Revising the $f_1(1420)$ resonance

Abstract

We have studied the production and decay of the $f_1(1285)$ into $\pi a_0(980)$ and $K^{\ast }\bar{K}$ as a function of the mass of the resonance and find a shoulder around 1400 MeV, tied to a triangle singularity, for the $\pi a_0(980)$ mode, and a peak around 1420 MeV with about 60 MeV width for the $K^{\ast }\bar{K}$ mode. Both these features agree with the experimental information on which the $f_1(1420)$ resonance is based. In addition, we find that if the $f_1(1420)$ is a genuine resonance, coupling mostly to $K^{\ast }\bar{K}$ as seen experimentally, one finds unavoidably about a 20\% fraction for $\pi a_0(980)$ decay of this resonance, in drastic contradiction with all experiments. Altogether, we conclude that the $f_1(1420)$ is not a genuine resonance, but the manifestation of the $\pi a_0(980)$ and $K^{\ast }\bar{K}$ decay modes of the $f_1(1285)$ at higher energies than the nominal one.

arXiv comment9 pages, 12 figures, new references added

References in corpus (36)

• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Resurrection of the Sigma Meson
• A low-lying scalar meson nonet in a unitarized meson model
• Low lying axial-vector mesons as dynamically generated resonances
• On meson resonances and chiral symmetry
• Bethe-Salpeter Approach for Unitarized Chiral Perturbation Theory
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• The puzzle of anomalously large isospin violations in $\eta (1405/1475)\to 3\pi$
• Searching for observable effects induced by anomalous triangle singularities
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• On the nature of $a_1(1420)$
• Global aspects of the scalar meson puzzle
• Bethe-Salpeter Approach for Meson-Meson Scattering in Chiral Perturbation Theory
• First observation of $\eta (1405)$ decays into $f_0(980){\pi }^0$
• Effective chiral Lagrangians for spin-1 mesons
• Isospin breaking and $f_0(980)$-$a_0(980)$ mixing in the $\eta (1405)\to {\pi }^0{f}_0(980)$ reaction
• Understanding the property of $\eta (1405/1475)$ in the $J/\psi$ radiative decay
• The low lying scalar resonances in the $D^0$ decays into $K_s^0$ and $f_0(500)$, $f_0(980)$, $a_0(980)$
• Clues for the existence of two $K_1(1270)$ resonances
• Observation of a new narrow axial-vector meson $a_1(1420)$
• Tetraquark spectroscopy
• The "$a_1(1420)$" peak as the $\pi f_0(980)$ decay mode of the $a_1(1260)$
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• A measurement of the branching fractions of the f1(1285) and f1(1420) produced in central pp interactions at 450 GeV/c
• Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Decay of axial-vector mesons into VP and P$\gamma$
• $f_0(500)$, $f_0(980)$ and $a_0(980)$ production in the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ reaction
• A study of the KKbarpi channel produced centrally in pp interactions at 450 GeV/c
• Composite and elementary natures of a1(1260) meson
• Gauged linear sigma model and pion-pion scattering
• Quantum loops in radiative decays of the $a_1$ and $b_1$ axial-vector mesons
• Structure of f0(980) from a Coupled Channel Analysis of S-wave pi pi Scattering
• Observation of the isospin-violating decay $J/\psi \to \varphi {\pi }^0{f}_0(980)$
• The $K\bar{K}\pi$ decay of the $f_1(1285)$ and its nature as a $K^{\ast }\bar{K}-cc$ molecule

Cited by in corpus (30)

• Hadronic molecules
• Multiquark States
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Mass spectrum and strong decays of strangeonium in a constituent quark model
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Considerations on the Schmid theorem for triangle singularities
• Role of a triangle singularity in the $\pi \Delta$ decay of the $N(1700)(3/2^{-})$
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• Role of a triangle singularity in the $\pi N(1535)$ contribution to $\gamma p\to p{\pi }^0\eta$
• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
• 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
• Triangle singularities in $J/\psi \to \eta {\pi }^0\varphi$ and ${\pi }^0{\pi }^0\varphi$
• The role of the triangle singularity in $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ and $pp\to p{K}^{+}\pi \Sigma$ processes
• Line-shape and poles of the $\psi (3770)$
• Triangle mechanisms in the build up and decay of the $N^{\ast }(1875)$
• Central exclusive diffractive production of axial-vector $f_1(1285)$ and $f_1(1420)$ mesons in proton-proton collisions
• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Radiative decays of $f_1(1285)$ as the $K^{\ast }\bar{K}$ molecular state
• Role of the triangle mechanism in the ${\Lambda }_b\to {\Lambda }_c{\pi }^{-}{f}_0(980)$ reaction
• The vertex corrections due to the triangle singularity mechanism in the light axial vector meson couplings to $K^{\ast }\bar{K}+c.c.$
• Productions of $f_1(1420)$ in pion and kaon induced reactions
• Measurement of f${}_1$(1285) production in pp collisions at $\sqrt{\text{s}}$ = 13 TeV
• Testing the origin of the "$f_1(1420)$" with the $\bar{K}p\to \Lambda (\Sigma )K\bar{K}\pi$ reaction
• 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
• Photoproductions of $f_1(1285)$ and ${\eta }^{\prime }(958)$ from the analysis of CLAS data with the Primakoff effect at high energies
• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII
• The possible $K{\bar{K}}^{\ast }$ and $D{\bar{D}}^{\ast }$ bound and resonance states by solving Schrodinger equation
• Study of $f_1(1420)$ and $\eta (1405)$ in the decay $J/\psi \to \gamma {\pi }^0{\pi }^0{\pi }^0$