Abstract
The QCD vacuum is populated by instantons that correspond to the tunneling processes in the vacuum. This mechanism creates the strong vacuum gluon fields. As result, the QCD vacuum instantons induce very strong interactions between light quarks, initially almost massless. Such a strong interactions bring a large dynamical mass M of the light quarks and bound them to produce almost massless pions in accordance with the spontaneous breaking of the chiral symmetry (SBCS). On the other hand, the QCD vacuum instantons also interact with heavy quarks and responsible for the generation of the heavy-heavy and heavy-light quarks interactions, with a traces of the SBCS. If we take the average instanton size \rho=0.33 fm, and the average inter-instanton distance R=1 fm we obtain the dynamical light quark mass to be M = 365 MeV and the instanton media contribution to the heavy quark mass \Delta M=70 MeV. These factors define the coupling between heavy-light and heavy-heavy quarks induced by the QCD vacuum instantons. We consider first the instanton effects on the heavy-heavy quarks potential, including its spin-dependent part. We also discuss those effects on the masses of the charmonia and their hyperfine mass splittings. At the second part we discuss the interaction between a heavy and light quarks generated by instantons and it's effects.
Highlights
QCD vacuum has a rich topological properties
We know from [1] that the classical potential energy of the gluon field A is periodic along their collective coordinate so-called Chern-Simons number d3 xK4
Lowest state hadrons naturally has a small size quark cores. In this case their properties insensitive to the confinement and Instanton Liquid Model (ILM) is applicable
Summary
QCD vacuum has a rich topological properties. We know from [1] that the classical potential energy of the gluon field A is periodic along their collective coordinate so-called Chern-Simons number. The width of the band is defined by the amplitude of tunneling ∼ e−S I , where the action S I is calculated on Euclidean classical trajectory between nearest minima – QCD (anti)instanton. It means that (anti)instanton’s topological charge QT. 4-dim space is filled by a tunneling processes with the density n = 1/R4 and time-space size ρ It correspond to the collection of a (anti)instantons with sizes ρ occupied Euclidean space with interinstanton distances R and total vacuum gluon field is given by Aμ(x) =. The estimate within DLM leads the KvBLL instanton average size ρ ≈. Small quark core size hadrons are insensitive to the confinement, we may safely apply ILM
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
