Multichannel calculation of excited vector $\varphi$ resonances and the $\varphi (2170)$

Abstract

A multichannel calculation of excited $J^{PC}=1^{--}$ $\varphi$ states is carried out within a generalization of the Resonance-Spectrum Expansion, which may shed light on the classification of the $\varphi (2170)$ resonance, discovered by BABAR and originally denoted X(2175). In this framework, a complete spectrum of bare $s\bar{s}$ states is coupled to those OZI-allowed decay channels that should be most relevant for the considered energy range. The included $S$- and $P$-wave two-meson channels comprise the lowest pseudoscalar, vector, scalar, and axial-vector mesons, while in the $q\bar{q}$ sector both the ${}^3{S}_1$ and ${}^3{D}_1$ states are coupled. The only two free parameters are tuned so as to reproduce mass and width of the $\varphi (1020)$, but come out reasonably close to previously used values. Among the model's $T$-matrix poles, there are good candidates for observed resonances, as well other ones that should exist according to the quark model. Besides the expected resonances as unitarized confinement states, a dynamical resonance pole is found at $(2186-i246)$ MeV. The huge width makes its interpretation as the $\varphi (2170)$ somewhat dubious, but further improvements of the model may change this conclusion.

6 pages, 5 figures, RevTex4; v2: very recent experimental result, some extra discussion, and 2 references added; v3: 3 new figures, 2 new equations, and some rephrasing; version accepted for publication in Phys. Rev. D

References in corpus (16)

• A Structure at 2175 MeV in $e^{+}{e}^{-}\to \varphi f_0(980)$ Observed via Initial-State Radiation
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• New Hadron States
• Observation of Y(2175) in $J/\psi \to \eta \varphi f_0(980)$
• Analysis of Y(2175) as a tetraquark state with QCD sum rules
• Observation of the $\varphi (1680)$ and the Y(2175) in $e^{+}{e}^{-}\to \varphi {\pi }^{+}{\pi }^{-}$
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• A Candidate for $1^{--}$ Strangeonium Hybrid
• Y(2175): Distinguish Hybrid State from Higher Quarkonium
• D_{sJ}(2860) as the first radial excitation of the D_{s0}^*(2317)
• The Y(2175) State in the QCD Sum Rule
• Electron-positron annihilation into phi f_{0}(980) and clues for a new 1^{--} resonance
• Relating multichannel scattering and production amplitudes in a microscopic OZI-based model
• Coupling constants and transition potentials for hadronic decay modes of a meson
• Meson-meson interactions and Regge propagators
• Scalar and axial-vector mesons

Cited by in corpus (22)

• Non-strange partner of strangeonium-like state Y(2175)
• Limits to the Fixed Center Approximation to Faddeev equations: the case of the $\varphi (2170)$
• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• $K\Lambda (1405)$ configuration of the $K\bar{K}N$ system
• Delicate interplay between the D0-D*0, rho0-J/psi, and omega-J/psi channels in the X(3872) resonance
• Signature of an $h_1$ state in the $J/\psi \to \eta h_1\to \eta K^{\ast 0}{\bar{K}}^{\ast 0}$ decay
• A possible partner state of the $Y(2175)$
• Mass spectrum and strong decays of strangeonium in a constituent quark model
• Two charged strangeonium-like structures observable in the $Y(2175)\to \varphi (1020){\pi }^{+}{\pi }^{-}$ process
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Study on the strong decays of $\varphi (2170)$ and a grand expectation for the future charm-tau factory
• Modern meson spectroscopy: the fundamental role of unitarity
• Vector mesons and electromagnetic form factor of the $\Lambda$ hyperon
• Electromagnetic form factors of $\Lambda$ hyperon in the vector meson dominance model and a possible explanation of the near-threshold enhancement of the $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }$ reaction
• Quasi-bound states in the continuum: a dynamical coupled-channel calculation of axial-vector charmed mesons
• The phi(1020) a0(980) S-wave scattering and hints for a new vector-isovector resonance
• The Regge trajectories and leptonic widths of the vector $s\bar{s}$ mesons
• Strange Quarkonium States at BESIII
• The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons
• Second resonance of the Higgs field: motivations, experimental signals, unitarity constraints
• $\varphi (2170)$ decaying to $\varphi \pi \pi$ and $\varphi K\bar{K}$
• Understanding the $f_0(980)$ and $a_0(980)$ masses as well as their widths