Hydrodynamical Treatment of Multiple Meson Production in High Energy Nucleon-Nucleus Collisions

Amai, Saburo; Fukuda, Hiroshi; Iso, Chikashi; Sato, Masatomo

doi:10.1143/ptp.17.241

Cited by 41 publications

(18 citation statements)

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“…For the first stage of one-dimensional hydrodynamics, the exact solution for an initially uniform slab has been obtained and discussed in [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]. There are in addition simple approximate solutions [6,7].…”

Section: Longitudinal Hydrodynamical Expansionmentioning

confidence: 99%

“…Landau hydrodynamics provides a plausible description for the evolution of the dense hot matter produced in high-energy heavy-ion collisions. Its dynamics during the first stage of the one-dimensional longitudinal expansion can be solved exactly and the one-dimensional longitudinal expansion problem admits simple approximate solutions [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]. The subsequent three-dimensional motion can be solved approximately to give rise to predictions that come close to experimental data [1,2,3,6,7].…”

Section: Introductionmentioning

confidence: 99%

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Landau hydrodynamics reexamined

2008

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We review the formulation of Landau hydrodynamics and find that the rapidity distribution of produced particles in the center-of-mass system should be more appropriately modified as dN/dy ∝ exp{ p y 2 b − y 2 }, where y b = ln{ √ sNN /mp} is the beam nucleon rapidity, instead of Lan-The modified distribution agrees better with experimental dN/dy data than the original Landau distribution and can be represented well by the Gaussian distribution, dN/dy(Gaussian) ∝ exp{−y 2 /2L}. Past successes of the Gaussian distribution in explaining experimental rapidity data can be understood, not because it is an approximation of the original Landau distribution, but because it is in fact a close representation of the modified distribution. Predictions for pp and AA collisions at LHC energies in Landau hydrodynamics are presented.

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Section: Longitudinal Hydrodynamical Expansionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Landau hydrodynamics reexamined

2008

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“…The Khalatnikov potential has been used in the literature in an initial period [9,10], but it has not been recently considered, to our knowledge. Very recently, the interest in looking for exact solutions of (1+1) hydrodynamics has been revived, and one finds new examples and applications of exact solutions, e.g., in Refs.…”

Section: Introductionmentioning

confidence: 99%

Entropy flow of a perfect fluid in (1+1) hydrodynamics

2008

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Using the formalism of the Khalatnikov potential, we derive exact general formulae for the entropy flow dS/dy, where y is the rapidity, as a function of temperature for the (1+1) relativistic hydrodynamics of a perfect fluid. We study in particular flows dominated by a sufficiently long hydrodynamic evolution, and provide an explicit analytical solution for dS/dy. We discuss the theoretical implications of our general formulae and some phenomenological applications for heavy-ion collisions.Comment: 17 pages, 2 figures, to appear in Phys.Rev.

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“…system. 51 The theoretical correlation between the two extreme views was discussed by Milekhin. 62 The consequence of the present view that both the Landau and Heisenberg theories might contribute may yield a variation of the multiplicity of shower particles n $ as a function of the primary energy EQ of the form n s = aE^+bE^\ where a and b are constants.…”

Section: Discussionmentioning

confidence: 99%

Composition of the Secondary Particles Produced in Nuclear Interactions at ∼1012eV

Kim

1964

Phys. Rev.

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Twenty-two proton, neutron, and alpha jets (N h <3, 2X10 11 eV<£< 1.5Xl0 13 eV), found in a 22-liter emulsion stack flown for 13 h at an altitude of 116 000 feet, have been analyzed to identify the nature of the particles emitted in the extreme backward cm. cone. Among 82 tracks analyzed, out of 149 tracks traced (total length of the secondaries traced was 20.4 m and 74 interactions were found), 53 secondaries were attributed to pions, 18 to kaons, 10 to protons, and one to a hyperon. The relative composition of the 82 secondaries has a dependence on the cm. emission angle 0. For 0>175°, there were 7 x, 9 K, 10 p, and 1 Y; for 0<175°, there were 46 TT, 9 K, and no baryons. A similar distinction existed for the average cm. momenta

and the average transverse momenta in the extreme backward cm. emission angle;

becomes large and becomes small. The baryons carried the average fraction 0.5±0.2 of the total available energy in the cm. system. Concerning the K/ir ratio, p t distribution, and

at 0<175°, the hydrodynamical theory with a critical temperature kTc^m^c 2 predicts the correct behavior. In this region, the cm. momentum distribution of pions fits the form dNozp n dp with n= -0.8db0.4. But for the extreme backward cm. emission angle region, 0>175°, the smallness of and concentration of kaons and baryons favor an interpretation in terms of the Heisenberg theory. Rochester, edited by

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Hydrodynamical Treatment of Multiple Meson Production in High Energy Nucleon-Nucleus Collisions

Cited by 41 publications

References 1 publication

Landau hydrodynamics reexamined

Landau hydrodynamics reexamined

Entropy flow of a perfect fluid in (1+1) hydrodynamics

Composition of the Secondary Particles Produced in Nuclear Interactions at ∼1012eV

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