Nature of the X(5568) : a critical Laplace sum rule analysis at N2LO

Abstract

We scrutinize recent QCD spectral sum rules (QSSR) results to lowest order (LO) predicting the masses of the BK molecule and (su)\bar(bd) four-quark states. We improve these results by adding NLO and N2LO corrections to the PT contributions giving a more precise meaning on the b-quark mass definition used in the analysis. We extract our optimal predictions using Laplace sum rule (LSR) within the standard stability criteria versus the changes of the external free parameters (τ-sum rule variable, t_c continuum threshold and subtraction constant μ). The smallness of the higher order PT corrections justifies (a posteriori) the LO order results + the uses of the ambiguous heavy quark mass to that order. However, our predicted spectra in the range (5173\sim 5226) MeV, summarized in Table 7, for exotic hadrons built with four different flavours (buds), do not support some previous interpretations of the D0 candidate[1], X(5568), as a pure molecule or a four-quark state. If experimentally confirmed, it could result from their mixing with an angle: sin 2θ\approx 0.15. One can also scan the region (2327~ 2444) MeV (where the D*_{s0}(2317) might be a good candidate) and the one (5173~ 5226) MeV for detecting these (cuds) and (buds) unmixed exotic hadrons (if any) via, eventually, their radiative or π+hadrons decays.

arXiv commentVersion matching with the publised version : some references added and updated, comments added, misprint corrected (51 pages, 66 figures, 7 tables)

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• The $XYZ$ states: experimental and theoretical status and perspectives
• A review of the open charm and open bottom systems
• Exotic Hadrons from Heavy Ion Collisions
• Heavy-flavored tetraquark states with the $QQ\bar{Q}\bar{Q}$ configuration
• Doubly-hidden scalar heavy molecules and tetraquarks states from QCD at NLO
• QCD Parameters Correlations from Heavy Quarkonia
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• Spectrum and rearrangement decays of tetraquark states with four different flavors
• $X_{0,1}$(2900) and $(D^{-}{K}^{+})$ invariant mass from QCD Laplace sum rules at NLO
• Z_c -like spectra from QCD Laplace sum rules at NLO
• An open charm tetraquark candidate: note on $X_0(2900)$
• Exploring a ${\Sigma }_c\bar{D}$ state: with focus on $P_c(4312{)}^{+}$
• 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
• Where does the X(5568) structure come from?
• XYZ-SU3 Breakings from Laplace Sum Rules at Higher Orders
• Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$
• Large production rate of new $B_s^0{\pi }^{\pm }$ and $D_s^{\pm }{\pi }^{\pm }$ states in high energy multi-production process
• Production of Charmed Tetraquarks from $B_c$ and $B$ decays
• Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO
• Study of X(5568) in a unitary coupled-channel approximation of $B\bar{K}$ and $B_s\pi$
• A comprehensive revisit of the $\rho$ meson with improved Monte-Carlo based QCD sum rules
• The bottomed strange molecules with isospin 0
• On the description of exotic hadron states within QCD sum rules