 5 figures, 4 tables, some typos are corrected, version to be published in Phys. Rev. D

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Cited by in corpus (11)

• Vector and axial-vector couplings of D and D* mesons in 2+1 flavor Lattice QCD
• Measurements of branching fractions of leptonic and hadronic Ds+ meson decays and extraction of the Ds+ meson decay constant
• Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson
• Heavy-Light Mesons on the Light Front
• Determination of the pseudoscalar decay constant $f_{D_s^{+}}$ via $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Determination of the pion distribution amplitude
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Exploring the flavor content of light and heavy-light pseudoscalars
• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• Improved measurements of $D_s$ meson decay constant and branching fractions of $D_s^{+}\to K^{-}{K}^{+}{\pi }^{+}$, $\bar{K}{}^0{K}^{+}$ and $\eta {\pi }^{+}$ decays from Belle
• Ratios of vector and pseudoscalar $B$ meson decay constants in the light-cone quark model