Chiral Structure of Baryon and Scalar Tetraquark Currents

Hua-Xing Chen,Atsushi Hosaka,V Dmitrašinović,S Lunardi,P.G Bizzeti,C Signorini,M Chiari,P Di Nezza,R Menegazzo,C Bucci,J.J Valiente-Dobon,A Dainese,A Nannini

doi:10.1051/epjconf/20146606004

Hua-Xing Chen, Atsushi Hosaka + Show 11 more

Open Access

https://doi.org/10.1051/epjconf/20146606004

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Abstract

We investigate chiral properties of local fields of baryons consisting of three quarks with flavor SU(3) symmetry. We construct explicitly independent local three- quark fields belonging to definite Lorentz and flavor representations. We discuss some implications of the allowed chiral symmetry representations on physical quantities such as axial coupling constants and chiral invariant Lagrangians. We also systematically in- vestigate chiral properties of local scalar tetraquark currents, and study their chiral trans- formation properties.

Highlights

We investigate chiral properties of local fields of baryons consisting of three quarks with flavor S U(3) symmetry
We discuss some implications of the allowed chiral symmetry representations on physical quantities such as axial coupling constants and chiral invariant Lagrangians
As the chiral symmetry of QCD is spontaneously broken, S U(N f )L ⊗ S U(N f )R → S U(N f )V (N f being the number of flavors), the observed hadrons are classified by the residual symmetry group representations of S U(N f )V

Summary

Introduction

As the chiral symmetry of QCD is spontaneously broken, S U(N f )L ⊗ S U(N f )R → S U(N f )V (N f being the number of flavors), the observed hadrons are classified by the residual symmetry group representations of S U(N f )V. As pointed out by Weinberg [1, 2], there are situations when it makes sense to consider algebraic aspects of chiral symmetry, i.e. the chiral multiplets of hadrons. Such hadrons may be classified in linear representations of the chiral symmetry group with some representation mixing. While the chiral representation can be used as a theoretical probe for the internal structure of hadrons [3,4,5,6,7] Motivated by these arguments, we perform a complete classification of baryon fields written as local products of three quarks according to chiral symmetry group S U(3)L ⊗ S U(3)R [8,9,10,11]. We systematically classified the scalar tetraquark currents and study their chiral transformation properties [12,13,14]

Baryon Currents

Scalar Tetraquark Currents