Regarding the axial-vector mesons

Abstract

The implications of the $f_1(1285)-f_1(1420)$ mixing for the $K_1{(}^3{P}_1)-K_1{(}^1{P}_1)$ mixing angle is investigated. Based on the $f_1(1285)-f_1(1420)$ mixing angle $\sim 50^{\circ }$ suggested from the analysis for a substantial body of data concerning the $f_1(1420)$ and $f_1(1285)$, the masses of the $K_1{(}^3{P}_1)$ and $K_1{(}^1{P}_1)$ are determined to be $\sim 1307.35\pm 0.63$ MeV and $1370.03\pm 9.69$ MeV, respectively, which therefore suggests that the $K_1{(}^3{P}_1)-K_1{(}^1{P}_1)$ mixing angle is about $\pm (59.55\pm 2.81{)}^{\circ }$. Also, it is found that the mass of the $h_1^{\prime }{(}^1{P}_1)$ (mostly of $s\bar{s}$) state is about $1495.18\pm 8.82$ MeV. Comparison of the predicted results and the available experimental information of the $h_1(1380)$ shows that without further confirmation on the $h_1(1380)$, the assignment of the $h_1(1380)$ as the $s\bar{s}$ member of the ${}^1{P}_1$ meson nonet may be premature.

11 pages, some typos corrected, accepted for publication in Eur. Phys. J. A

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Constituent quark model study of the meson spectra
• Hadronic Charmed Meson Decays Involving Axial Vector Mesons
• Meson resonances, large N_c and chiral symmetry
• Covariant Light-Front Approach for B to K* gamma, K_1 gamma, K*_2 gamma Decays
• Meson spectrum in Regge phenomenology
• Observation of B+ --> K1(1270)+ gamma
• B -> K1 gamma and tests of factorization for two-body non leptonic Bdecays with axial-vector mesons

Cited by in corpus (18)

• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Revisiting Axial-Vector Meson Mixing
• Categorizing resonances X(1835), X(2120) and X(2370) in the pseudoscalar meson family
• Light axial vector mesons
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Observation of $h_1(1380)$ in the $J/\psi \to {\eta }^{\prime }K\bar{K}\pi$ Decay
• Strange axial-vector mesons mixing angle
• Studying $X(2100)$ hadronic decays and predicting its pion and kaon induced productions
• Axial-vector $f_1(1285)-f_1(1420)$ mixing and $B_s\to J/\psi (f_1(1285),f_1(1420))$ decays
• The new states $X(1910)$ and $X(2300)$ and higher light excited $J^{PC}=1^{+-}$ mesons
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• On the decay widths of radially excited scalar meson $K_0^{\ast }(1430)$ in view of new experimental data
• Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$
• Newly observed $\kappa$(2600) and the highly excited states of the $K_0^{\ast }$ family
• $\tau$ lepton decays with production of strange scalar mesons $K_0^{\ast }(700)$ and $K_0^{\ast }(1430)$ in the extended NJL model
• Studies of Charmonium at BESIII
• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII
• The hadronic $\tau$ decay ${\tau }^{-}\to K_1^{-}{\nu }_{\tau }\to (K^{-}\omega ){\nu }_{\tau }\to (K^{-}{\pi }^{+}{\pi }^{-}{\pi }^0){\nu }_{\tau }$ and the axial vector mixing angle