On Theoretical Aspect of Photons Emission From Quark-Gluon Interaction Upon Hard Collision

Abstract This work applies a quantum chromodynamics theory QCD to photon emission from heavy quark-gluon scattering in the strong interaction quark-gluon to study and calculate photon flow in hard interaction processes. The photon flow from the dense quark-gluon interaction was calculated using critical temperature, quantum chromodynamic coupling and fugacity at chemical potential μ q (500 MeV) for the anti-top with gluon interaction in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">t</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi mathvariant="normal">g</mml:mi> <mml:mo>→</mml:mo> <mml:mover accent="true"> <mml:mi mathvariant="normal">s</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>γ</mml:mi> </mml:mrow> </mml:math> system. The photon flow spectrum in hard collisions is described under the first leading order approximation for QCD theory at finite chemical potential and critical temperature using various photon energy values dependent on the fugacity of quark and gluon. Photon flux calculation provided valuable insights into QGP conditions. The coupling strength αc (T) calculation is a strongly decreasing function of critical temperature ranging 107MeV ≤ T c ≤ 145MeV and also find appreciable increasing as a result of increasing temperature of system ranging 180MeV ≤ T ≤ 360MeV. The photon flow produced in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">t</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi mathvariant="normal">g</mml:mi> <mml:mo>→</mml:mo> <mml:mover accent="true"> <mml:mi mathvariant="normal">s</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>γ</mml:mi> </mml:mrow> </mml:math> system was observed in the low range of photon energy with two critical temperatures. The total photon emission strongly decreases marginally as a function of the increase in photon energy. The photon flow emission was found to have appreciable enhancement at the anti-top quark interaction with gluon and it increases highly as a result of the increased temperature of the system and reaches to maximum near 360 MeV at minimum strength coupling in the energy of the photon 1GeV≤E≤2 GeV.