Nature of the \(X(5568)\): A critical Laplace sum rule analysis at N2LO
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Publication:2820132
DOI10.1142/S0217751X16500937zbMATH Open1344.81148arXiv1604.05566OpenAlexW3105949790MaRDI QIDQ2820132
Author name not available (Why is that?)
Publication date: 14 September 2016
Published in: (Search for Journal in Brave)
Abstract: We scrutinize recent QCD spectral sum rules (QSSR) results to lowest order (LO) predicting the masses of the BK molecule and (su)�ar(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 ( au-sum rule variable, t_c continuum threshold and subtraction constant mu). 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 (5173sim 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 2 hetaapprox 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 pi+hadrons decays.
Full work available at URL: https://arxiv.org/abs/1604.05566
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