Disappearance of transverse flow in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Au</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Au</mml:mi></mml:math>collisions

Magestro, D.; Bauer, Wolfgang; Bjarki, O.; Crispin, J. D.; Miller, Michael L.; Tonjes, M. B.; Molen, A. M. Vander; Westfall, G. D.; Pak, R.; Norbeck, E.

doi:10.1103/physrevc.61.021602

Cited by 59 publications

(80 citation statements)

References 20 publications

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“…Since we plan to study the heavier colliding nuclei, different nn cross-sections should not have much effect [7]. Further, it has been shown in ref.…”

Section: Coul Imentioning

confidence: 92%

“…Based on the above findings, we predict E bal for the central 238 U + 238 U reaction around 37-39 MeV/nucleon (according to power law fits, it is around 37-38 MeV/nucleon whereas QMD simulation predicts around 39 MeV/nucleon). It is worth mentioning that most of the earlier mass dependence calculations [7,10,21] could not reproduce the experimentally extracted slopes [7,10]. Zhou et al [21] could reproduce the slope, however their analysis was only done for lighter nuclei ≤ 200.…”

Section: Coul Imentioning

confidence: 98%

Section: Pacs Numbersmentioning

confidence: 99%

“…It has been shown in the simulation of heavy ion reactions that this beam energy called balance energy, E bal , [4,5,6] depends on the nucleon-nucleon (nn) cross-section in the medium as well as on the potential [5,6]. With the very recently measured E bal in 197 Au + 197 Au collisions [7] (earlier only estimated values were available [8]), a renewed interest has emerged in the field [9]. In addition to the Au system, balance energies E bal of 12 [4] are also available.…”

Section: Pacs Numbersmentioning

confidence: 99%

“…[7] and 238 U + 238 U (b = 0-3 fm) at incident energies between 30 MeV/nucleon and 80 MeV/nucleon at a step of 10 MeV. A straight line interpolation between steps was used to calculate the energy of vanishing flow E bal .…”

Section: Coul Imentioning

confidence: 99%

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Study of balance energy in central collisions for heavier nuclei

2004

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) is obtained in all cases. Our results are in excellent agreement with experimental data which allows us to predict the balance energy for 238 U + 238 U collision around 37-39 MeV/nucleon. PACS numbers:Thirty years ago it was predicted by Scheid and Greiner [1] that in heavy ion reactions the nuclei will be compressed and heated and that this yields for non central reactions to in-plane flow p dir x . More than a decade later, this conjecture was confirmed by the Plastic Ball group [2]. In the following investigations it turned out that this in-plane flow carries information on the nuclear equation of state [3]. If the nuclear equation of state is stiffer, more compressional energy will be stored in semicentral reactions and, when released, more in-plane flow will be given to the nucleons.The maximal density which is reached in a reaction depends on the beam energy as well as on the system size. The lower the beam energy the less is the compression. At very low energies, the repulsive part of the nuclear equation of state, which appears at densities above the normal nuclear matter density, is not tested anymore and the nucleons feel only the attractive mean field. A typical example is the deep inelastic reactions in which the two nuclei rotate around a common center. This rotation creates in-plane flow as well but in opposite direction: Due to the common rotation the nucleons stick together for a while and will be emitted into the direction opposite to the impact parameter whereas the in-plane flow which is caused by compression will be in the direction of the impact parameter.There is a beam energy at which the in-plane flow disappears when changing from the direction into that opposite to the impact parameter. It has been shown in the simulation of heavy ion reactions that this beam energy called balance energy, E bal , [4,5,6] depends on the nucleon-nucleon (nn) cross-section in the medium as well as on the potential [5,6] [7,12,13,15].Apart from the directed in-plane flow, differential as well as elliptic flow has also been predicted very recently [16].The measurements of the balance energy over wide range of system sizes provide an excellent opportunity to pin down the role of the mass dependence, where only preliminary studies [7,10] have been performed yet. These preliminary studies suggest a power law dependence ∝ A τ of the balance energy on the mass number of the system. Interestingly, most of the theoretical studies are done within the Boltzmann-Uehling-Uhlenbeck (BUU) model [4,5,6,7,10,12,15,16,17,18,19,20,21]. Some attempts, however, also exist within the framework of Quantum Molecular Dynamics (QMD) model [13,22,23,24]. Heavy systems are rather rarely analyzed in these approaches.Our present aim is therefore to study the mass dependence of the balance energy in heavy colliding nuclei and to predict for the first time the disappearance of the collective in-plane flow in central 238 U + 238 U collision. We shall show that the mass dependence of E bal for heavier nuclei scales approximately more asra...

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“…Since we plan to study the heavier colliding nuclei, different nn cross-sections should not have much effect [7]. Further, it has been shown in ref.…”

Section: Coul Imentioning

confidence: 92%