Analysis of the axialvector $B_c$-like tetraquark states with the QCD sum rules

Abstract

In this article, we construct the diquark-antidiquark type current operators to study the axialvector $B_c$-like tetraquark states with the QCD sum rules. In calculations, we take the energy scale formula as a powerful constraint to choose the ideal energy scales of the QCD spectral densities and add detailed discussions to illustrate why we take the energy scale formula to improve the QCD sum rules for the doubly heavy tetraquark states. The predicted masses $M_{Z_{\bar{b}c}(1^{+-})}=7.30\pm 0.08\mathrm{GeV}$ and $M_{Z_{\bar{b}c}(1^{++})}=7.31\pm 0.08\mathrm{GeV}$ lie between the conventional $2\mathrm{P}$ and $3\mathrm{P}$ $B_c$ states with $J^P=1^{+}$ from the potential quark models, which is a typical feature of the diquark-antidiquark type $B_c$-like tetraquark states.

11 pages, 5 figures

References in corpus (14)

• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Determination of spin and parity of the $Z_c(3900)$
• Observation of two excited B${}_{\mathrm{c}}^{+}$ states and measurement of the B${}_{\mathrm{c}}^{+}$(2S) mass in pp collisions at $\sqrt{s}=$ 13 TeV
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Observation of an excited $B_c^{+}$ state
• The excited bottom-charmed mesons in a nonrelativistic quark model
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• The decay width of the $Z_c(3900)$ as an axialvector tetraquark state in solid quark-hadron duality
• Strong decays of the $Y(4660)$ as a vector tetraquark state in solid quark-hadron duality
• Analysis of the hidden-bottom tetraquark mass spectrum with the QCD sum rules
• Open charm-bottom axial-vector tetraquarks and their properties
• Spectroscopic parameters and decays of the resonance $Z_b(10610)$

Cited by in corpus (9)

• Tetra- and penta-quark structures in the constituent quark model
• Doubly-heavy tetraquarks
• Spectrum and rearrangement decays of tetraquark states with four different flavors
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Fully open-flavor tetraquark states $bc\bar{q}\bar{s}$ and $sc\bar{q}\bar{b}$ with $J^P=0^{+},1^{+}$
• Analysis of the bottom-charm baryon states with QCD sum rules
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• $\lambda$ and $\rho$ Regge trajectories for bottom-charm tetraquarks $(bq)(\bar{c}{\bar{q}}^{\prime })$ and $(cq)(\bar{b}{\bar{q}}^{\prime })$