The excited bottom-charmed mesons in a nonrelativistic quark model

Abstract

Using the newly measured masses of $B_c(1S)$ and $B_c(2S)$ from the CMS Collaboration and the $1S$ hyperfine splitting determined from the lattice QCD as constrains, we calculate the $B_c$ mass spectrum up to the $6S$ multiplet with a nonrelativistic linear potential model. Furthermore, using the wave functions from this model we calculate the radiative transitions between the $B_c$ states within a constituent quark model. For the higher mass $B_c$ states lying above $DB$ threshold, we also evaluate the Okubo-Zweig-Iizuka (OZI) allowed two-body strong decays with the ${}^3{P}_0$ model. Our study indicates that besides there are large potentials for the observations of the low-lying $B_c$ states below the $DB$ threshold via their radiative transitions, some higher mass $B_c$ states, such as $B_c(2^3{P}_2)$, $B_c(2^3{D}_1)$, $B_c(3^3{D}_1)$, $B_c(4^3{P}_0)$, and the $1F$-wave $B_c$ states, might be first observed in their dominant strong decay channels $DB$, $D{B}^{\ast }$ or $D^{\ast }B$ at the LHC for their relatively narrow widths.

19 pages, 15 tables

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• Higher states of the $B_c$ meson family
• 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
• Finding $B_c(3S)$ States via Their Strong Decays
• Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model
• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
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• Higgs boson decays to $B_c$ meson in the fragmentation-function approach
• Bottomonia in an unquenched quark model
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays
• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• Searching $B_c^{\ast }$ via conservation laws
• M1 Radiative and spin-nonflip $\pi \pi$ transitions of $B_c$ states in the Cornell potential model
• Observation of orbitally excited $B_c^{+}$ states
• Fully-heavy tetraquarks in the vacuum and in a hot environment
• The Radial Excited Heavy Mesons
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Phenomenology of $D_{s1}$ mesons radiative transitions
• Study of $B_c(1P{)}^{+}$ states in the $B_c^{+}\gamma$ mass spectrum
• Spectroscopy and Decay Properties of Excited Charmonium States
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach