How to use Heavy Quarks to Probe the QCD Vacuum

Author(s):  
H. LEUTWYLER
Keyword(s):  
1981 ◽  
Vol 98 (6) ◽  
pp. 447-450 ◽  
Author(s):  
H. Leutwyler
Keyword(s):  

2018 ◽  
Vol 182 ◽  
pp. 02092 ◽  
Author(s):  
Mirzayusuf Musakhanov

We are discussing the properties of the QCD vacuum which might be important especially for the understanding of hadrons with small quark core size ~ 0:3 fm: We assume that at these distances the QCD vacuum can be described by the Instanton Liquid Model (ILM). At larger distances, where confinement is important, ILM should be extended to Dyons Liquid Model (DLM). The ILM has only two free parameters, average instanton size ρ ≈ 0:3 fm and average inter-instanton distance R ≈ 1 fm, and can successfully describe the key features of light hadron physics. One of the important conceptual results was prediction of the momentum dependent dynamical quark mass M ~ (packing f raction)1/2 ρ-1 ≈ 360 MeV, later confirmed numerically by evaluations in the lattice. The estimates show that gluon-instanton interaction strength is also big and is controlled by the value of dynamical gluon mass Mg ≈ M. Heavy quarks interact with instantons much weaker. The heavy quark-instanton interaction strength is given by ΔmQ ~ packing fraction ρ-1 ≈ 70 MeV: Nevertheless, the direct instanton contribution to the colorless heavy-heavy quarks potential is sizable and must be taken into account. At small distances, where one-gluon exchange contribution to this potential is dominated, we have to take into account dynamical gluon mass Mg. Also, instantons are generating light-heavy quarks interactions and allow to describe the nonperturbative effects in heavy-light quarks systems.


1991 ◽  
Vol 06 (08) ◽  
pp. 711-718 ◽  
Author(s):  
ZHENG HUANG ◽  
K.S. VISWANATHAN ◽  
DANDI WU

CP violation in strong interactions is re-examined on the basis of the anomaly relation with emphasis on the non-triviality of QCD vacuum. It is shown that after appropriately defining the conventional vacuum, the CP violating phases in QCD Lagrangian are subject to constraints derived from the anomaly relation. A possible solution to the strong CP problem is suggested provided that one of heavy quarks has a vanishing dynamical condensate.


2002 ◽  
Vol 172 (5) ◽  
pp. 497 ◽  
Author(s):  
Valerii V. Kiselev ◽  
Anatolii K. Likhoded
Keyword(s):  

2014 ◽  
Author(s):  
Mathias Neuman ◽  
Jens Langelage ◽  
Owe Philipsen

2020 ◽  
Vol 56 (9) ◽  
Author(s):  
Gábor Balassa ◽  
György Wolf

Abstract In this work, we extended our statistical model with charmed and bottomed hadrons, and fit the quark creational probabilities for the heavy quarks, using low energy inclusive charmonium and bottomonium data. With the finalized fit for all the relevant types of quarks (up, down, strange, charm, bottom) at the energy range from a few GeV up to a few tens of GeV’s, the model is now considered complete. Some examples are also given for proton–proton, pion–proton, and proton–antiproton collisions with charmonium, bottomonium, and open charm hadrons in the final state.


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