Abstract

The investigation of mesons in hot medium can give valuable information about the nature of QCD vacuum and deconfinement phase transitions. In this study, thermal properties of pseudotensor K2(1820) meson is examined via QCD sum rules at finite temperature. The mass and the decay constant of K2(1820) are estimated up to dimension-five by considering the new operators emerging at finite temperature. It is seen that after a certain temperature, the decay constant and the mass decrease significantly due to the hot medium effects.

Highlights

  • Investigating the spectroscopy of pseudotensor mesons which have more complex structures rather than conventional mesons is necessary to understand the QCD dynamics and completion of the hadron spectrum

  • It is believed that within the close proximity of a critical temperature, Tc = 190 MeV, a transition occurs from hadronic matter to Quark Gluon Plasma (QGP) phase [1, 2]

  • Thermal QCD studies on the hadronic properties can provide us valuable information on the deconfinement phase transition, which is believed to exist at the very early stage of the Big Bang [3]

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Summary

Introduction

Investigating the spectroscopy of pseudotensor mesons which have more complex structures rather than conventional mesons is necessary to understand the QCD dynamics and completion of the hadron spectrum. The behaviour of pseudotensor mesons in hot medium might give us some different clues. Thermal QCD studies on the hadronic properties can provide us valuable information on the deconfinement phase transition, which is believed to exist at the very early stage of the Big Bang [3]. The strange pseudotensor states K2(1770) and K2(1820) were observed by several experiments [4,5,6], and their vacuum properties were studied in Refs. The thermal properties of pseudotensor states in the strange sector are not investigated. We use thermal QCD sum rules [9], which is an extension of SVZ sum rules [10] at finite temperature, to construct the mass and the decay constant sum rules of pseudotensor K2(1820) meson. Calculations are made up to operator dimension five, and additional operators coming from the hot medium are considered

Theoretical framework
Findings
Numerical analysis
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