Abstract
The strong form factor of the $B_{c} B_{c}J/\Psi$ vertex is calculated in the framework of the QCD sum rules method at finite temperature. Taking into account additional operators appearing at finite temperature, thermal Wilson expansion is obtained and QCD sum rules are derived. While increasing temperature, the strong form factor remains unchanged up to $T\simeq100~MeV$ but slightly increases after this point. After $T\simeq160~MeV$, the form factor suddenly decreases up to $T\simeq170~MeV$. The obtained result of the coupling constant by fitting the form factor at $Q^2=-m^2_{offshell}$ at $T=0$ is in a very good agreement with the QCD sum rules calculations at vacuum. Our prediction can be checked in the future experiments.
Highlights
The three-meson vertices are important quantities in the phenomenological theories of hadron physics
The extending of QCD sum rules method to finite temperature has been made in Ref. [13]. This extension is based on two basic assumptions: that the Operator Product Expansion (OPE) and the notion of quark–hadron duality remain valid at finite temperature, but the vacuum condensates must be replaced by their thermal expectation
The aim of this paper is to investigate the strong form factor Bc Bc J/ψ vertex in the framework of the QCD sum rules method at finite temperature
Summary
The three-meson vertices are important quantities in the phenomenological theories of hadron physics. The understanding of the thermal meson properties before the phase transition requires one to study the temperature dependencies of the meson form factors. The knowledge of the temperature dependence of the form factors is very important for the interpretation of heavy-ion collision experiments and understanding the QCD vacuum. Comparing to its value in vacuum, we see that the value of the form factor decreases suddenly around the deconfinement temperature We consider this as a sign of a possible phase transition. The aim of extending the sum rules to finite temperature is to understand the thermal properties of the hadrons. It is well known that heavy mesons have different behaviors when the temperature of the medium increases (see [11] and references therein) This motivated us to investigate the thermal properties of mesons. This extension is based on two basic assumptions: that the Operator Product Expansion (OPE) and the notion of quark–hadron duality remain valid at finite temperature, but the vacuum condensates must be replaced by their thermal expectation
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