“…Rather systematical data has been measured to investigate the equation of state from flow analysis [23,24]. The flow information can be expressed as the first and second coefficients from the Fourier expansion of the azimuthal distribution dN dφ (y, p t ) = N 0 (1 + 2V 1 (y, p t ) cos(φ) + 2V 2 (y, p t ) cos(2φ)) [25], where p t = p 2 x + p 2 y and y are the transverse momentum and the longitudinal rapidity along the beam direction, respectively.…”
Within the framework of an isospin and momentum dependent transport model, the emissions of isospin particles (nucleons and light clusters) squeezed out in heavy-ion collisions are investigated as probes of the poorly known symmetry energy at high baryon density. Two different mass splittings of neutrons and protons in nuclear medium as m * n > m * p and m * n < m * p are used in the model and their influence on the isospin emission in heavy-ion collisions is discussed thoroughly.The competition between the stiffness and the momentum dependence of the symmetry potential on reaction dynamics are compared and systematically analyzed. It is found that the difference of the neutron and proton directed flows and the transverse momentum distribution of the neutron/proton ratio are sensitive to the stiffness of the symmetry energy, which can not be changed with the controversial effective mass splitting. The elliptic flows of free nucleons at high transverse momentum within mid-rapidity emission are a promising observable as distinguishing the nucleon effective mass splitting.PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.[3]) appears in neutron-rich matter, which increases with the isospin asymmetry.
“…Rather systematical data has been measured to investigate the equation of state from flow analysis [23,24]. The flow information can be expressed as the first and second coefficients from the Fourier expansion of the azimuthal distribution dN dφ (y, p t ) = N 0 (1 + 2V 1 (y, p t ) cos(φ) + 2V 2 (y, p t ) cos(2φ)) [25], where p t = p 2 x + p 2 y and y are the transverse momentum and the longitudinal rapidity along the beam direction, respectively.…”
Within the framework of an isospin and momentum dependent transport model, the emissions of isospin particles (nucleons and light clusters) squeezed out in heavy-ion collisions are investigated as probes of the poorly known symmetry energy at high baryon density. Two different mass splittings of neutrons and protons in nuclear medium as m * n > m * p and m * n < m * p are used in the model and their influence on the isospin emission in heavy-ion collisions is discussed thoroughly.The competition between the stiffness and the momentum dependence of the symmetry potential on reaction dynamics are compared and systematically analyzed. It is found that the difference of the neutron and proton directed flows and the transverse momentum distribution of the neutron/proton ratio are sensitive to the stiffness of the symmetry energy, which can not be changed with the controversial effective mass splitting. The elliptic flows of free nucleons at high transverse momentum within mid-rapidity emission are a promising observable as distinguishing the nucleon effective mass splitting.PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.[3]) appears in neutron-rich matter, which increases with the isospin asymmetry.
“…In the meantime, the remnants of the projectile and the target continue with largely undisturbed velocities and are much less affected by the collision process than the participant nucleons. On one hand, this picture is supported by features of the data [21,22] and on the other hand by dynamic simulations [68,69]. During the violent stage of a reaction, the spectators can influence the behavior of the participant matter.…”
Section: The Iqmd Modelmentioning
confidence: 78%
“…As we are interested in studying the effect of the rapidity distribution on the incident-energy dependence of elliptical flow, one has to understand This indicates a compressed or participant zone around zero value and the decay into the spectator zone towards both sides of the zero value. However around the zero value, the region between −0 1 and 0 1 is specified as the mid-rapidity region in the literature [21,22,38]. The decay from −0 1 towards the negative side approaches a target-like spectator, while the other side is known as a projectile-like spectator.…”
Section: The Iqmd Modelmentioning
confidence: 99%
“…After the pioneering measurements at Saturne [46] and Bevalac [47], a wealth of experimental results have been obtained at Bevalac and SIS [15,[20][21][22][23][48][49][50][51][52] as well as at AGS [53,54], SPS [45], and RHIC [55]. In recent years, the FOPI, INDRA, and PLASTIC BALL Collaborations [20][21][22][23] have been actively involved in measuring the excitation function of elliptical flow from Fermi energies to relativistic ones. In most of these studies, collisions of 79 Au 197 + 79 Au 197 are analyzed.…”
Abstract:The interplay between spectator and participant matter in heavy-ion collisions is investigated within the isospin-dependent quantum molecular dynamics (IQMD) model in terms of the rapidity distribution of light charged particles. The effect of different types and sizes of rapidity distributions is studied in elliptical flow.The elliptical-flow patterns show the important role of nearby spectator matter on the participant zone. This role is further explained on the basis of the passing time of the spectator and the expansion time of the participant zone. The transition from in-plane to out-of-plane emission is observed only when the midrapidity region is included into the rapidity bin. Otherwise no transition occurs. The transition energy is found to be highly sensitive to the size of the rapidity bin, while it is only weakly dependent on the type of the rapidity distribution. These theoretical findings are found to be in agreement with experimental results.
PACS (
“…This curve is compared to data from different experiments for mid-central collisions. For E895 [35][36], FOPI [37] and NA49 [38] there is the elliptic flow of protons. The dotted line in the low energy regime depicts UrQMD calculations with included nuclear potential (from Petersen et.…”
We discuss the present collective flow signals for the phase transition to the quark-gluon plasma (QGP) and the collective flow as a barometer for the equation of state (EoS). We emphasize the importance of the flow excitation function from 1 to 50A GeV: here the hydrodynamic model has predicted the collapse of the v 1 -flow at ∼ 10A GeV and of the v 2 -flow at ∼ 40A GeV. In the latter case, this has recently been observed by the NA49 collaboration. Since hadronic rescattering models predict much larger flow than observed at this energy, we interpret this observation as potential evidence for a first order phase transition at high baryon density ρ B .
The 4rd edition
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