$B\to {\chi }_{c1}(1P,2P)K$ decays in QCD factorization and X(3872)

Abstract

$B\to {\chi }_{c1}(1P,2P)K$ decays are studied in QCD factorization by treating charmonia as nonrelativistic bound states. No infrared divergences exist in the vertex corrections, while the logarithmic end-point singularities in the hard spectator corrections can be regularized by a momentum cutoff. With certain uncertainties we find that the $B\to {\chi }_{c1}(2P)K$ decay rate can be comparable to $B\to {\chi }_{c1}(1P)K$, and get $Br(B^0\to {\chi }_{c1}^{\prime }{K}^0)=Br(B^{+}\to {\chi }_{c1}^{\prime }{K}^{+})\approx 2\times 10^{-4}$. This might imply a possible interpretation for the newly discovered X(3872) that this state has a dominant $J^{PC}=1^{++}(2P)$ $c\bar{c}$ component but mixed with a substantial $D^0{\bar{D}}^{\ast 0}+D^{\ast 0}{\bar{D}}^0$ continuum component.

5 pages, one figure, new value of decay constant f_B=216 Mev used; references added

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Cited by in corpus (38)

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• Hadronic molecules in B decays
• X(3872) in the molecular model
• Deciphering the nature of X(3872) in heavy ion collisions
• X(3872) and its production at hadron colliders
• A Refined Analysis on the $X(3872)$ Resonance
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Prediction of a narrow exotic hadronic state with quantum numbers $J^{PC}=0^{--}$
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• Measurement of ${\chi }_{c1}(3872)$ production in proton-proton collisions at $\sqrt{s}=8$ and $13$ TeV
• How to identify the structure of near-threshold states from the line shape
• The nature of $Z_b$ states from a combined analysis of ${\rm Y}(5S)\to h_b(mP){\pi }^{+}{\pi }^{-}$ and ${\rm Y}(5S)\to B^{(\ast )}{\bar{B}}^{(\ast )}\pi$
• Branching fractions of $B_{(c)}$ decays involving $J/\psi$ and $X(3872)$
• X(3872) as a molecular $D{\bar{D}}^{\ast }$ state in the Bethe-Salpeter equation approach
• Deciphering the $X(3872)$ via its polarization in prompt production at the CERN LHC
• Radially Excited States of ${\eta }_c$
• Covalent hadronic molecules induced by shared light quarks
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Decay properties of the $X(3872)$ through the Fierz rearrangement
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Investigating the Isospin Property of $T_{cc}^{+}$ from its Dalitz Plot Distribution
• Study of $e^{+}{e}^{-}\to \omega X(3872)$ and $\gamma X(3872)$ from 4.66 to 4.95 GeV
• The $D{\bar{D}}^{\ast }$ interaction with isospin zero in an extended hidden gauge symmetry approach
• Studies of $X(3872)$ and $\psi (2S)$ production in $p\bar{p}$ collisions at 1.96 TeV
• Revisiting nonfactorizable contributions to factorization-forbidden decays of $B$ mesons to charmonium
• $S$-wave contributions to the $B_{(s)}\to {\chi }_{c1}(\pi \pi ,K\pi ,KK)$ decays
• Branching ratios and $CP$ asymmetries of $B\to {\chi }_{c1}K(\pi )$ decays
• Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$
• Study the Heavy Molecular States in Quark Model with Meson Exchange Interaction
• Structure of $X_b$ from line shape analysis
• Insights into the nature of the $X(3872)$ through B meson decays
• Unified study of $B_s^0\to X(3872){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ and $B_s^0\to \psi (2S){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ processes
• The hidden-charm multiquark states