Antisymmetrized molecular dynamics with quantum branching processes for collisions of heavy nuclei

Abstract

Antisymmetrized molecular dynamics (AMD) with quantum branching processes is reformulated so that it can be applicable to the collisions of heavy nuclei such as Au + Au multifragmentation reactions. The quantum branching process due to the wave packet diffusion effect is treated as a random term in a Langevin-type equation of motion, whose numerical treatment is much easier than the method of the previous papers. Furthermore a new approximation formula, called the triple-loop approximation, is introduced in order to evaluate the Hamiltonian in the equation of motion with much less computation time than the exact calculation. A calculation is performed for the Au + Au central collisions at 150 MeV/nucleon. The result shows that AMD almost reproduces the copious fragment formation in this reaction.

24 pages, 5 figures embedded

References in corpus (3)

• Central Collisions of Au on Au at 150, 250 and 400 A MeV
• Quantum Fluctuation Effects on Nuclear Fragment Formation
• Fragments in Gaussian Wave-Packet Dynamics with and without correlations

Cited by in corpus (65)

• The Nuclear Symmetry Energy
• Molecular Dynamics for Fermions
• Isospin fractionation and isoscaling in dynamical nuclear collisions
• Nuclear multifragmentation and phase transition for hot nuclei
• Systematics of central heavy ion collisions in the 1A GeV regime
• Experimental determination of the symmetry energy of a low density nuclear gas
• Shannon Information Entropy in Heavy-ion Collisions
• Characteristics of the fragments produced in central collisions of 129Xe+ natSn from 32 to 50 AMeV
• Properties of the nuclear medium
• Dynamics of clusters and fragments in heavy-ion collisions
• Isobaric Yield Ratios and The Symmetry Energy In Fermi Energy Heavy Ion Reactions
• Reaction Dynamics and Multifragmentation in Fermi Energy Heavy Ion Reactions
• Multifragmentation of a very heavy nuclear system (II): bulk properties and spinodal decomposition
• Symmetry energy for fragmentation in dynamical nuclear collisions
• Comparison of Heavy-Ion Transport Simulations: Mean-field Dynamics in a Box
• Non-Gaussian Fluctuation and Non-Markovian Effect in the Nuclear Fusion Process: Langevin Dynamics Emerging from Quantum Molecular Dynamics Simulations
• Compatibility of localized wave packets and unrestricted single particle dynamics for cluster formation in nuclear collisions
• Liquid-Gas phase transition in nuclei
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Collision dynamics at medium and relativistic energies
• Correlations and Characterization of Emitting Sources
• The Quantum Nature of a Nuclear Phase Transition
• Evidence for high excitation energy resonances in the 7 alpha disassembly of ${}^{28}$Si
• The Isospin Dependence Of The Nuclear Equation Of State Near The Critical Point
• Isocaling and the Symmetry Energy in the Multifragmentation Regime of Heavy Ion Collisions
• Critical behavior of the isotope yield distributions in the Multifragmentation Regime of Heavy Ion Reactions
• A new approach to solve the Boltzmann-Langevin equation for fermionic systems
• Liquid-Gas Phase Transition of Supernova Matter and Its Relation to Nucleosynthesis
• Fragmentation paths in dynamical models
• Isobaric Yield Ratio Difference in Heavy-ion Collisions, and Comparison to Isoscaling
• Many-body correlations in Semiclassical Molecular Dynamics and Skyrme interaction
• A novel determination of density, temperature and symmetry energy for nuclear multi-fragmentation through primary fragment yield reconstruction
• Comparison of dynamical multifragmentation models
• Phase transition dynamics for hot nuclei
• Fragmentation path of excited nuclear systems
• Relevance of equilibrium in multifragmentation
• Dynamical fission of the quasiprojectile and isospin equilibration for the system 80Kr+ 48 Ca at 35 MeV/nucleon
• Examination of cluster production in excited light systems at Fermi energies from new experimental data and comparison with transport model calculations
• Comparison of AMD calculations with experimental data for peripheral collisions of 93Nb+93Nb,116Sn at 38 MeV/nucleon
• Short timescale behavior of colliding heavy nuclei at intermediate energies
• Neutron Density Distributions of Neutron-Rich Nuclei Studied with the Isobaric Yield Ratio Difference
• Experimental reconstruction of primary hot isotopes and characteristic properties of the fragmenting source in the heavy ion reactions near the Fermi energy
• Primary Isotope Yields and Characteristic Properties of the Fragmenting Source in Heavy-ion Reactions near the Fermi Energies
• Isospin effects and symmetry energy studies with INDRA
• Influence of fast emissions and statistical de-excitation on the isospin transport ratio
• Alpha Conjugate Neck Structures in the Collisions of 35 MeV/nucleon 40Ca with 40Ca
• Studies of the equation-of-state of nuclear matter by heavy-ion collisions at intermediate energy in the multi-messenger era
• Constrained caloric curves and phase transition for hot nuclei
• Energy-Dependence of Nucleus-Nucleus Potential and Friction Parameter in Fusion Reactions
• A Scaling Phenomenon in Shannon Information Uncertainty Difference of fragments in Heavy-ion Collisions
• Reconstructed primary fragments and symmetry energy, temperature and density of the fragmenting source in ${}^{64}$Zn + ${}^{112}$Sn at 40 MeV/nucleon
• Isobaric yield ratio difference between the 140 $A$ MeV ${}^{58,64}$Ni + ${}^9$Be reactions studied by antisymmetric molecular dynamics model
• Energetics of midvelocity emissions in peripheral heavy ion collisions at Fermi energies
• Spin Quantization in Heavy Ion Collision
• A Ghoshal-like Test of Equilibration in Near-Fermi-Energy Heavy Ion Collisions
• Characterization of the breakup channel in the asymmetric systems ${}^{40,48}$Ca+${}^{12}$C at 25 and 40 MeV/nucleon
• Charged particle decay of hot and rotating ${}^{88}$Mo nuclei in fusion-evaporation reactions
• Semiclassical expansion of quantum characteristics for many-body potential scattering problem
• Statistical analysis of experimental multifragmentation events in ${}^{64}$Zn + ${}^{112}$Sn at 40 MeV/nucleon
• Isospin diffusion from ${}^{40,48}$Ca${+}^{40,48}$Ca experimental data at Fermi energies: Direct comparisons with transport model calculations
• Properties of the Initial Participant Matter Interaction Zone in Near Fermi-Energy Heavy Ion Collisions
• Shells in a Toroidal Nucleus in the Intermediate Mass Region
• Activation of momentum fluctuations in wave packet molecular dynamics: Impacts on momentum distributions of projectilelike fragments
• Transport Model Comparison Studies of Intermediate-Energy Heavy-Ion Collisions
• Many-body correlations in Semiclassical Molecular Dynamics and Skyrme forces for symmetric Nuclear Matter