$P$-wave coupled-channel scattering of $B_s\pi ,B_s^{\ast }\pi ,B\overline{K},B^{\ast }\overline{K}$ and the puzzling $X(5568)$

Abstract

The D0 Collaboration has recently reported a narrow peak structure in the $B_s^0{\pi }^{\pm }$ invariant-mass spectrum, that is called $X(5568)$. Its proposed quantum numbers $J^P=0^{+}/1^{+}$ are not determined unambiguously, and we show that one can fit the data assuming $J^P=1^{-}$ with the same mass and width for the resonance signal. The corresponding isovector $P$-wave coupled-channel scattering involving the states $B_s\pi$, $B_s^{\ast }\pi$, $B\overline{K}$ and $B^{\ast }\overline{K}$ is studied employing leading-order Heavy Meson Chiral Perturbation Theory, which is then unitarized making use of standard techniques from Unitary Chiral Perturbation Theory. The subtraction constants that appear in the unitarization process are determined by a $u$-channel crossing symmetry constraint or by naturalness arguments, being the numerical values obtained in both cases quite closed, and no further freedom is left in the model. A crucial point is that if the $X(5568)$ is $1^{-}$ and decaying into $B_s^0{\pi }^{\pm }$ then it should appear as a pole in the $T$-matrix elements. It finally turns out that no $X(5568)$ pole is found that can be qualified as dynamically generated from the isovector $P$-wave coupled-channel dynamics. This result disfavors the interpretation of the $X(5568)$ within a "molecular" picture.

10 pages, 3 figures

References in corpus (8)

• Chiral effective field theory and nuclear forces
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• How the X(5568) challenges our understanding of QCD
• $X(5568)$ and and its partner states
• Can $X(5568)$ be described as a $B_s\pi$, $B\bar{K}$ resonant state?
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Study of CP violation in ${\Lambda }_c^{+}$ decay
• Could the observation of $X(5568)$ be resulted by the near threshold rescattering effects?

Cited by in corpus (32)

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• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Understanding spin parity of $P_c(4450)$ and $Y(4274)$ in a hadronic molecular state picture
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
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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 $B_c\to B_s\pi \pi$
• Triply heavy $QQ\bar{Q}\bar{q}$ tetraquark states
• Compositeness of $T_{cc}$ and $X(3872)$ by considering decay and coupled-channels effects
• Testing the doubly charged charm-strange tetraquarks
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
• searches for ud\bar{s}\bar{b} in the chiral quark model
• Study of X(5568) in a unitary coupled-channel approximation of $B\bar{K}$ and $B_s\pi$
• Estimating decay rate of $X^{\pm }(5568)\to B_s{\pi }^{\pm }$ while assuming them to be molecular states
• $J/\psi N$ interactions revisited and ${\Lambda }_b^0\to J/\psi K^{-}({\pi }^{-})p$ decays
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• Mass Spectrum of Exotic X(5568) State via Artificial Neural Network
• The possible $B\pi$ molecular state and its radiative decay