Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure

Abstract

Only two isospin-singlet scalar mesons $f_0(600)$ ($\sigma$) and $f_0(980)$ exist below 1 GeV, so that it is natural to suppose that they are two energy eigenstates which are mixtures of $\frac{1}{\sqrt{2}}(u\bar{u}+d\bar{d})$ and $s\bar{s}$. Is this picture right? Generally, it is considered that $f_0(600)$ mainly consists of $\frac{1}{\sqrt{2}}(u\bar{u}+d\bar{d})$, if so, the dominant component of $f_0(980)$ should be $s\bar{s}$. The recent measurement of the CLEO collaboration on the branching ratio of $D_s\to f_0(980)e^{+}{\nu }_e$ provides an excellent opportunity to testify the structure of $f_0(980)$, namely whether the data can be understood as long as it consists of mainly the conventional $q\bar{q}$ structure. We calculate the form factors of $D_s\to f_0(980)$ in the light-front quark model (LFQM) and the corresponding branching ratio of the semileptonic decay. By fitting the data, we obtain the mixing angle $\varphi$. The obtained mixing angle shows that the $s\bar{s}$ component in $f_0(980)$ may not be dominant.

13pages, 3 figures; some changes were made, references added. Accepted by PRD

References in corpus (7)

• Heavy-to-light form factors on the light cone
• Diquarks and Λ_{b}\toΛ_c weak decays
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• The Scalar Meson f0(980) in Heavy-Meson Decays
• Interpretation of the "$f_{D_s}$ puzzle" in SM and beyond
• Charm Physics - A Field Full with Challenges and Opportunities
• Charm Leptonic and Semileptonic Decays

Cited by in corpus (12)

• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• $B_s\to D_s(3040)$ form factors and $B_s$ decays into $D_s(3040)$
• ${\Sigma }_b\to {\Sigma }_c$ and ${\Omega }_b\to {\Omega }_c$ weak decays in the light-front quark model
• Re-Study on the wave functions of ${\rm Y}(nS)$ states in LFQM and the radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$
• The weak decays of ${\Xi }_c^{{(}^{\prime })}\to \Xi$ in the light-front quark model
• Study on the weak decay between two heavy baryons ${\mathcal{B}}_i({\frac{1}{2}}^{+})\to {\mathcal{B}}_f({\frac{3}{2}}^{+})$ in the light-front quark model
• Study of the $f_0(980)$ and $f_0(500)$ Scalar Mesons through the Decay $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• Numerical analysis of the production of $D^{(\ast )}(3000)$, $D_{sJ}(3040)$ and their partners through the semileptonic decays of $B_{(s)}$ mesons in terms of the light-front quark model
• Determining the effective Wilson coefficient $a_2$ in terms of $BR(B_s\to {\eta }_c\varphi )$ and evaluating $BR(B_s\to {\eta }_c{f}_0(980))$
• Observation of $D^{+}\to f_0(500){\mu }^{+}{\nu }_{\mu }$ and study of $D^{+}\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\nu }_{\ell }$ decay dynamics