Properties of the Strange Axial Mesons in the Relativized Quark Model

Abstract

We studied properties of the strange axial mesons in the relativized quark model. We calculated the $K_1$ decay constant in the quark model and showed how it can be used to extract the $K_1{(}^3{P}_1)-K_1{(}^1{P}_1)$ mixing angle (${\theta }_K$) from the weak decay $\tau \to K_1{\nu }_{\tau }$. The ratio $BR(\tau \to {\nu }_{\tau }{K}_1(1270))/BR(\tau \to {\nu }_{\tau }{K}_1(1400))$ is the most sensitive measurement and also the most reliable since the largest of the theoretical uncertainties factor out. However the current bounds extracted from the TPC/Two-Gamma collaboration measurements are rather weak: we typically obtain $-30^o\lesssim {\theta }_K\lesssim 50^o$ at 68\% C.L. We also calculated the strong OZI-allowed decays in the pseudoscalar emission model and the flux-tube breaking model and extracted a ${}^3{P}_1{-}^1{P}_1$ mixing angle of ${\theta }_K\simeq 45^o$. Our analysis also indicates that the heavy quark limit does not give a good description of the strange mesons.

Revised version to be published in Phys. Rev. D. Minor changes. Latex file uses revtex version 3 and epsfig, 4 postcript figures are attached. The full postcript version with embedded figures is available at ftp://ftp.physics.carleton.ca/pub/theory/godfrey/ocipc9512.ps.Z

References in corpus (2)

• The $\xi (2220)$ Revistited
• Distinguishing Among Strong Decay Models

Cited by in corpus (50)

• Spectroscopy of B_c Mesons in the Relativized Quark Model
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Strong Decays of Strange Quarkonia
• Properties of Excited Charm and Charm-Strange Mesons
• Y(2175): Distinguish Hybrid State from Higher Quarkonium
• Towards resolution of the enigmas of P-wave meson spectroscopy
• Properties of the Charmed P-wave Mesons
• Partial Wave Analysis of ${\chi }_{c0}\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$
• A possible hadronic excess in psi(2S) decay and rho-pi puzzle
• Constraint on axial-vector meson mixing angle from nonrelativistic constituent quark model
• Decay of axial-vector mesons into VP and P$\gamma$
• $X(1835)$ and $\eta (1760)$ observed by the BES Collaboration
• Are the $X$(4160) and $X$(3915) charmonium states?
• Mass spectrum and strong decays of strangeonium in a constituent quark model
• Canonical interpretation of the ${\eta }_2(1870)$
• Determining the photon polarization of the b --> s gamma using the B --> K1(1270) gamma --> (K pi pi) gamma decay
• Observation of the Semileptonic $D^{+}$ Transition into an Axial-Vector Meson ${\bar{K}}_1(1270{)}^0$
• The strong decays of K1 resonances
• Systematic analysis of the $D_J(2580)$, $D_J^{\ast }(2650)$, $D_J(2740)$, $D_J^{\ast }(2760)$, $D_J(3000)$ and $D_J^{\ast }(3000)$ in $D$ meson family
• The $\eta (2225)$ observed by the BES Collaboration
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Towards the assignment for the $4^1{S}_0$ meson nonet
• Regarding the axial-vector mesons
• Study of the K+ pi+ pi- Final State in B+ -> J/psi K+ pi+ pi- and B+ -> psi-prime K+ pi+ pi-
• Comment on the Nature of the $D_{s1}^{\ast }(2710)$ and $D_{sJ}^{\ast }(2860)$ Mesons
• Strong decays of the $X(2500)$ newly observed by the BESIII Collaboration
• Strong decays of the higher isovector scalar mesons
• On the nature of the $π_2(1880)
• On D-wave meson spectroscopy and the $K^{\ast }(1410)-K^{\ast }(1680)$ problem
• Strange axial-vector mesons mixing angle
• Axial-vector meson mixing in orthocharmonium decays
• Observation of a 1750 MeV/c^2 Enhancement in the Diffractive Photoproduction of K^+K^-
• Charmonium Decays to Axialvector plus Pseudoscalar Mesons
• Strong decay properties of single heavy baryons ${\Lambda }_Q$, ${\Sigma }_Q$ and ${\Omega }_Q$
• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• The bottom-charmed meson spectrum from a QCD approach based on Tamm--Dancoff approximation
• Analysis of the charmed mesons $D_1^{\ast }(2680)$, $D_3^{\ast }(2760)$ and $D_2^{\ast }(3000)$
• Angular momentum coefficients for meson strong decay and unquenched quark models
• Observation of $D^0\to K_1(1270{)}^{-}{e}^{+}{\nu }_e$
• Partial decay widths of $\varphi (2170)$ to kaonic resonances
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model
• Axial-vector mesons in a relativistic point-form approach
• Mixing angle of $K_1(1270/1400)$ and the $K{\bar{K}}_1(1400)$ molecular interpretation of ${\eta }_1(1855)$
• Probe of new light Higgs bosons from bottomonium chi_{b0} decay
• Hadronic production of $D(2550)$, $D^{\ast }(2600)$, $D(2750)$, $D_1^{\ast }(2760)$ and $D_3^{\ast }(2760)$
• First Measurement of the Decay Dynamics in the Semileptonic Transition of the $D^{+(0)}$ into the Axial-vector Meson ${\bar{K}}_1(1270)$
• Revisiting the assignment of $1^3{D}_1$ meson nonet
• Relating production and masses of the vector and P-wave mesons for light and heavy flavours al LEP
• Next-to-leading-order QCD calculations of $B\to A$ form factors with higher-twist corrections