Mass and Decay Constant of $I=1/2$ Scalar Meson In QCD Sum Rule

Abstract

We calculate the mass and decay constant of $I=1/2$ scalar mesons composed of quark-antiquark pairs based on QCD sum rule. The quauk-antiquark pairs can be $s\bar{q}$ or $q\bar{s}$ ($q=u,d$) in quark model, the quantum numbers of spin and orbital angular momentum are S=1, L=1. We obtain the mass of the ground sate in this channel is $1.410\pm 0.049$GeV. This result favors that $K_0^{\ast }(1430)$ is the lowest scalar state of $s\bar{q}$ or $q\bar{s}$. We also predict the first excited scalar resonance of $s\bar{q}$ is larger than 2.0 GeV.

14 pages, 5 figures, Latex, some content added

References in corpus (12)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Scalar mesons above and below 1 GeV
• Is $f_0(1500)$ a Scalar Glueball?
• EVIDENCE FOR A SCALAR GLUEBALL
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• Determining the Gluonic Content of Isoscalar Mesons
• The mixing of the f0(1370), f0(1500) and f0(1710) and the search for the scalar glueball
• Glueball-quarkonia content and decay of scalar-isoscalar mesons
• Scalar Quarkonium and the Scalar Glueball
• Continuum Limit of Scalar Masses and Mixing Energies
• The Scalar Quarkonium Spectrum and Quarkonium-Glueball Mixing
• The Present Status on sigma and kappa Meson Properties

Cited by in corpus (27)

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• QCD Sum Rule Study of the Masses of Light Tetraquark Scalar Mesons
• Scalar Quarkonia at Finite Temperature
• Study of $K_0^{\ast }(1430)$ and $a_0(980)$ from $B\to K_0^{\ast }(1430)\pi$ and $B\to a_0(980)K$ Decays
• Semileptonic Decay of $B$ and $D\to K_0^{\ast }(1430)\bar{\ell }\nu$ From QCD Sum Rule
• Analysis of rare (B -> K_0*(1430) l^+ l^- decay) within QCD sum rules
• Determining $1^{--}$ Heavy Hybrid Masses via QCD Sum Rules
• Study of Doubly Heavy Baryon Spectrum via QCD Sum Rules
• Doubly CKM-suppressed corrections to CP asymmetries in $B^0\to J/\psi K^0$
• Study of scalar meson $a_0(980)$ from $B\to a_0(980)\pi$ Decays
• $K_0^{\ast }(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s\to K_0^{\ast }(1430)$ Transition Form Factors
• $B \to f_0(980) (π,\etapp)$ Decays in the PQCD Approach
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay
• Discussions on Stability of Diquarks
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
• Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)πDecays in the PQCD Approach
• Masses and decay constants of bound states containing fourth family quarks from QCD sum rules
• Testing the Structure of the Scalar Meson $K_0^{\ast }(1430)$ in $\tau \to K_0^{\ast }(1430)\nu$ Decay
• A Consistent Scenario for B to PS Decays
• Scrutinizing $B^0$-meson flavor changing neutral current decay into scalar $K_0^{\ast }(1430)$ meson with $b\to s{\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$ transition
• Universal scale factors relating mesonic fields and quark operators
• Form factors of $B_{(s)}$ to light scalar mesons with the $B$-meson LCSR
• $B_{(s)}\to S(a_0(1450),K_0^{\ast }(1430),f_0(1500))$ helicity form factors within QCD light-cone sum rules