Faddeev fixed center approximation to $\pi \bar{K}{K}^{\ast }$ system and the ${\pi }_1(1600)$

Abstract

We investigate the three-body system of $\pi \bar{K}{K}^{\ast }$ by using the fixed-center approximation to the Faddeev equation, taking the interaction between $\pi$ and $\bar{K}$, $\pi$ and $K^{\ast }$, and $\bar{K}$ and $K^{\ast }$ from the chiral unitary approach. The study is made assuming scattering of a $\pi$ on a $\bar{K}{K}^{\ast }$ cluster, which is known to generate the $f_1(1285)$ state. The resonant structure around $1650$ MeV shows up in the modulus squared of the $\pi$-$(\bar{K}{K}^{\ast }{)}_{f_1(1285)}$ scattering amplitude and suggests that a $\pi$-$(\bar{K}{K}^{\ast }{)}_{f_1(1285)}$ state, with "exotic" quantum numbers $J^{PC}=1^{-+}$, can be formed. This state can be identified as the observed ${\pi }_1(1600)$ resonance. We suggest that this is the origin of the present ${\pi }_1(1600)$ resonance and propose to look at the $\pi f_1(1285)$ mode in future experiments to clarify the issue.

arXiv comment6 pages, 5 figures. To match the published version in PRD

References in corpus (44)

• Big-Bang Nucleosynthesis
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• QCD and strongly coupled gauge theories: challenges and perspectives
• Toward the excited meson spectrum of dynamical QCD
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Low lying axial-vector mesons as dynamically generated resonances
• The Production and Decay of Hybrid Mesons by Flux-Tube Breaking
• On meson resonances and chiral symmetry
• Hybrid Mesons
• Evidence for a $B_s^0{\pi }^{\pm }$ State
• Hybrid Meson Decay Phenomenology
• Observation of a J^PC = 1-+ exotic resonance in diffractive dissociation of 190 GeV/c pi- into pi- pi- pi+
• Observation of exotic meson production in the reaction ${\pi }^{-}p\to {\eta }^{\prime }{\pi }^{-}p$ at 18 GeV/c
• Chiral unitary approach to the K^- deuteron scattering length
• Exotic Meson Production in the $f_1(1285){\pi }^{-}$ System observed in the Reaction ${\pi }^{-}p\to \eta {\pi }^{+}{\pi }^{-}{\pi }^{-}p$ at 18 GeV/c
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Exotic Meson Decay to $\omega {\pi }^0{\pi }^{-}$
• Clues for the existence of two $K_1(1270)$ resonances
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• The Status of Exotic-quantum-number Mesons
• Observation of a new narrow axial-vector meson $a_1(1420)$
• A description of the f2(1270), rho3(1690), f4(2050), rho5(2350) and f6(2510) resonances as multi-rho(770) states
• S wave Kπscattering and effects of κin J/ψ\to {\bar K}^{*0}(892)K^+π^-
• On the scattering length of the K^- d system
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• 1^{-+} light exotic mesons in QCD
• 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
• Search for the photo-excitation of exotic mesons in the pi+pi+pi- system
• On the nature of the K*2(1430), K*3(1780), K*4(2045), K*5(2380) and K*6 as K*--multi-rho states
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
• Theoretical support for the $\pi (1300)$ and the recently claimed $f_0(1790)$ as molecular resonances
• The Decay Properties of the 1^{-+} Hybrid State
• Exotic $J^{PC}=1^{-+}$ mesons in a holographic model of QCD
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• Pseudotensor mesons as three-body resonances
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Hybrid exotic meson with J^{PC}=1^{-+} in AdS/QCD

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• Pentaquark and Tetraquark states
• Few-body systems consisting of mesons
• Study of the $DKK$ and $DK\bar{K}$ systems
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• 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
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation