The magnetic dipole transitions in the $(c\bar{b})$ binding system

Abstract

The magnetic dipole transitions between the vector mesons $B_c^{\ast }$ and their relevant pseudoscalar mesons $B_c$ ($B_c$, $B_c^{\ast }$, $B_c(2S)$, $B_c^{\ast }(2S)$, $B_c(3S)$ and $B_c^{\ast }(3S)$ etc, the binding states of $(c\bar{b})$ system) of the $B_c$ family are interesting. To see the `hyperfine' splitting due to spin-spin interaction is an important topic for understanding the spin-spin interaction and the spectrum of the the $(c\bar{b})$ binding system. The knowledge about the magnetic dipole transitions is also very useful for identifying the vector boson $B_c^{\ast }$ mesons experimentally, whose masses are just slightly above the masses of their relevant pseudoscalar mesons $B_c$ accordingly. Considering the possibility to observe the vector mesons via the transitions at $Z^0$ factory and the potentially usages of the theoretical estimate on the transitions, we fucus our efforts on calculating the magnetic dipole transitions, i.e. precisely to calculate the rates for the transitions such as decays $B_c^{\ast }\to B_c\gamma$ and $B_c^{\ast }\to B_c{e}^{+}{e}^{-}$, and particularly work in the Behte-Salpeter framework. In the estimate, as a typical example, we carefully investigate the dependance of the rate $\Gamma (B_c^{\ast }\to B_c\gamma )$ on the mass difference $\Delta M=M_{B_c^{\ast }}-M_{B_c}$ as well.

10 pages, 2 figures, 1 table

References in corpus (15)

• B_c Decays and Lifetime in QCD Sum Rules
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Decay Constants of Heavy Vector Mesons in Relativistic Bethe-Salpeter Method
• The $B_c$ Meson Lifetime
• The B_c Meson Lifetime in the Light--Front Constituent Quark Model
• QCD Multipole Expansion and Hadronic Transitions in Heavy Quarkonium Systems
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• The lifetime of B_c-meson and some relevant problems
• Search for the B_c Meson in Hadronic Z^0 Decays
• $B_c$ meson production at the Tevatron Revisited
• Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids
• 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

Cited by in corpus (2)

• A review of the open charm and open bottom systems
• Re-study on the contribution of scalar potential and spectra of $c\bar{c}$, $b\bar{b}$ and $b\bar{c}(\bar{b}c)$ families