dorsal/arxiv
View SchemaTemperature dependent Nucleon Mass and entropy bound inequality
| Authors | M. G. Mustafa, A. Ansari |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9505041 |
| URL | https://arxiv.org/abs/nucl-th/9505041 |
Abstract
Mass of a baryon as a function of temperature is calculated using colour-singlet partition function for massless quarks (with two flavours) and abelian gluons confined in a bag with a temperature dependent bag pressure constant $B(T)$. The non-perturbative aspect of QCD interaction is included through colour-singlet restriction on quark-gluon partition function in a phenomenological way. The entropy bound inequality $ S/E \ \leq \ 2\pi R/\hbar c $, where $S, \ E $ and $R$ are entropy, energy and radius, respectively of the enclosed system with $\hbar c \ = \ 197.331 $ MeVfm, is found to be consistent with the equilibrium solutions of the baryon mass upto a temperature $T_E$. There is a region of temperature $T_E < T < T_C$ ($T_C$ is critical temperature for quark-gluon plasma formation) in which no admissible equilibrium states exist for the bag. We say that the system expriences a phase jump from hadron to quark-gluon plasma through thermodynamic non-equlibrium processes.
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"abstract": "Mass of a baryon as a function of temperature is calculated using\ncolour-singlet partition function for massless quarks (with two flavours) and\nabelian gluons confined in a bag with a temperature dependent bag pressure\nconstant $B(T)$. The non-perturbative aspect of QCD interaction is included\nthrough colour-singlet restriction on quark-gluon partition function in a\nphenomenological way. The entropy bound inequality $ S/E \\ \\leq \\ 2\\pi R/\\hbar\nc $, where $S, \\ E $ and $R$ are entropy, energy and radius, respectively of\nthe enclosed system with $\\hbar c \\ = \\ 197.331 $ MeVfm, is found to be\nconsistent with the equilibrium solutions of the baryon mass upto a temperature\n$T_E$. There is a region of temperature $T_E \u003c T \u003c T_C$ ($T_C$ is critical\ntemperature for quark-gluon plasma formation) in which no admissible\nequilibrium states exist for the bag. We say that the system expriences a phase\njump from hadron to quark-gluon plasma through thermodynamic non-equlibrium\nprocesses.",
"arxiv_id": "nucl-th/9505041",
"authors": [
"M. G. Mustafa",
"A. Ansari"
],
"categories": [
"nucl-th"
],
"title": "Temperature dependent Nucleon Mass and entropy bound inequality",
"url": "https://arxiv.org/abs/nucl-th/9505041"
},
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