The role of the Heisenberg principle in constrained molecular dynamics model

We implement the Heisenberg principle into the Constrained Molecular Dynamics model with a similar approach to the Pauli principle using the one-body occupation probability [Formula: see text]. Results of the modified and the original model with comparisons to data are given. The binding energies and the radii of light nuclei obtained with the modified model are more consistent with the experimental data than the original one. The collision term and the density distribution are tested through a comparison to p+[Formula: see text]C elastic scattering data. Some simulations for fragmentation and superheavy nuclei production are also discussed.

[1]  Zhaoqing Feng Nuclear dynamics and particle production near threshold energies in heavy-ion collisions , 2018, Nuclear Science and Techniques.

[2]  X. Cao,et al.  Experimental survey of the production of α -decaying heavy elements in U238+Th232 reactions at 7.5–6.1 MeV/nucleon , 2018, Physical Review C.

[3]  Y. Ma,et al.  Giant Dipole Resonance as a Fingerprint of a Clustering Configurations in C-12 and O-16 , 2014, 1407.5414.

[4]  Hua Zheng,et al.  The many facets of the (non relativistic) Nuclear Equation of State , 2013, 1311.1811.

[5]  W. Nazarewicz,et al.  Spontaneous fission modes and lifetimes of superheavy elements in the nuclear density functional theory , 2012, 1208.1215.

[6]  B. Pritychenko,et al.  National Nuclear Data Center: A Worldwide User Facility , 2012 .

[7]  R. Puri,et al.  Participant-spectator matter and thermalization of neutron-rich systems at the energy of vanishing flow , 2011, 1107.5376.

[8]  S. Karataglidis,et al.  Microscopic model analyses of proton scattering from 12C, 20Ne, 24Mg, 28Si and 40Ca , 2007, 0711.0553.

[9]  J. Chen,et al.  Surveying the nucleon-nucleon momentum correlation function in the framework of quantum molecular dynamics model , 2006, nucl-th/0601078.

[10]  M.Papa,et al.  Constrained Molecular Dynamics II: a N-body approach to nuclear systems , 2005, nucl-th/0502067.

[11]  A. Bonasera,et al.  Constrained molecular dynamics simulations of atomic ground states (4 pages) , 2004, physics/0409008.

[12]  A. Bonasera,et al.  Chaos driven fusion enhancement factor at astrophysical energies. , 2004, Physical review letters.

[13]  G. Pappalardo,et al.  Coherent and incoherent giant dipole resonanceγ-ray emission induced by heavy ion collisions: Study of the40Ca+48Casystem by means of the constrained molecular dynamics model , 2003 .

[14]  A. Bonasera,et al.  Constrained molecular dynamics approach to fermionic systems , 2001 .

[15]  A. Bonasera,et al.  Formation and decay of super-heavy systems , 2001, nucl-th/0107021.

[16]  J. Schnack,et al.  Molecular dynamics for fermions , 2000, cond-mat/0001207.

[17]  M. L. Fiandri,et al.  Thermal source parameters in Au+Au central collisions at 35 A MeV , 1998 .

[18]  K. Hagel,et al.  Entrance channel dynamics in 40Ca+40Ca at 35A MeV , 1998 .

[19]  H. Stöcker,et al.  Modelling the many-body dynamics of heavy ion collisions: Present status and future perspective , 1998, nucl-th/9811015.

[20]  Maruyama,et al.  Extension of quantum molecular dynamics and its application to heavy-ion collisions. , 1995, Physical review. C, Nuclear physics.

[21]  J. Schnack,et al.  Fermionic molecular dynamics for ground states and collisions of nuclei , 1995 .

[22]  F. Gulminelli,et al.  The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation , 1994 .

[23]  Maruyama,et al.  Fragment formation studied with antisymmetrized version of molecular dynamics with two-nucleon collisions. , 1992, Physical review letters.

[24]  A. Ohnishi,et al.  Antisymmetrized Version of Molecular Dynamics with Two-Nucleon Collisions and Its Application to Heavy Ion Reactions , 1992 .

[25]  J. Aichelin,et al.  “Quantum” molecular dynamics—a dynamical microscopic n-body approach to investigate fragment formation and the nuclear equation of state in heavy ion collisions , 1991 .

[26]  J. Schnack,et al.  Fermionic Molecular Dynamics , 1990 .

[27]  George F. Bertsch,et al.  A guide to microscopic models for intermediate energy heavy ion collisions , 1988 .

[28]  Miller,et al.  Proton elastic scattering from 12C at 250 MeV and energy dependent potentials between 200 and 300 MeV. , 1988, Physical review. C, Nuclear physics.

[29]  H. Stöcker,et al.  Quantum molecular dynamics — A novel approach to N-body correlations in heavy ion collisions , 1986 .

[30]  Brandenburg,et al.  Nuclear matter density effects in monopole transitions. , 1986, Physical review. C, Nuclear physics.

[31]  J. Comfort,et al.  Analyzing Powers for the $^{12}$C ($P$ (Polarized), $P^\prime$) $^{12}$C Reaction at 120-{MeV} and a Test of the Distorted Wave Impulse Approximation , 1981 .

[32]  K. Koyama,et al.  Forbidden (p, d) Transition and Their CCBA Analysis , 1980 .