Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model

Abstract

In this article, the mass spectra of mesons with one or two heavy quarks and their diquarks partners are estimated within a non-relativistic framework by solving Schrödinger equation with an effective potential inspired by a symmetry preserving Poincaré covariant vector-vector contact interaction model of quantum chromodynamics. Matrix Numerov method is implemented for this purpose. In our survey of mesons with heavy quarks, we fix the model parameter to the masses of ground-states and then extend our calculations for radial excitations and diquarks. The potential model used in this work gives results which are in good agreement with experimental data and other theoretical calculations.

arXiv comment15 pages, 5 figures, 6 tables

References in corpus (46)

• Big-Bang Nucleosynthesis
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Heavy-Quark QCD Exotica
• The New Heavy Mesons: A Status Report
• Mesons with Beauty and Charm: Spectroscopy
• A review of the open charm and open bottom systems
• Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV
• The QCD Running Coupling
• The New Pentaquarks in the Diquark Model
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Properties of Excited Charm and Charm-Strange Mesons
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• Abelian anomaly and neutral pion production
• Process-independent strong running coupling
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Bottomonium spectrum revisited
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Pion form factor from a contact interaction
• Masses of ground and excited-state hadrons
• Observation of two excited B${}_{\mathrm{c}}^{+}$ states and measurement of the B${}_{\mathrm{c}}^{+}$(2S) mass in pp collisions at $\sqrt{s}=$ 13 TeV
• $B$ and $B_s$ Meson Spectroscopy
• Spectrum of hadrons with strangeness
• Locating the Gribov horizon
• Excited bottom and bottom-strange mesons in the quark model
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Mesons with Beauty and Charm: New Horizons in Spectroscopy
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• $B_c$ Spectroscopy from Lattice QCD
• Dynamical chiral symmetry breaking and a critical mass
• The excited bottom-charmed mesons in a nonrelativistic quark model
• Hadron Systematics and Emergent Diquarks
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Charmonia in a Contact Interaction
• Charmed mesons with a symmetry-preserving contact interaction
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• Parity partners in the baryon resonance spectrum
• Evidence of ghost suppression in gluon mass dynamics
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Spectrum and structure of octet and decuplet baryons and their positive-parity excitations
• Heavy quark symmetry: ideas and applications
• $B_c$ Meson Spectrum Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach
• Spin Averaged Mass Spectrum of Heavy Quarkonium via Asymptotic Iteration Method
• Properties of Bc Mesons and Variational Constraints on their Masses

Cited by in corpus (2)

• Regge trajectories for the heavy-light diquarks
• Study of charm and beauty mass spectra, semileptonic decays of $B_{(s,c)}$ and $B_c\to J/\psi ({\eta }_c)+P(V)$ in a phenomenological potential model