Can $X(5568)$ be described as a $B_s\pi$, $B\bar{K}$ resonant state?

Abstract

The D0 Collaboration has recently seen a resonant-like peak in the $B_s\pi$ invariant mass spectrum, claimed to be a new state called $X(5568)$. Using a $B_s\pi$--$B\bar{K}$ coupled channel analysis, implementing unitarity, and with the interaction derived from Heavy Meson Chiral Perturbation Theory, we are able to reproduce the reported spectrum, with a pole that can be associated to the claimed $X(5568)$ state, and with mass and width in agreement with the ones reported in the experimental analysis. However, if the $T$-matrix regularization is performed by means of a momentum cutoff, the value for the latter needed to reproduce the spectrum is $\Lambda =2.80\pm 0.04\text{GeV}$, much larger than a "natural" value $\Lambda \simeq 1\text{GeV}$. In view of this, it is difficult to interpret the nature of this new state. This state would not qualify as a resonance dynamically generated by the unitarity loops. Assuming the observed peak to correspond to a physical state, we make predictions for partners in the $D$, $D^{\ast }$, and $B^{\ast }$ sectors. Their observation (or lack thereof) would shed light into this issue.

References in corpus (3)

• Big-Bang Nucleosynthesis
• A New Hadron Spectroscopy
• Could the observation of $X(5568)$ be resulted by the near threshold rescattering effects?

Cited by in corpus (40)

• The $XYZ$ states: experimental and theoretical status and perspectives
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• Exotic Hadrons from Heavy Ion Collisions
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• Two-pole structure of the $D_0^{\ast }(2400)$
• Open charm and bottom tetraquarks in an extended relativized quark model
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• Spectrum and rearrangement decays of tetraquark states with four different flavors
• Four-quark structure of Zc(3900), Z(4430) and Xb(5568) states
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• ${\Xi }_c$ and ${\Xi }_b$ excited states within a ${\mathrm{SU}(6)}_{\mathrm{lsf}}\times$HQSS model
• $P$-wave coupled-channel scattering of $B_s\pi ,B_s^{\ast }\pi ,B\overline{K},B^{\ast }\overline{K}$ and the puzzling $X(5568)$
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• Triply heavy tetraquark states with the $QQ\bar{Q}\bar{q}$ configuration
• Open-flavor charmed/bottom $sq\bar{q}\bar{Q}$ and $qq\bar{q}\bar{Q}$ tetraquark states
• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
• Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?
• On the nature of the lowest-lying odd parity charmed baryon ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$ resonances
• The decays of the fully open flavor state $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario
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• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Generating a resonance-like structure in the reaction $B_c\to B_s\pi \pi$
• Production of Charmed Tetraquarks from $B_c$ and $B$ decays
• Testing the doubly charged charm-strange tetraquarks
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
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• Estimating decay rate of $X^{\pm }(5568)\to B_s{\pi }^{\pm }$ while assuming them to be molecular states
• Study of X(5568) in a unitary coupled-channel approximation of $B\bar{K}$ and $B_s\pi$
• Resonance $X(5568)$ as an exotic axial-vector state
• Exploring the mass spectrum and the electromagnetic properties of the possible ${\Xi }_{cc}{K}^{(\ast )}$ and ${\Xi }_{cc}{\bar{K}}^{(\ast )}$ molecules
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• The possible $B\pi$ molecular state and its radiative decay
• A coupled-channel perspective analysis on bottom-strange molecular pentaquarks
• Chiral excitations of open-beauty systems
• X, Y and Z States