Abstract

The role of quark correlations in the description of hadron dynamics in many domains of physics, from low energy dynamics to very hot (dense) systems, is being appreciated. Strong correlations of two quarks (diquark) have been widely investigated in this respect. Recently, we have proposed a dynamical scheme to describe the Θ+ pentaquark in which also three quark correlations (triquark) were instrumental in producing a low mass exotic state. We perform a study, within the QCD sum rule approach including OPE and direct instanton contributions, of triquark correlations and obtain two quasi-bound light uds¯ color quark clusters of 800 and 930 MeV, respectively.

Highlights

  • In 2003 evidence was reported of a very narrow exotic baryon of mass ≈ 1540 MeV and small width [1]

  • The dynamics of correlated quarks is being appreciated in many areas of hadron physics

  • In the undesirable circumstances that the pentaquarks, and other exotics, do not exist the study of quark correlations in other domains of hadron physics will open up the possibility of further understanding the dynamics of QCD

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Summary

Introduction

In 2003 evidence was reported of a very narrow exotic baryon of mass ≈ 1540 MeV and small width [1] This so called Θ+ pentaquark with a minimal quark content uuddshas motivated tremendous experimental and theoretical activity since its first sightings. In ref.[9] we presented arguments in favor of the formation inside the pentaquark, due to the coupling of the instanton field, of a light color cluster with flavor content uds. In such a system a strong attraction is possible in the quark-quark, and in quark-antiquark channel. Our considerations will start from the discussion of the direct instanton contribution to the sum rules for the nucleon and thereafter we will calculate instanton effects on the mass of a colored udstriquark

QCD sum rule approach for the nucleon and triquark states
QCD sum rules with direct instanton contributions
Conclusion
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