Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons

Abstract

The axial-vector mesons $a_1(1260)$, $b_1(1235)$, $f_1(1285)$, $h_1(1170)$, $h_1(1380)$, and $K_1(1270)$ are dynamically generated in the unitized chiral perturbation theory. Such a picture has been tested extensively in the past few years. In this work, we calculate the interaction kernel up to $\mathcal{O}(p^2)$ and study the impact on the dynamically generated axial-vector states. In anticipation of future lattice QCD simulations, we calculate the scattering lengths and the pole positions as functions of the pion mass, with the light-quark mass dependence of the kaon, the eta, and the vector mesons determined by the $n_f=2+1$ lattice QCD simulations of the PACS-CS Collaboration.

21 pages, 4 figures

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Cited by in corpus (43)

• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• Few-body systems consisting of mesons
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• Revising the $f_1(1420)$ resonance
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Anomalous enhancement of the isospin-violating $\Lambda (1405)$ production by a triangle singularity in ${\Lambda }_c\to {\pi }^{+}{\pi }^0{\pi }^0{\Sigma }^0$
• Triangle singularity in ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{f}_0(980)$ ($a_0(980)$) decays
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• The $K\bar{K}\pi$ decay of the $f_1(1285)$ and its nature as a $K^{\ast }\bar{K}-cc$ molecule
• Analysis of recent CLAS data on $f_1(1285)$ photoproduction
• Hadronic molecular states from the $K{\bar{K}}^{\ast }$ interaction
• $\tau$ decay into a pseudoscalar and an axial-vector meson
• Pion-mass dependence of the nucleon-nucleon interaction
• Discerning the two $K_1(1270)$ poles in $D^0\to {\pi }^{+}VP$ decay
• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• Theoretical description of the $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1380)$, $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1170)$ and $\mathbf{J}/\mathbf{\psi }\to {\mathbf{\pi }}^0{\mathbf{b}}_1(1235{)}^0$ reactions
• Radiative decays of $f_1(1285)$ as the $K^{\ast }\bar{K}$ molecular state
• Partial decay widths of $\varphi (2170)$ to kaonic resonances
• Investigation of pion-induced $f_1(1285)$ production off a nucleon target within an interpolating Reggeized approach
• The ${\chi }_{cJ}$ decay to $\varphi K^{\ast }\bar{K},\varphi h_1(1380)$ testing the nature of axial vector meson resonances
• The three-pion decays of the $a_1(1260)$
• $\tau \to f_1(1285){\pi }^{-}{\nu }_{\tau }$ decay in the extended Nambu -- Jona-Lasinio model
• Role of the triangle mechanism in the ${\Lambda }_b\to {\Lambda }_c{\pi }^{-}{f}_0(980)$ reaction
• The $K^{-}p\to f_1(1285)\Lambda$ reaction within an effective Lagrangian approach
• The vertex corrections due to the triangle singularity mechanism in the light axial vector meson couplings to $K^{\ast }\bar{K}+c.c.$
• Determination of the compositeness of resonances from decays: the case of the $B_s^0\to J/\psi f_1(1285)$
• $J/\psi \to \gamma \pi \pi$, $\gamma {\pi }^0\eta$ reactions and the $f_0(980)$ and $a_0(980)$ resonances
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• K-pi interaction in finite volume and the K* resonance
• Tau decay into ${\nu }_{\tau }$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Testing the origin of the "$f_1(1420)$" with the $\bar{K}p\to \Lambda (\Sigma )K\bar{K}\pi$ reaction
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• Theoretical study in the ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ decays
• Strong decays of $a_0$, $f_0$, $f_2$, and $K_2^{\ast }$ resonances as dynamically generated states of two vector mesons
• Polarization amplitudes in ${\tau }^{-}\to {\nu }_{\tau }VP$ decay beyond the standard model
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays
• High order chiral Lagrangians with vector mesons in different approaches
• Observation of the singly Cabibbo suppressed decay $D^0\to b_1(1235{)}^{-}{e}^{+}{\nu }_e$ and evidence for $D^{+}\to b_1(1235{)}^0{e}^{+}{\nu }_e$
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity