Nuclear Stopping and Nuclear Equation of State

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Presentation transcript:

Nuclear Stopping and Nuclear Equation of State Qingfeng Li (Huzhou Teachers College) 湖州师范学院

Chifeng-Nuclear Structure & Quantum Mechanics Outline Motivation Brief Introduction of the transport model and updates Some results and discussions Conclusion and outlook 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics Motiviation The uncertainties of the nuclear equation of state. The global dynamic process of the nuclear reaction. The close relationship with other observables such as the flow and the HBT correlation 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics Motivation Phys.Rev.Lett.97:052701,2006 By westen Michigen Uni. What we are more sure Science 298 (2002) 1592-1596 BHF Skyrme RMF What we are not sure The bottom plot was stolen from Zoran Basrak, :) 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Puzzles have been shown Z.Q. Feng, G.M. Jin, PL B683 (2010) 140 Phys. Rev. Lett. 102, 062502, 2009 Supersoft or Stiff? Dynamics of the whole process should be checked CAREFULLY Anybody has his own judgment, but nobody makes it for 100% sure. 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics More From W. Reisdorf, et al. (FOPI Collaboration), ArXiv: 1005.3418 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics And … 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics First glance of UrQMD UrQMD : Ultra-relativistic Quantum Molecular Dynamics, written mainly by the theoretical group in Frankfurt 10 years ago. It is a non-equilibrium transport model It includes 55 baryon species (with mass up to 2.25GeV) and 32 meson species (with mass up to 1.91GeV) . Hadrons are represented by Gaussian wave packets in phase space Particles interact via: - Mean Field modification - Collisions (with measured and calculated cross sections) Particles produce via: - Formation and decay of resonance - Excitation and fragmentation of string It provides full phase-space dynamics of heavy-ion collisions It can be used to study HICs at energies from SIS to RHIC The current version is v2.3. (http://th.physik.uni-frankfurt.de/~urqmd/) 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

And our progresses in the transport model UrQMD Better description of the mean-field term (sym.pot., mom.dep., Mes.Coul., Relat.Eff., More Skyrme…) Medium modified cross sections (Den.Dep., Mom.Dep.,Iso.Dep.,SplittingEff., …) Mean-field potentials for “pre-formed” hadrons (from String fragmentation) … 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Our Recent Publications related to above progresses Physical Review C 81 (2010) 034913 Modern Physics Letters A 25 (2010) 669 Progress in Particle and Nuclear Physics 62 (2009) 425 Phys. Lett. B 674 (2009) 111 Mod. Phys. Lett. A 24 (2009) 41-51 J. Phys. G: Nucl. Part. Phys. 36 (2009) 015111 Science in China Series G: Physics, Mechanics, Astronomy, 52 (2009) 1530 Phys. Lett. B 663 (2008) 395-399 Phys. Lett. B 659 (2008) 525-530 J. Phys. G: Nucl. Part. Phys. 34 (2007) 2037-2044 J. Phys. G: Nucl. Part. Phys. 34 (2007) 537-548 …Totally, about 20 publications 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Some interesting results From PRC69, 054907 (2004) From JPG32, 151 (2006) Eb (A GeV) 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Constraints from Collective Flow: Neutron and Proton Elliptic Flow 197Au+197Au at 400 AMeV with LAND+FOPI (Phase 1) neutron and proton flow measured in same detector (LAND) UrQMD calculations of Q. Li et al. symmetry energy parametrisation F(u) = u  = 0.86  21 ( = 1.5 – stiff;  = 0.5 – soft) Newest result: 1 0.3 From W. Trautmann Partly from Prog. Part. Nucl. Phys. 62 (2009)425 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics Cont’d v2=<(px2-py2)/pt2> v1=<px/pt> From PRC74, 064908 (2006) 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

To solve the HBT t-puzzle From PLB659, 525(2008) 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Improvement to the mT-scaling Left Plots: Without “pre-formed” hadron potential: RL: of kaons and Lambdas: Large RO: of all particles : Large RS: of Lambdas : Large Right Plots: With “pre-formed” Hadron potential: RL: of Kaons and Lambda: follow RO: of all particles : follow RS: of pions and Kaons : follow the mT-scaling T.Csorgo etc, PRC 54, 1390(1996) From PLB663, 395(2008) Without the consideration of the FSI in hydro-dynamics 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics Nuclear Stopping [e.g. CPL19, (2002) 321] Conventionally, 1 2 Popularly, (By FOPI/GSI, termed as vartl or varxz) e.g., Phys. Rev. Lett. 92, 232301 (2004) 3 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Stiffness of EoS on vartl The free nucleon-nucleon elastic cross sections are used. 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Medium dependence of CS on vartl =0.5 Based on RBUU approach 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Chifeng-Nuclear Structure & Quantum Mechanics Problems The medium modifications of CS at low beam energies (50-250A MeV) (Stronger? Or?) The pauli blocking effect on stopping The (vanishing) flow at low beam energies (40-120A MeV) The nuclear stopping at high beam energies (AGS/SPS/RHIC…) The stability of nucleus (pauli blocking/pot., Gaussian wave package,…nuclear structure) on stopping at low energies ? ? 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Conclusion and Outlook UrQMD has been successfully extended to the physics at SIS energies. Global dynamics should be paid more attention. For example, the nuclear stopping should be checked for HICs at all beam energies. At low and high beam energies, the nuclear stopping should be checked more carefully, from which one can dig deeper information of the basic transport process, beside exciting topics in our community. 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics

Thanks for patience liqf@hutc.zj.cn 2019/7/3 Chifeng-Nuclear Structure & Quantum Mechanics