Center-of-mass motion and cross-channel coupling in the time-dependent Hartree–Fock theory

We provide a discussion of issues related to the center-of-mass motion and cross-channel coupling in applications of the time-dependent Hartree–Fock (TDHF) theory to heavy-ion collisions. We find that the entrance channel dynamics of a heavy-ion collision as described by TDHF does not seem to be significantly influenced by these effects, whereas the long-time evolution may be less reliable.

[1]  P. D. Stevenson,et al.  Spin-excitation mechanisms in Skyrme-force time-dependent Hartree-Fock calculations , 2006 .

[2]  H. Lipkin.  Center-of-Mass Motion in the Nuclear Shell Model , 1958 .

[3]  A. D. Buckingham.  Collision theory , 1980, Nature.

[4]  Lu Guo,et al.  Conservation Properties in the Time-Dependent Hartree Fock Theory , 2008, 0804.2127.

[5]  J. M. Irvine.  Spurious motion in the TDHF analysis of heavy-ion collisions , 1980 .

[6]  M. S. Weiss,et al.  Three-dimensional time-dependent Hartree-Fock calculations: Application to 16O + 16O collisions , 1978 .

[7]  R. Schaeffer,et al.  A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities , 1998 .

[8]  John W. Negele,et al.  The mean-field theory of nuclear structure and dynamics , 1982 .

[9]  T. Cornelissens,et al.  Variational treatment of the centre-of-mass motion , 1985 .

[10]  I. Perlman,et al.  Theoretical nuclear physics , 1953 .

[11]  M. R. Strayer,et al.  Density as a constraint and the separation of internal excitation energy in TDHF , 1985 .

[12]  J. Skalski.  Adiabatic fusion barriers from self-consistent calculations , 2007 .

[13]  D. Thouless,et al.  Variational approach to collective motion , 1962 .

[14]  A. S. Umar,et al.  Mean-field theory of prompt, high-energy nucleon emission , 1984 .

[15]  A. S. Umar,et al.  Three-dimensional unrestricted time-dependent Hartree-Fock fusion calculations using the full Skyrme interaction , 2006 .