Z_c -like spectra from QCD Laplace sum rules at NLO

Abstract

We present a global analysis of the observed Z_c, Z_cs and future Z_css-like spectra using the inverse Laplace transform (LSR) version of QCD spectral sum rules (QSSR) within stability criteria. Integrated compact QCD expressions of the LO spectral functions up to dimension-six condensates are given. Next-to-Leading Order (NLO) factorized perturbative contributions are included. We re-emphasize the importance to include PT radiative corrections (though numerically small) for heavy quark sum rules in order to justify the (ad hoc) definition and value of the heavy quark mass used frequently at LO in the literature. We also demonstrate that, contrary to a naïve qualitative 1/N_c counting, the two-meson scattering contributions to the four-quark spectral functions are numerically negligible confirming the reliability of the LSR predictions. Our results are summarized in Tables III to VI. The Z_c(3900) and Z_cs(3983) spectra are well reproduced by the T_c(3900) and T_cs(3973) tetramoles (superposition of quasi-degenerated molecules and tetraquark states having the same quantum numbers and with almost equal couplings to the currents). The Z_c(4025) or Z_c(4040) state can be fitted with the D*_0D_1 molecule having a mass 4023(130) MeV while the Z_cs bump around 4.1 GeV can be likely due to the (D^*_s0D_1+ D^*_0D_s1) molecules. The Z_c(4430) can be a radial excitation of the Z_c(3900) weakly coupled to the current, while all strongly coupled ones are in the region (5634-6527) MeV. The double strange tetramole state T_css which one may identify with the future Z_css is predicted to be at 4064(46) MeV. It is remarkable to notice the regular mass-spliitings of the tetramoles due to SU(3) breakings M_{T_cs}-M_{T_c}= M_{T_css}-M_{T_cs= (73- 91) MeV.

22 pages in two-column format; 24 figures, 6 tables : References corrected

References in corpus (22)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• A Theory of Scalar Mesons
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Unraveling duality violations in hadronic tau decays
• $Z_{cs}(3985{)}^{-}$ as the $U$-spin partner of $Z_c(3900{)}^{-}$ and implication of other states in the ${\text{SU(3)}}_F$ symmetry and heavy quark symmetry
• Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• The $Z_{cs}(3985)$ as a threshold effect from the ${\bar{D}}_s^{\ast }D+{\bar{D}}_s{D}^{\ast }$ interaction
• sigma and f_0(980) substructures from gamma-gamma to pi-pi, J/psi, phi radiative and D_s semi-leptonic decays
• A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$
• Tetraquark-adequate formulation of QCD sum rules
• Tetraquark-adequate QCD sum rules for quark-exchange processes
• The nature of charged charmonium-like states $Z_c(3900)$ and its strange partner $Z_{cs}(3982)$
• ${\alpha }_s(\mu )$ from $M_{{\chi }_{0c(0b)}}-M_{{\eta }_{c(b)}}$@N2LO
• Can $Z_{cs}(3985)$ be a molecular state of ${\bar{D}}_s^{\ast }D$ and ${\bar{D}}_s{D}^{\ast }$ ?
• OPE and quark-hadron duality for two-point functions of tetraquark currents in $1/N_c$ expansion
• The New Charm-Strange Resonances in the D^- K^+ Channel
• Doubly hidden $0^{++}$ molecules and tetraquarks states from QCD at NLO
• Recent XYZ results at BESIII

Cited by in corpus (28)

• An updated review of the new hadron states
• Hadronic molecules in B decays
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Exotic ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular states and $sc\bar{q}\bar{c}$ tetraquark states with $J^P=0^{+},1^{+},2^{+}$
• Implications of the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ as two different states
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?
• Electromagnetic properties of doubly heavy pentaquark states
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Di-Gluonium Sum Rules, I = 0 Scalar Mesons and Conformal Anomaly
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO
• $Z_{cs}$ states from the $D_s^{\ast }{\bar{D}}^{\ast }$ and $J/\psi K^{\ast }$ coupled channels: Signal in $B^{+}\to J/\psi \varphi K^{+}$ decay
• Magnetic moments of the vector hidden-charmed tetraquark states
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• Predictions of the hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$
• Analysis of the ${\overline{\Xi }}_{cc}{\Xi }_{cc}$ hexaquark molecular state with the QCD sum rules
• Next-to-Leading Order (NLO) Perturbative Effects in QCD Sum-Rule Analyses of Light Tetraquark Systems: A Case Study in the Scalar-Isoscalar Channel
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• Electromagnetic properties of the $D{\bar{D}}^{\ast }K$ molecular hexaquark state
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model
• Tests of the Z_c-like Laplace Sum Rule (LSR) results using FESR at NLO
• Baryons and baryoniums in the perspective of QCD sum rules
• Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems
• Structural dissection of hadronic molecules: The $D^{(\ast )}{\bar{K}}^{(\ast )}$ family under QCD light-cone sum rules
• Meson scattering and tetraquarks in two-dimensional QCD
• Strange pentaquark molecules in QCD sum rules