Determination of $f_0-\sigma$ mixing angle through $B_s^0\to J/\Psi f_0(980)(\sigma )$ decays

Abstract

We study $B_s^0\to J/\psi f_0(980)$ decays, the quark content of $f_0(980)$ and the mixing angle of $f_0(980)$ and $\sigma (600)$. We calculate not only the factorizable contribution in QCD facorization scheme but also the nonfactorizable hard spectator corrections in QCDF and pQCD approach. We get consistent result with the experimental data of $B_s^0\to J/\psi f_0(980)$ and predict the branching ratio of $B_s^0\to J/\psi \sigma$. We suggest two ways to determine $f_0-\sigma$ mixing angle $\theta$. Using the experimental measured branching ratio of $B_s^0\to J/\psi f_0(980)$, we can get the $f_0-\sigma$ mixing angle $\theta$ with some theoretical uncertainties. We suggest another way to determine $f_0-\sigma$ mixing angle $\theta$ using both of experimental measured decay branching ratios $B_s^0\to J/\psi f_0(980)(\sigma )$ to avoid theoretical uncertainties.

arXiv admin note: substantial text overlap with arXiv:0707.2631

References in corpus (8)

• Measurement of $\boldmath {B_s^0}$ mixing parameters from the flavor-tagged decay
• Neutral B Meson Mixing in Unquenched Lattice QCD
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Charmless B decays to a scalar meson and a vector meson
• Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
• Study of scalar mesons f_0(980) and f_0(1500) from $B\to f_0(980)K$ and $B\to f_0(1500)K$ Decays
• Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\beta }_s$

Cited by in corpus (22)

• Weak decays of heavy hadrons into dynamically generated resonances
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• Dalitz plot analysis of $B^0\to {\overline{D}}^0{\pi }^{+}{\pi }^{-}$ decays
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Use of B->J/ψf0 decays to discern the q anti-q or tetraquark nature of scalar mesons
• Predictions for the ${\Lambda }_b\to J/\psi \Lambda (1405)$ decay
• Testing the molecular nature of ${\mathbf{D}}_{\mathbf{s}0}^{\ast }(2317)$ and ${\mathbf{D}}_0^{\ast }(2400)$ in semileptonic ${\mathbf{B}}_{\mathbf{s}}$ and $\mathbf{B}$ decays
• The ${\Lambda }_b\to J/\psi K\Xi$ decay and the higher order chiral terms of the meson baryon interaction
• Scalar mesons and the fragmented glueball
• ${\bar{B}}_s\to f_0(980)$ form factors and the width effect from light-cone sum rules
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Two-body charmed B(Bs) decays involving a light scalar meson
• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• Pseudoscalar or vector meson production in non-leptonic decays of heavy hadrons
• Phenomenological studies on the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays
• Study of $B_c\to DS$ Decays in PQCD Approach
• Insight into $f_0(980)$ through the $B_{(s)}$ charmed decays
• Cabibbo-Kobayashi-Maskawa-favored $B$ decays to a scalar meson and a $D$ meson
• Calculation of the $B\to K_{0,2}^{\ast }(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson