The New Charm-Strange Resonances in the D−K+ Channel
| Popis: | We evaluate the masses and decay constants of the $0^+$ and $1^-$ open-charm $(\bar{c}\bar{d})(us)$ tetraquarks and molecular states from QCD spectral sum rules (QSSR) by using QCD Laplace sum rule (LSR). This method takes into account the stability criteria where the factorized 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 $B^+ \to D^+(D^- K^+)$ decays. We expect that the resonance near the $D^- K^+$ threshold can be originated from the $0^{+}(D^-K^+)$ molecule and/or $D^- K^+$ scattering. The $X_0(2900)$ scalar state and the resonance $X_J(3150)$ (if $J = 0$) can emerge from a minimal mixing model, with a tiny mixing angle $\theta_0 \simeq (5.2 \pm 1.9)^0$, between a scalar Tetramole $({\cal T}_{\!\!{\cal M}0})$ (superposition of nearly degenerated hypothetical molecules and compact tetraquarks states with the same quantum numbers), having a mass $M_{{\cal T}_{\!\!{\cal M}0}} = 2743(18)$ MeV, and the first radial excitation of the $D^- K^+$ molecule with mass $M_{(DK)_1} = 3678(310)$ MeV. In an analogous way, the $X_1(2900)$ and the $X_J(3350)$ (if $J = 1$) could be a mixture between the vector Tetramole $({\cal T}_{\!\!{\cal M}1})$, with a mass $M_{{\cal T}_{\!\!{\cal M}1}} = 2656(20)$ MeV, and its first radial excitation having a mass $M_{{\cal T}_{\!\!{\cal M}1}} = 4592(141)$ MeV with an angle $\theta_0 \simeq (9.1 \pm 0.6)^0$. A (non)-confirmation of these statements requires experimental findings of the quantum numbers of the resonances at $3150$ and $3350$ MeV. Comment: Talk given at 23rd High-Energy Physics International Conference in Quantum Chromodynamics (QCD 20, 35th anniversary), 27-30 October 2020, Montpellier-France (v2: typos corrected, results unchanged) |
|---|---|
| ISSN: | 2405-6014 |
| DOI: | 10.1016/j.nuclphysbps.2021.05.032 |
| DOI: | 10.1016/j.nuclphysbps.2021.05.032⟩ |
| Přístupová URL adresa: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25fe160654990072be013b2ba2170279 https://doi.org/10.1016/j.nuclphysbps.2021.05.032 |
| Rights: | OPEN |
| Přírůstkové číslo: | edsair.doi.dedup.....25fe160654990072be013b2ba2170279 |
| Autor: | G. Randriamanatrika, D. Rabetiarivony, Stephan Narison, R.M. Albuquerque |
| Přispěvatelé: | Laboratoire Univers et Particules de Montpellier (LUPM), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université Montpellier 2 - Sciences et Techniques (UM2), Université Montpellier 2 - Sciences et Techniques (UM2)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Quark Nuclear and High Energy Physics Particle physics Scalar (mathematics) FOS: Physical sciences mixing angle quantum number operator product expansion 01 natural sciences quantum chromodynamics: correction gluon: condensation Perturbative and non-perturbative QCD High Energy Physics - Experiment High Energy Physics - Experiment (hep-ex) High Energy Physics - Phenomenology (hep-ph) sum rule: spectral excited state 0103 physical sciences [PHYS.HEXP]Physics [physics]/High Energy Physics - Experiment [hep-ex] Invariant mass B+ --> D+ D- K+ 010306 general physics sum rule: Laplace Quantum chromodynamics Physics QCD sum rules Exotic hadrons [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 010308 nuclear & particles physics scattering hadron: molecule tetraquark stability Quantum number LHC-B High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) Masses and decay constants [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] High Energy Physics::Experiment Tetraquark Sum rule in quantum mechanics quark: condensation |
| Zdroj: | Nucl.Part.Phys.Proc. 23rd High-Energy Physics International Conference in Quantum Chromodynamics 23rd High-Energy Physics International Conference in Quantum Chromodynamics, Oct 2020, Montpellier, France. pp.15290, ⟨10.1016/j.nuclphysbps.2021.05.032⟩ |
| ISSN: | 2405-6014 |
| DOI: | 10.1016/j.nuclphysbps.2021.05.032 |
| Popis: | We evaluate the masses and decay constants of the $0^+$ and $1^-$ open-charm $(\bar{c}\bar{d})(us)$ tetraquarks and molecular states from QCD spectral sum rules (QSSR) by using QCD Laplace sum rule (LSR). This method takes into account the stability criteria where the factorized 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 $B^+ \to D^+(D^- K^+)$ decays. We expect that the resonance near the $D^- K^+$ threshold can be originated from the $0^{+}(D^-K^+)$ molecule and/or $D^- K^+$ scattering. The $X_0(2900)$ scalar state and the resonance $X_J(3150)$ (if $J = 0$) can emerge from a minimal mixing model, with a tiny mixing angle $\theta_0 \simeq (5.2 \pm 1.9)^0$, between a scalar Tetramole $({\cal T}_{\!\!{\cal M}0})$ (superposition of nearly degenerated hypothetical molecules and compact tetraquarks states with the same quantum numbers), having a mass $M_{{\cal T}_{\!\!{\cal M}0}} = 2743(18)$ MeV, and the first radial excitation of the $D^- K^+$ molecule with mass $M_{(DK)_1} = 3678(310)$ MeV. In an analogous way, the $X_1(2900)$ and the $X_J(3350)$ (if $J = 1$) could be a mixture between the vector Tetramole $({\cal T}_{\!\!{\cal M}1})$, with a mass $M_{{\cal T}_{\!\!{\cal M}1}} = 2656(20)$ MeV, and its first radial excitation having a mass $M_{{\cal T}_{\!\!{\cal M}1}} = 4592(141)$ MeV with an angle $\theta_0 \simeq (9.1 \pm 0.6)^0$. A (non)-confirmation of these statements requires experimental findings of the quantum numbers of the resonances at $3150$ and $3350$ MeV. Comment: Talk given at 23rd High-Energy Physics International Conference in Quantum Chromodynamics (QCD 20, 35th anniversary), 27-30 October 2020, Montpellier-France (v2: typos corrected, results unchanged) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect