An explicit solution of the statistical bootstrap

Yellin, Joel

doi:10.1016/0550-3213(73)90581-6

“…Let us look at a simple toy model proposed by Hagedorn to illustrate the Frautschi-Yellin reformulation [12,19] of the original model which we find in comparable detail in ref. [15], also shown in subsect.…”

Section: Implementation Of the Modelmentioning

confidence: 99%

“…(25) is "universal" in the sense that it is not restricted to the above toy model, but turns out to be the same in all (non-cutoff) realistic SBM cases [12,19]. Moreover, it is independent of: -the number of space-time dimensions [196]; the "toy model" extends this to the cae of "zero"-space dimensions; -the number of "input particles" (z becomes a sum over modified Hankel functions of input masses); -Abelian or non-Abelian symmetry constraints [197].…”

Section: Implementation Of the Modelmentioning

confidence: 99%

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Melting hadrons, boiling quarks

Rafelski

¹

2015

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Abstract. In the context of the Hagedorn temperature half-centenary I describe our understanding of the hot phases of hadronic matter both below and above the Hagedorn temperature. The first part of the review addresses many frequently posed questions about properties of hadronic matter in different phases, phase transition and the exploration of quark-gluon plasma (QGP). The historical context of the discovery of QGP is shown and the role of strangeness and strange antibaryon signature of QGP illustrated. In the second part I discuss the corresponding theoretical ideas and show how experimental results can be used to describe the properties of QGP at hadronization. The material of this review is complemented by two early and unpublished reports containing the prediction of the different forms of hadron matter, and of the formation of QGP in relativistic heavy ion collisions, including the discussion of strangeness, and in particular strange antibaryon signature of QGP.

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“…Let us look at a simple toy model proposed by Hagedorn to illustrate the Frautschi-Yellin reformulation [12,19] of the original model which we find in comparable detail in Ref. [15], also shown in Subsection 2.1, Eq.…”

Section: Implementation Of the Modelmentioning

confidence: 99%

Melting Hadrons, Boiling Quarks

Rafelski

¹

2016

Melting Hadrons, Boiling Quarks - From Hagedorn Temperature to Ultra-Relativistic Heavy-Ion Collisions at CERN

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Abstract. In the context of the Hagedorn temperature half-centenary I describe our understanding of the hot phases of hadronic matter both below and above the Hagedorn temperature. The first part of the review addresses many frequently posed questions about properties of hadronic matter in different phases, phase transition and the exploration of quark-gluon plasma (QGP). The historical context of the discovery of QGP is shown and the role of strangeness and strange antibaryon signature of QGP illustrated. In the second part I discuss the corresponding theoretical ideas and show how experimental results can be used to describe the properties of QGP at hadronization. The material of this review is complemented by two early and unpublished reports containing the prediction of the different forms of hadron matter, and of the formation of QGP in relativistic heavy ion collisions, including the discussion of strangeness, and in particular strange antibaryon signature of QGP.

show abstract

“…Equation (1) was originally proposed to explain the spectra in the p-p and π-p scattering [1,19]. Later, it was obtained from the statistical bootstrap models [2,20,21,22]. Subsequently, it gained a convincing support from the dual string models [23,24,25,26].…”

mentioning

confidence: 99%

Update of the Hagedorn mass spectrum

Broniowski

¹

,

Florkowski

²

,

Glozman

³

2004

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We present an update of the Hagedorn hypothesis of the exponential growth of the number of hadronic resonances with mass. We use the newest available experimental data for the non-strange mesons and baryons, as well as fill in some missing states according to the observation that the high-lying states form chiral multiplets. The results show, especially for the case of the mesons, that the Hagedorn growth continues with the increasing mass, with the new states lining up along the exponential growth.

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An explicit solution of the statistical bootstrap

Cited by 64 publications

References 11 publications

Melting hadrons, boiling quarks

Melting hadrons, boiling quarks

Melting Hadrons, Boiling Quarks

Update of the Hagedorn mass spectrum

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