$Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential

Abstract

The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schrödinger equation to obtain their mass spectra using only four parameters namely quark mass ($m_c$, $m_b$) and confinement strength ($A_{c\bar{c}}$, $A_{b\bar{b}}$). The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interaction are computed perturbatively to determine the mass spectra of excited $S$, $P$, $D$ and $F$ states. Digamma, digluon and dilepton decays of these mesons are computed using the model parameters and numerical wave functions. The predicted spectroscopy and decay properties for quarkonia are found to be consistent with available experimental observations and results from other theoretical models. We also compute mass spectra and life time of the $B_c$ meson without additional parameters. The computed electromagnetic transition widths of heavy quarkonia and $B_c$ mesons are in tune with available experimental data and other theoretical approaches.

References in corpus (30)

• Heavy quarkonium: progress, puzzles, and opportunities
• Charmonium
• Higher Charmonia and X,Y,Z states with Screened Potential
• The Exotic XYZ Charmonium-like Mesons
• Excited and exotic charmonium spectroscopy from lattice QCD
• Quarkonia and their transitions
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Charmonium excited state spectrum in lattice QCD
• Potential model calculations and predictions for heavy quarkonium
• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Properties of $Q\bar{Q}$ mesons in non-relativistic QCD formalism
• Measurement of the Bc meson mass in the exclusive decay Bc --> Jpsi Pi
• Dynamic Properties of Charmonium
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• The newly observed open-charm states in quark model
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Spectra of heavy mesons in the Bethe-Salpeter approach
• Two Photon Decays of Charmonia from Lattice QCD
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Properties of $Q\bar{Q}$ $(Q\epsilon b,c)$ mesons in Coulomb plus Power potential
• Measurement of the gamma gamma* --> eta_c transition form factor
• Leptonic and Digamma decay Properties of S-wave quarkonia states
• The bottomonium spectrum from lattice QCD with 2+1 flavors of domain wall fermions
• Two-photon width of eta_c and eta'_c from Heavy-Quark Spin Symmetry
• $c\bar{b}$ spectrum and decay properties with coupled channel effects
• Linear confinement in momentum space: singularity-free bound-state equations
• Decay rates of quarkonia with NRQCD formalism using spectroscopic parameters of potential models
• Light-front potential for heavy quarkonia constrained by the holographic soft-wall model

Cited by in corpus (52)

• Mesons with Beauty and Charm: New Horizons in Spectroscopy
• The excited bottom-charmed mesons in a nonrelativistic quark model
• Spectroscopy of ${\mathbf{B}}_{\mathbf{c}}$ mesons and the possibility of finding exotic ${\mathbf{B}}_{\mathbf{c}}$-like structures
• Bottomonium spectrum in the relativistic flux tube model
• Cornell Potential: A Neural Network Approach
• Quarkonium spectroscopy of the linear plus modified Yukawa potential
• $B_c$ Meson Spectrum Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach
• Radiative decays and magnetic moments of the predicted $B_c$-like molecules
• $B_c$ excitations at LHC experiments
• Precision measurement of the $B_c^{+}$ meson mass
• Higher states of the $B_c$ meson family
• $B_c$ meson spectroscopy motivated by general features of pNRQCD
• The $B_c$ meson and its scalar cousin with the QCD sum rules
• The bottom-charmed meson spectrum from a QCD approach based on Tamm--Dancoff approximation
• Purely leptonic decays of the ground charged vector mesons
• Properties of excited $B_c$ states in QCD
• Self-consistent $M1$ radiative transitions of excited $B_c$ and heavy quarkonia with different polarizations in the light-front quark model
• Bottomonium spectroscopy motivated by general features of pNRQCD
• Revisiting the Heavy Vector Quarkonium Leptonic Widths
• Excited $B_c$ States via Continuum QCD
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Partial wave effects in the heavy quarkonium radiative electromagnetic decays
• Decay Properties of Conventional and Hybrid Charmonium Mesons
• Tetraquarks in the Born-Oppenheimer approximation
• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
• Bottomonia in an unquenched quark model
• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations
• Quantum information entropy of heavy mesons in the presence of a point-like defect
• Complete analytical solution to the Cornell potential and heavy quarkonium structure
• Observation of orbitally excited $B_c^{+}$ states
• Spectroscopy of heavy-heavy flavour mesons and annihilation widths of quarkonia
• The Radial Excited Heavy Mesons
• Properties of Bc Mesons and Variational Constraints on their Masses
• Predictions for Bottomonium from a Relativistic Screened Potential Model
• M1 Radiative and spin-nonflip $\pi \pi$ transitions of $B_c$ states in the Cornell potential model
• Holographic quark masses and radiative decays of heavy vector mesons
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Production of $D$-wave states of $\bar{b}c$ quarkonium at the LHC
• Study of $B_c(1P{)}^{+}$ states in the $B_c^{+}\gamma$ mass spectrum
• Holography and the internal structure of charmonium
• Hard confinement of a two-particle quantum system using the variational method
• Simple high-accuracy method for solving bound-state equations with the Cornell potential in momentum space
• The Properties of Radially Excited Charmonia in The Light Front Quark Model
• Confinement of Fermions in Tachyon Matter at Finite Temperature
• Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra
• Mass spectroscopy of charmonium using a screened potential
• Beauty Hadron Spectrum in a Screened Potential Model
• Systematic analysis of the D-wave charmonium states with the QCD sum rules
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach
• Relativistic effects in heavy mesons
• Prospects for observing the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay at the HL-LHC