Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory

Abstract

We present results for the mixing of quark flavor eigenstates to form low-lying vector and tensor meson mass eigenstates in a generalized QCD-like theory with $\ell$ massless or light, degenerate quarks and one quark of substantial mass, $m_Q$. We show that as $m_Q/\Lambda$ gets large, where $\Lambda$ is the confinement scale, the angle governing this mixing approaches $\arctan (1/\sqrt{\ell })$. We give a generalization of the Gell-Mann Okubo mass relation for this theory. A comparison of the $\ell =2$ results with data on $\omega$-$\varphi$ and $f_2(1275)$-$f_2^{\prime }(1525)$ mixing is included.

10 pages

References in corpus (5)

• Lattice Simulations and Infrared Conformality
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Hadronic charmless B decays B-> AP
• On the $\pi$ and $K$ as $q\bar{q}$ Bound States and Approximate Nambu-Goldstone Bosons

Cited by in corpus (16)

• Revisiting Axial-Vector Meson Mixing
• The mass spectrum and strong decays of isoscalar tensor mesons
• The $B_c\to D^{(\ast )}T$ decays in perturbative QCD approach
• Nonleptonic two-body charmless B decays involving a tensor meson in the Perturbative QCD Approach
• Quasi-two-body decays $B_{(s)}\to P{f}_2(1270)\to P\pi \pi$ in the perturbative QCD approach
• The $B(B_s)\to D_{(s)}({\bar{D}}_{(s)})T$ and $D_{(s)}^{\ast }({\bar{D}}_{(s)}^{\ast })T$ decays in perturbative QCD approach
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Nonleptonic charmless decays of $B_c\to TP,TV$ in the perturbative QCD approach
• Stealth QCD-like Strong Interactions and the t-tbar Asymmetry
• Two- and three-body hadronic decays of charmed mesons involving a tensor meson
• The new states $X(1910)$ and $X(2300)$ and higher light excited $J^{PC}=1^{+-}$ mesons
• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Exclusive semileptonic $B$ decays to the ground and excited states of light mesons
• Study of quasi-two-body B^{0}\rightarrow T(ππ, K\bar{K},πη) decays in perturbative QCD approach