Coupled-Channel Effects for the Bottomonium with Realistic Wave Functions

Abstract

With Gaussian expansion method (GEM), realistic wave functions are used to calculate coupled-channel effects for the bottomonium under the framework of ${}^3{P}_0$ model. The simplicity and accuracy of GEM are explained. We calculate the mass shifts, probabilities of the $B$ meson continuum, $S-D$ mixing angles, strong and dielectric decay widths. Our calculation shows that both $S-D$ mixing and the $B$ meson continuum can contribute to the suppression of the vector meson's dielectric decay width. We suggest more precise measurements on the radiative decays of ${\rm Y}(10580)$ and ${\rm Y}(11020)$ to distinguish these two effects. The above quantities are also calculated with simple harmonic oscillator (SHO) wave function approximation for comparison. The deviation between GEM and SHO indicates that it is essential to treat the wave functions accurately for near threshold states.

21 pages, 6 figures, 6 tables

References in corpus (7)

• Heavy quarkonium: progress, puzzles, and opportunities
• Higher Charmonia and X,Y,Z states with Screened Potential
• Hadron Loops: General Theorems and Application to Charmonium
• Strong decays of charmed baryons
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• Charmed-strange Meson Spectrum: Old and New Problems
• Radially Excited States of ${\eta }_c$

Cited by in corpus (40)

• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
• Spectrum and electromagnetic transitions of bottomonium
• Hidden-charm and bottom tetra- and pentaquarks with strangeness in the hadro-quarkonium and compact tetraquark models
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• Tetraquark bound states in constituent quark models: benchmark test calculations
• Threshold corrections of ${\chi }_{\mathrm{c}}(2P)$ and ${\chi }_{\mathrm{b}}(3P)$ states and $J/\psi \rho$ and $J/\psi \omega$ transitions of the $X(3872)$ in a coupled-channel model
• Bottomonium spectrum in the relativistic flux tube model
• Mass spectra and strong decays of charmed and charmed-strange mesons
• Predicting a new resonance as charmed-strange baryonic analog of $D_{s0}^{\ast }(2317)$
• Strong decays of the 1P and 2D doubly charmed states
• Observation of the ${\chi }_{b1}$(3P) and ${\chi }_{b2}$(3P) and measurement of their masses
• How Large is the Contribution of Excited Mesons in Coupled-Channel Effects?
• Modeling Charmonium-$\eta$ Decays of $J^{PC}=1^{--}$ Higher Charmonia
• $X(4260)$ Revisited: A Coupled Channel Perspective
• ${\eta }_{\mathrm{c}}$- and $J/\psi$-isoscalar meson bound states in the hadro-charmonium picture
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• The possible members of the $5^1{S}_0$ meson nonet
• ${\chi }_b(3P)$ Multiplet Revisited: Ultrafine Mass Splitting and Radiative Transitions
• Charmonium states in a coupled-channel model
• Coupled-Channel-Induced $S-D$ mixing of Charmonia and Testing Possible Assignments for $Y(4260)$ and $Y(4360)$
• Mass spectrum of $1^{--}$ heavy quarkonium
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Bottomonia in an unquenched quark model
• Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states
• The opportunity to find ${\bar{d}}^{\ast }(2380)$ in the ${\rm Y}(nS)$ decay
• Predictions for Bottomonium from a Relativistic Screened Potential Model
• Phenomenological study on the decay widths of ${\rm Y}(nS)\to {\bar{d}}^{\ast }(2380)+X$
• Coupled-channel study of $4S$-$3D$ mixing dynamics in $\psi (4220)$ and $\psi (4380)$
• Properties of bottomonium in a relativistic quark model
• Highlights from the Compact Muon Solenoid (CMS) Experiment
• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII
• Threshold Effects in Heavy Quarkonium Spectroscopy and Decays
• Canonical interpretation of $Y(10750)$ and ${\rm Y}(10860)$ in the ${\rm Y}$ family
• Threshold effects in heavy quarkonium spectroscopy
• Exotic hadrons associated with $b$-quark
• Proposed mixing between $2P$ and $1F$ wave charmonia