Transitions of $B_c\to \psi (1S,2S)$ and the modified harmonic oscillator wave function in LFQM

Abstract

The LHC${}_b$ collaboration has systematically measured the rates of $B_c\to J/\psi K$, $B_c\to J/\psi D_s$, $B_c\to J/\psi D_s^{\ast }$ and $B_c\to \psi (2S)\pi$. The new data enable us to study relevant theoretical models and further determine the model parameters. In this work, We calculate the form factors for the transitions $B_c\to J/\psi$ and $B_c\to \psi (2S)$ numerically, then determine the partial widths of the semi-leptonic and non-leptonic decays. The theoretical predictions on the ratios of $\Gamma (B_c\to J/\psi K)/\Gamma (B_c\to J/\psi \pi )$, $\Gamma (B_c\to J/\psi D_s)/\Gamma (B_c\to J/\psi \pi )$ and $\Gamma (B_c\to J/\psi D_s^{\ast })/\Gamma (B_c\to J/\psi \pi )$ are consistent with data within only 1$\sigma$. Especially, for calculating $\Gamma (B_c\to \psi (2S)X)$ the modified harmonic oscillator wave function (HOWF) which we developed in early works is employed and the results indicate that the modified harmonic oscillator wave function works better than the traditional HOWF.

9 pages, 1 figure, 3 tables

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Cited by in corpus (30)

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• Semileptonic decays of $B_c$ meson to S-wave charmonium states in the perturbative QCD approach
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Measurement of the ratio of $B_c^{+}$ branching fractions to $J/\psi {\pi }^{+}$ and $J/\psi {\mu }^{+}{\nu }_{\mu }$
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• Semileptonic decays $B_c\to ({\eta }_c,J/\psi )l{\bar{\nu }}_l$ in the "PQCD + Lattice" approach
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
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• Relativistic corrections to the form factors of $B_c$ into $P$-wave orbitally excited charmonium
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Improved perturbative QCD formalism for $B_c$ meson decays
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Probing the $P$-wave charmonium decays of $B_c$ meson
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Measurement of the $B_c^{\pm }$ production cross section in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV
• Next-to-leading order QCD calculation of $B_c$ to charmonium tensor form factors
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Exclusive semileptonic $B_c$-meson decays to radially excited charmonium and charm meson states
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry
• Electroweak, QCD and flavour physics studies with ATLAS data from Run 2 of the LHC
• Numerical analysis of the production of $D^{(\ast )}(3000)$, $D_{sJ}(3040)$ and their partners through the semileptonic decays of $B_{(s)}$ mesons in terms of the light-front quark model
• $B_c\to J/\psi$ helicity form factors and the $B_c^{+}\to J/\psi +(P,V,{\ell }^{+}{\nu }_{\ell })$ decays
• Study of $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$ decays in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Study on radiative decays of $D_{sJ}^{\ast }(2860)$ and $D_{s1}^{\ast }(2710)$ into $D_s$ by means of LFQM
• Determining the effective Wilson coefficient $a_2$ in terms of $BR(B_s\to {\eta }_c\varphi )$ and evaluating $BR(B_s\to {\eta }_c{f}_0(980))$
• Study of $B_c\to \psi (2S)K$, ${\eta }_c(2S)K$, $\psi (3770)K$ decays with perturbative QCD approach
• Study of $B_c\to J/\psi (a_1(1260)$, $b_1(1235)$, $a_2(1320)$, $K_2^{\ast }(1430))$ decay with a perturbative QCD approach