Abstract
In this article, we take the scalar diquark and antidiquark operators as the basic constituents, and construct the type tetraquark current to study Y(10750) with the QCD sum rules. The predicted mass and width support the assignment of Y(10750) as the diquark-antidiquark type vector hidden-bottom tetraquark state, with a relative P-wave between the diquark and antidiquark constituents.
Highlights
The Belle collaboration observed a resonance structure Y (10750) with the global significance of 6.7σ in the e+e− → Υ(nS)π+π− (n = 1, 2, 3) cross sections at energies from 10.52 to 11.02 GeV using the data collected with the Belle detector at the KEKB asymmetric-energy e+e− collider [1].The Breit-Wigner mass and width are MY = ± +0.7 −1.1 MeV and ΓY 35.5−+1171..63 +3.9 −3.3MeV, respectively.The Y (10750) is observed in the processes Y (10750) →Υ(nS)π+π− (n = 1, 2, 3), its quantum numbers may be JP C = 1−−
In Refs.[13, 17, 18], we study the hidden-charm and hidden-bottom tetraquark states with the QCD sum rules, and explore the energy scale dependence of the extracted masses and pole residues for the first time
We study the vector hidden-bottom tetraquark state, there exists a relative P-wave between the bottom diquark and bottom antidiquark constituents
Summary
I.e. mu = md, the current operators Jμ(x) couple potentially to the diquark-antidiquark type vector hidden-bottom tetraquark states which have degenerate masses. We can obtain the QCD sum rules for the mass of the vector hidden-bottom tetraquark candidate Y (10750) through a fraction, s0 2 ds d ρ(s) exp (−τ s)
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