Estimating decay rate of $X^{\pm }(5568)\to B_s{\pi }^{\pm }$ while assuming them to be molecular states

Abstract

Discovery of $X(5568)$ brings up a tremendous interest because it is very special, i.e. made of four different flavors. The D0 collaboration claimed that they observed this resonance through portal $X(5568)\to B_s\pi$, but unfortunately, later the LHCb, CMS, CDF and ATLAS collaborations' reports indicate that no such state was found. Almost on the Eve of 2017, the D0 collaboration reconfirmed existence of $X(5568)$ via the semileptonic decay of $B_s$. To further reveal the discrepancy, supposing $X(5568)$ as a molecular state, we calculate the decay rate of $X(5568)\to B_s{\pi }^{+}$ in an extended light front model. Numerically, the theoretically predicted decay width of $\Gamma (X(5568)\to B_s{\pi }^{+})$ is $20.28$ MeV which is consistent with the result of the D0 collaboration ($\Gamma =18.6_{-6.1}^{+7.9}(stat{)}_{-3.8}^{+3.5}(syst)$ MeV). Since the resonance is narrow, signals might be drowned in a messy background. In analog, two open-charm molecular states $DK$ and $BD$ named as $X_a$ and $X_b$, could be in the same situation. The rates of $X_a\to D_s{\pi }^0$ and $X_b\to B_c{\pi }^0$ are estimated as about 30 MeV and 20 MeV respectively. We suggest the experimental collaborations round the world to search for these two modes and accurate measurements may provide us with valuable information.

13 pages and 4 figures, accepted by EPJC

References in corpus (14)

• Decay constants and radiative decays of heavy mesons in light-front quark model
• Heavy-to-light form factors on the light cone
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• Search for structure in the $B_s^0{\pi }^{\pm }$ invariant mass spectrum
• Diquarks and Λ_{b}\toΛ_c weak decays
• Analysis of the vertices $D^{\ast }{D}_{s}K$, $D_s^{\ast }DK$,$D_0{D}_{s}K$ and $D_{s0}DK$ with the light-cone QCD sum rules
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• $B_s\to D_s(3040)$ form factors and $B_s$ decays into $D_s(3040)$
• ${\Sigma }_b\to {\Sigma }_c$ and ${\Omega }_b\to {\Omega }_c$ weak decays in the light-front quark model
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Re-Study on the wave functions of ${\rm Y}(nS)$ states in LFQM and the radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$
• Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?
• Where does the X(5568) structure come from?
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$

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