Magnetic Dipole Transitions of $B_c$ and $B_c^{\ast }$ mesons in the Relativistic Independent Quark Model

Abstract

We study M1-transitions involving mesons: $B_c(1s)$, $B_c^{\ast }(1s)$, $B_c(2s)$, $B_c^{\ast }(2s)$, $B_c(3s)$ and $B_c^{\ast }(3s)$ in the relativistic independent quark (RIQ) model based on a flavor independent average potential in the scalar-vector harmonic form. The transition form factor for $B_c^{\ast }\to B_c\gamma$ is found to have analytical continuation from spacelike to physical timelike region. Our predicted coupling constant $g_{B_c^{\ast }{B}_c}$ = 0.34 Ge$V^{-1}$ and decay width $\Gamma (B_c^{\ast }\to B_c\gamma )$ = 23 eV agree with other model predictions. In view of possible observation of $B_c$ and $B_c^{\ast }$ s-wave states at LHC and Z-factory and potential use of theoretical estimate on M1-transitions, we investigate the allowed as well as hindered transitions of orbitally excited $B_c$-meson states and predict their decay widths in overall agreement with other model predictions. We consider the typical case of $B_c^{\ast }(1s)\to B_c(1s)\gamma$, where our predicted decay width which is found quite sensitive to the mass difference between $B_c^{\ast }$ and $B_c$ mesons may help in determining the mass of $B_c^{\ast }$ experimentally.

References in corpus (25)

• Heavy quarkonium: progress, puzzles, and opportunities
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Mesons with Beauty and Charm: Spectroscopy
• 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
• $B_c$ spectroscopy
• B_c Decays and Lifetime in QCD Sum Rules
• Physics of B_c mesons
• Observation of the Decay $B_c^{\pm }\to J/\psi {\pi }^{\pm }$ and Measurement of the $B_c^{\pm }$ Mass
• The $B_c$ Meson Lifetime
• Observation of an Excited $B_c^{\pm }$ Meson State with the ATLAS Detector
• Measurement of the Bc meson mass in the exclusive decay Bc --> Jpsi Pi
• Phenomenological prediction of the properties of the B_{C} system
• The B_c Meson Lifetime in the Light--Front Constituent Quark Model
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Measurement of the B_c Meson Lifetime Using B_c ->J/Psi e nu
• Bc spectroscopy in a quantum-chromodynamic potential model
• Measurement of the lifetime of the B_c meson in the semileptonic decay channel
• The lifetime of B_c-meson and some relevant problems
• Measurement of the $B_c^{+}$ meson lifetime using $B_c^{+}\to J/\psi {\mu }^{+}{\nu }_{\mu }X$ decays
• $B_c$ meson production at the Tevatron Revisited
• The radiative decays $B_c^{\ast \pm }\to B_c^{\pm }\gamma$ with QCD sum rules
• Study of the $B_c$-meson lifetime
• Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms){\pi }^{+}{\pi }^{-}$ transition at LHCb and $Z_0$ factory
• b quark Electric Dipole moment in the general two Higgs Doublet and three Higgs Doublet models

Cited by in corpus (9)

• The excited bottom-charmed mesons in a nonrelativistic quark model
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Semi-leptonic decays of $B^{\ast }$, $B_s^{\ast }$, and $B_c^{\ast }$ with the Bethe-Salpeter method
• Electromagnetic transitions of $(b\bar{c})$ bound system
• A Light shed on Lepton Flavor Universality in B decays
• Searching $B_c^{\ast }$ via conservation laws
• $B_c^{\ast }$ meson parameters and radiative decay width within the covariant confined quark model
• Assessing Lepton Flavor Universality Violations in Semileptonic Decays
• Study of angular observables in exclusive semileptonic $B_c$ decays