Abstract
We consider the light-quark axial-vector current correlator in the framework of thermal QCD sum rules to: (a) find a relation between chiral-symmetry restoration and deconfinement, and (b) determine the temperature behaviour of the a1(1260) width and coupling. Our results show that deconfinement takes place at a slightly lower temperature than chiral-symmetry restoration.This difference is not significant given the accuracy of the method. The behaviour of the a1(1260) parameters is consistent with quark-gluon deconfinement, since the width grows and the coupling decreases with increasing temperature.
Highlights
Over forty years have passed since the birth of the Constituent Quark Model, yet the scalar mesons still challenge theoreticians and experimentalists
An important problem is the understanding of the low energy part of the S-wave K −π + spectrum, where the existence of an I = 1/2 state, the κ(800) meson, has been the subject of a long-standing debate
Dalitz plot, applying the Model-Independent Partial Wave Analysis (MIPWA) technique, developed by the E791 Collaboration [12], to the same data set used for the K-matrix and Isobar fits [3]
Summary
Over forty years have passed since the birth of the Constituent Quark Model, yet the scalar mesons still challenge theoreticians and experimentalists. The BaBar Collaboration [6] uses the I = 1/2 elastic scattering amplitude from LASS for the K π S-wave Another approach is the non-parametric analysis of the K π amplitude from the D+ → K − K +π + decay performed by FOCUS [10]. Dalitz plot, applying the MIPWA technique, developed by the E791 Collaboration [12], to the same data set used for the K-matrix and Isobar fits [3]. The measured phase, in addition to the I = 1/2 K −π + phase, may contain contributions from the I = 3/2 components, as well as possible contributions from three-body final state interactions. The FOCUS spectrometer has a system of three multi-cell threshold Cerenkov counters to perform the charged particle identification, separating kaons from pions up to a momentum of 60 GeV/c. It is this interference with the P-wave that allows one to access the S-wave phase
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