Effect of hadronic hard-core radius on the phase transition to an interacting quark-gluon plasma

Uddin, Saeed; Singh, C. P.

doi:10.1007/bf01597571

Cited by 6 publications

(4 citation statements)

References 14 publications

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“…We have considered the repulsive interactions between baryons as the finite 3 5 -hard-core volume corrections which have frequently been used by several authors in the recent past. Moreover, we find that bag constant B does not remain an arbitrary pa-\ \ rameter in our calculation [9] and is linked with the A'\ ,\.., hard-core radius r, of the baryons. We also notice that In conclusion, the ratio R of the baryon-number densities in the Q G P and H R G phases have been obtained by incorporating the interactions up to gl (i.e., a:/') order terms in Q G P and the volume corrections, which takes care of the repulsive interactions in the dense H R G phase.…”

Section: Resultsmentioning

confidence: 96%

“…Recently, we have shown that the incorporation of hard-core volumes for the hadrons and treating a Q G P as weakly interacting plasma substantially change the values of the parameters of the phase transition and these corrections are, in fact, essential for a realistic description of the quark-hadron phase transition [ 9 ] . We noticed [9] that the higher-order g: term contribution in Q C D is quite significant at lower values of the baryon-chemical potential pB where the value of a,( =g,2/47r) is large.…”

Section: (Received 22 September 1993)mentioning

confidence: 99%

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Baryon-number fluctuations in a quark-hadron phase transition

1994

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Isothermal baryon-number fluctuations arising from a first-order quark-hadron phase transition in the early Universe are obtained by including the quark-gluon interactions up to the order gj in the perturbative QCD coupling constant in the quark-gluon plasma (QGP) phase and the finite-size volume corrections for the hadrons in the hadron-resonance gas (HRG) and their effects on the primordial nucleosynthesis (PNS) are analyzed. The ratio of the baryon-number densities in the QGP and HRG phases at the critical temperature T, is larger than one in the range 150 MeV < T, < 260 MeV. However, it is far larger than one even when T, is outside this range, thus affecting primordial nucleosynthesis significantly.PACS number(s1: 04.40. Dg, 12.38.Mh, 98.80.Ft The nature and the critical parameters of the phase transition between a hadron resonance gas (HRG) and the quark-gluon plasma (QGP) are the object of active theoretical and experimental research [1,2]. At very high temperatures in the early Universe, we believe that the colored quarks and gluons were unconfined and the matter existed in the form of a QGP. As the Universe expanded, the temperature dropped through the critical temperature Tc for the phase transition where the Q G P could exist in thermal, mechanical, and chemical equilibrium with a dense hot gas of H R G . Isothermal baryonnumber fluctuation is a natural consequence of a firstorder phase transition between a Q G P and HRG. Consequently, a large local fluctuation in the baryon-to-photon ratio results and thus alters the predictions of the standard scenario for primordial nucleosynthesis (PNS). The ratio of baryon-number densities in the two phases is represented by and the expression is evaluated at T = T c and baryon chemical potential p, <> 1, the baryon number of the Universe preferentially remained in the Q G P phase during the period of phase separation and thus affected the PNS significantly.Several authors have calculated [3-81 the value of R by assuming a Q G P as an ideal thermodynamical gas of quarks and gluons and the H R G was treated as an ideal gas of protons and neutrons. Turner [ 3 ] noticed that the ratio R decreases significantly when other low-lying baryon states, e.g., A (mass 1232 MeV, ~' = 3 / 2 ' and I = 3 / 2 ) , A, 2', zO, and 2 -(strangeness = -1 states) were included. H e found that unless Tc < 150 MeV, the effects of the phase transition upon PNS would not be significant. However, they found R << 1 for Tc > 250 MeV and that the baryon number resides predominantly in the H R G phase. Recently, Murugesan et al. [ 4 ] used relativistic quantum statistics for particles in both the phases and Hagedorn's correction for the finite size of the hadrons in the H R G phase. They found that these corrections lower the value of Tc and, unless Tc 5 125MeV and R > 10, the phase transition would not have any significant effect upon PNS. The purpose of this paper is to explore the results when a phase transition from a Q G P with interacting quarks and gluons to a hadron gas co...

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Section: Resultsmentioning

confidence: 96%

Section: (Received 22 September 1993)mentioning

confidence: 99%

Baryon-number fluctuations in a quark-hadron phase transition

1994

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“…The non-interacting quark gluon plasma is used here, but the interaction can be easily included as in [4]. If we consider the contribution of the interaction within the quark gluon plasma up to g 3 , for a given temperature and chemical Pressure as a function of temperature for hadron gas including π, ρ, ω, a 1 and N , and quark gluon plasma, with µ = 0.4µo Fig.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…They propose that the pion contribution to the pressure and energy density does not require any volume correction. A further improvement is given by Uddin and Singh [4], the interaction within the quark gluon plasma is included in their discussion. We notice that the properties of the hadron is temperature and density dependent.…”

Section: Introductionmentioning

confidence: 97%

A revised approach of the two phase model for quark-gluon deconfinement phase transition

Pin-zhen

Shi

1997

Zeitschrift f�r Physik C Particles and Fields

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The two phase model for the quark-gluon deconfinement phase transition is modified based on the tempreature and density related properties of the hadron. The revised approach is consistent with the single body description. Its consequences on the pressure and energy density of the hadron gas is investigated, and the critical value of temperature and chemical potential of the phase transition from the hadron gas to a non-interacting quark matter are calculated. Our results agree with the recent lattice gauge calculations.

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Equation of state of finite-size hadrons: thermodynamical consistency

Uddin

Singh

1994

Z. Phys. C - Particles and Fields

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Effect of hadronic hard-core radius on the phase transition to an interacting quark-gluon plasma

Cited by 6 publications

References 14 publications

Baryon-number fluctuations in a quark-hadron phase transition

Baryon-number fluctuations in a quark-hadron phase transition

A revised approach of the two phase model for quark-gluon deconfinement phase transition

Equation of state of finite-size hadrons: thermodynamical consistency

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