Towards the discovery of novel $B_c$ states: radiative and hadronic transitions

Abstract

The properties of the $B_c$-meson family ($c\bar{b}$) are still not well determined experimentally because the specific mechanisms of formation and decay remain poorly understood. Unlike heavy quarkonia, i.e. the hidden heavy quark-antiquark sectors of charmonium ($c\bar{c}$) and bottomonium ($b\bar{b}$), the $B_c$-mesons cannot annihilate into gluons and they are, consequently, more stable. The excited $B_c$ states, lying below the lowest strong-decay $BD$-threshold, can only undergo through radiative decays and hadronic transitions to the $B_c$ ground state, which then decays weakly. As a result of this, a rich spectrum of narrow excited states below the $BD$-threshold appear, whose total widths are two orders of magnitude smaller than those of the excited levels of charmonium and bottomonium. In a different article, we determined bottom-charmed meson masses using a non-relativistic constituent quark model which has been applied to a wide range of hadron physical observables, and thus the model parameters are completely constrained. Herein, continuing to our study of the $B_c$ sector, we calculate the relevant radiative decay widths and hadronic transition rates between $c\bar{b}$ states which are below $BD$-threshold. This shall provide the most promising signals for discovering excited $B_c$ states that are below the lowest strong-decay $BD$-threshold. Finally, our results are compared with other models to measure the reliability of the predictions and point out differences.

arXiv comment13 pages, 9 tables. arXiv admin note: text overlap with arXiv:1601.05093

References in corpus (75)

• Heavy quarkonium: progress, puzzles, and opportunities
• QCD forces and heavy quark bound states
• QCD and strongly coupled gauge theories: challenges and perspectives
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Mesons with Beauty and Charm: Spectroscopy
• Constituent quark model study of the meson spectra
• Observation of String Breaking in QCD
• Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Excited and exotic charmonium spectroscopy from lattice QCD
• Molecular States of Heavy Quark Mesons
• Observation of B_c Mesons in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Spectroscopy of B_c Mesons in the Relativized Quark Model
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• Radiative Transitions in Charmonium from Lattice QCD
• Heavy Mesons In A Relativistic Model
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• Bottomonium spectrum revisited
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Quarkonium Hybrids with Nonrelativistic Effective Field Theories
• Coupled-Channel and Screening Effects in Charmonium Spectrum
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Observation of an Excited $B_c^{\pm }$ Meson State with the ATLAS Detector
• 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
• Constituent quark model description of charmonium phenomenology
• Phenomenological prediction of the properties of the B_{C} system
• A New Hadron Spectroscopy
• Mass of the B_c Meson in Three-Flavor Lattice QCD
• QCD Multipole Expansion and Hadronic Transitions in Heavy Quarkonium Systems
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Scaling of the 3P0 strength in heavy meson strong decays
• Lattice QCD study of the radiative decays $J/\psi \to {\eta }_c\gamma$ and $h_c\to {\eta }_c\gamma$
• Mesons with Beauty and Charm: New Horizons in Spectroscopy
• Spectroscopy of $B_c$ meson in a semi-relativistic quark model using the shifted large-N expansion method
• Observation of an excited $B_c^{+}$ state
• The structure of pentaquarks $P_c^{+}$ in the chiral quark model
• Triply-heavy baryons in a constituent quark model
• Spin structure of heavy-quark hybrids
• Bc spectroscopy in a quantum-chromodynamic potential model
• The $B_c$ mass up to order ${\alpha }_s^4$
• The excited bottom-charmed mesons in a nonrelativistic quark model
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
• Molecular structures in charmonium spectrum: The $XYZ$ puzzle
• Adjoint string breaking in 4d SU(2) Yang-Mills theory
• String Breaking in Lattice Quantum Chromodynamics
• Canonical description of the new LHCb resonances
• QCD spin effects in the heavy hybrid potentials and spectra
• Improved determination of Heavy Quarkonium magnetic dipole transitions in pNRQCD
• $M(B_c^{\ast })-M(B_c)$ Splitting from Nonrelativistic Renormalization Group
• Hidden-Bottom Pentaquarks
• Spectroscopy of ${\mathbf{B}}_{\mathbf{c}}$ mesons and the possibility of finding exotic ${\mathbf{B}}_{\mathbf{c}}$-like structures
• Analysis of the vector and axialvector $B_c$ mesons with QCD sum rules
• The charm/bottom quark mass from heavy quarkonium at N${}^3$LO
• The $Z_c$ structures in a coupled-channels model
• Charmed-strange Meson Spectrum: Old and New Problems
• Exotic to standard bottomonium transitions
• Doubly Charmed Pentaquarks
• Mass Spectra of Heavy Quarkonia and B_{c} Decay Constant for Static Scalar-Vector Interactions with Relativistic Kinematics
• B_{c} and heavy meson spectroscopy in the local approximation of the Schrodinger equation with relativistic kinematics
• The $\mathbf{sQ}\bar{\mathbf{q}}\bar{\mathbf{q}}$ $(\mathbf{q}=\mathbf{u},\mathbf{d};\mathbf{Q}=\mathbf{c},\mathbf{b})$ tetraquarks in the chiral quark model
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Puzzles in hadronic transitions of heavy quarkonium with two pion emission
• Screened potential and the baryon spectrum
• Strong charmonium decays in a microscopic model
• $B_c$ Meson Spectrum Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach
• A very broad X(4260) and the resonance parameters of the 3D vector charmonium state
• Excited and exotic bottomonium spectroscopy from lattice QCD
• P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• Unquenching the Quark Model and Screened Potentials
• The radiative decays $B_c^{\ast \pm }\to B_c^{\pm }\gamma$ with QCD sum rules
• Novel implementation of the multipole expansion to quarkonium hadronic transitions
• Effect of Color Screening on Heavy Quarkonia Regge Trajectories
• Electric dipole transitions of $1P$ bottomonia
• The $Z_b$ structures in a constituent quark model coupled-channels calculation
• Can the hyperfine mass splitting formula in heavy quarkonia be applied to the $B_c$ system?
• The role of spin-flipping terms in hadronic transitions of ${\rm Y}(4S)$

Cited by in corpus (12)

• Nature of the doubly-charmed tetraquark $T_{cc}^{+}$ in a constituent quark model
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Three-loop matching coefficients for heavy flavor-changing currents and the phenomenological applications
• Highly excited $B$, $B_s$ and $B_c$ meson spectroscopy from lattice QCD
• M1 Radiative and spin-nonflip $\pi \pi$ transitions of $B_c$ states in the Cornell potential model
• Observation of orbitally excited $B_c^{+}$ states
• Parton distribution functions of ground state mesons composed of $c$ or $b$ quarks
• In-medium mass shift of two-flavored heavy mesons, $B_c$, $B_c^{\ast }$, $B_s$, $B_s^{\ast }$, $D_s$ and $D_s^{\ast }$
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Study of $B_c(1P{)}^{+}$ states in the $B_c^{+}\gamma$ mass spectrum
• Chromopolarizability of charm-beauty quarkonium from $B_c(2S)\to B_c\pi \pi$ transition
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach