Analysis of the Nonet Scalar Mesons as Tetraquark States with New QCD Sum Rules

Abstract

In this article, we take the scalar diquarks as point particles and describe them as basic quantum fields, then introduce the SU (3) color gauge interaction and new vacuum condensates to study the nonet scalar mesons as tetraquark states with the QCD sum rules. Comparing with the conventional quark currents, the diquark currents have the outstanding advantage to satisfy the two criteria of the QCD sum rules more easily.

PerturbativeO(αs)corrections to the correlation functions of light tetraquark currents

“…A central theoretical issue is the need to theoretically understand the mass pattern of the light scalar states and whether a tetraquark interpretation of these states is able to accommodate or even predict the mass pattern of the light scalar states. This issue has been addressed in a number of recent theoretical investigations using the framework of QCD (Borel) sum rules to study the properties of light tetraquark states [8,9,10,11,12,13,14,15,16,17,18,19]. Perhaps the most complete of these is the analysis by Chen, Hosaka and Zhu [11].…”

Analysis of Mass Modifications of the Vector and Axial Vector Heavy Mesons in the Nuclear Matter With the QCD Sum Rules

“…In Ref. [36], we observe that a width about (or less than) 400 MeV cannot change the prediction significantly, the δ function approximation for the spectral densities still survives. In the present case, Γ D1 = 384 +107 −75 ± 75 MeV from the Particle Data Group [18], the contaminations from the intermediate state D * π are expected to be small.…”

Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules

“…The widths Γ X(3915) = 20 ± 5 MeV [23] and Γ X(4700) = 120 ± 31 +42 −33 MeV [1] are not broad, the effects of the finite widths can be absorbed safely into the pole residues [7,8,28], the present predictions of the masses are reasonable.…”

“…1-2, we plot the masses and pole residues with variations of the Borel parameters at much larger intervals than the Borel windows shown in Eqs. (27)(28). From Eqs.…”