$X_{0,1}$(2900) and $(D^-K^+)$ invariant mass from QCD Laplace sum rules at NLO

R.M. Albuquerque , S. Narison (1) , D. Rabetiarivony , G. Randriamanatrika

1 LUPM - Laboratoire Univers et Particules de Montpellier

We revisit, improve and complete some recent estimates of the 0+ and 1− open charm (c¯d¯)(us) tetraquarks and the corresponding molecules masses and decay constants from QCD spectral sum rules (QSSR) by using QCD Laplace sum rule (LSR) within stability criteria where the factorised perturbative NLO corrections and the contributions of quark and gluon condensates up to dimension-6 in the OPE are included. We confront our results with the D−K+ invariant mass recently reported by LHCb from B+→D+(D−K+) decays. We expect that the bump near the D−K+ threshold can be originated from the 0++(D−K+) molecule and/or D−K+ scattering. The prominent X0 (2900) scalar peak and the bump XJ(3150) (if J=0 ) can emerge from a minimal mixing model , with a tiny mixing angle θ0≃(5.4±2.1)0 , between a scalar Tetramole ( TM0 ) (superposition of nearly degenerated hypothetical molecules and compact tetraquarks states with the same quantum numbers) having a mass MTM0 = 2705(21) MeV and the first radial excitation of the D−K+ molecule with mass M(DK)1=3678(310) MeV. In an analogous way, the X1 (2900) and the XJ(3350) (if J=1 ) could be a mixture between the vector Tetramole (TM1) with a mass MTM1=2665(18) MeV and its first radial excitation having a mass M(TM1)1=4535(161) MeV with an angle θ1≃(8.6±0.6)0 . A (non)-confirmation of the previous minimal mixing models requires an experimental identification of the quantum numbers of the bumps at 3150 and 3350 MeV.

Mots clés: excited state; tetraquark; charm; operator product expansion; quantum number; mixing angle; D; scattering; stability; mixing; quark: condensation; LHC-B; B+ --> D+ D- K+; QCD Spectral Sum Rules; Perturbative and Non-perturbative QCD; Exotic hadrons; Masses and Decay con- stants; QCD Spectral sum rules; Perturbative and non-perturbative QCD; Masses and decay constants; hadron spectroscopy; sum rule: Laplace; hadron: molecule; sum rule: spectral; gluon: condensation; quantum chromodynamics

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Expérience [hep-ex]; Physique des Hautes Energies - Réseau [hep-lat]; Physique Nucléaire Théorique [nucl-th]

R.M. Albuquerque, S. Narison, D. Rabetiarivony, G. Randriamanatrika. $X_{0,1}$(2900) and $(D^-K^+)$ invariant mass from QCD Laplace sum rules at NLO. Nucl.Phys.A, 2021, 1007, pp.122113. ⟨10.1016/j.nuclphysa.2020.122113⟩. ⟨hal-02946241⟩