Abstract
A microscopic theory to derive the collision term extending time-dependent mean-field theories for finite systems is discussed. It is based on a random-matrix model for the residual interaction in a diabatic basis of single-particle states. The structure of the energy conserving function in a finite system with discrete s.p. levels is investigated. The effect of statistical two-body collisions on the equilibration of the occupation numbers is shown analytically in a schematic model. A numerical calculation demonstrates the influence of a collision term on TDHF results.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
H.A. Weidenmüller, Prog. Part. and Nucl. Phys. Vol. 3, p.49 (1980), Pergamon Press, and references therein.
A. Gobbi and W. Nörenberg, in: Heavy-Ion Collisions, Ed. R. Bock, North-Holland Publ. Comp., Amsterdam-New York-Oxford, 1980, Vol. 2
G. Wolschin, in: Nuclear Structure and Heavy-Ion Collisions, LXXVII Corso Varenna, Soc. Italiana di Fisica, p. 507 (1981)
L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics, Benjamin New York (1962)
C.Y. Wong and H.H.K. Tang, Phys.Rev.Lett. 40 (1978) 1070, and Phys. Rev. C20 (1979) 1419; C.M. Shakin and M.S. Weiss, preprint UCRL-80500 (1977, unpublished) H. Orland and R. Schaeffer, Z. Physik A290 (1978) 191; G. Schlütte and L. Wilets, Phys. Rev. C25 (1982) 673
G. Mantzouranis and H.C. Pauli, Z.Physik A281 (1977) 165, and Phys. Rev. C22 (1980) 1550
H.C. Pauli, preprint MPI-H-1982-V7
R. Balian and M. Vénéroni, Ann. Phys. (N.Y.) 135 (1981)270
S. Ayik, Z. Physik A298 (1980) 83
P. Grangé, H.A. Weidenmüller and G. Wolschin, Ann.Phys. (N.Y.) 136 (1981) 190
E.A. Uehling and G.E. Uhlenbeck, Phys. Rev. 43 (1933) 352
G. Wolschin, XIV. Masurian Summer School in Nuclear Physics, Mikolajki, Poland, Sept. 1981, in press, and Phys.Rev.Lett.48 (1982) 1004
J. Richert, D.M. Brink and H.A. Weidenmüller, Phys.Lett. 87B (1979) 6; P. Grangé, J. Richert, G. Wolschin and H.A. Weidenmüller, Nucl. Phys. A356 (1981) 260
T.A. Brody, J. Flores, J.B. French, P.E. Mello, A. Pandey and S.S.M. Wong, Rev.Mod.Phys. 53 (1981)385
C. Mahaux and H.A. Weidenmüller. Ann.Rev.Nucl.Particle Sci. 29 (1979) 1
D.L. Hill and J.A. Wheeler, Phys.Rev. 89 (1953) 1102
R.F. Fox, Phys. Lett. C48 (1978) 179
J.W. Negele, in: Theoretical Methods in Medium-Energy and Heavy Ion Physics (K.W. McVoy and W.A. Friedman, Eds.), p.235, Plenum Press New York / London, 1978
M.C. Nemes and H.A. WeidenmUller, Phys. Rev. C24 (1981) 450
M. Abramowitz and J.A. Stegun, in: Handbook of Mathematical Functions, Dover Publications, Inc., New York, 7.3.33
P. Grangé and G. Wolschin, in preparation
W. Nörenberg, Proc. Int. Workshop on Gross Properties of Nuclei Nuclear Excitations IX, Hirschegg 1981 (Ed. H. Feldmeier); preprint GSI-81-14(1981); Phys.Lett. 104B (1981) 107
C. Toepffer and C.Y. Wong, Phys. Rev. C25 (1981) 1018 C. Toepffer, Z. Physik A 305 (1982) 263
P., Bonche, S.E. Koonin and J.W. Negele, Phys.Rev. C13 (1976) 1226
H. Flocard, S.E. Koonin and M.S. Weiss, Phys.Rev. C17 (1978) 1682
H.S. Köhler, Nucl.Phys. A343 (1980) 315 and these proceedings
A. Lazzarini et al., Phys.Rev. C24 (1981) 309
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Wolschin, G. (1982). Mean-field theory and random two-body collisions. In: Goeke, K., Reinhard, P.G. (eds) Time-Dependent Hartree-Fock and Beyond. Lecture Notes in Physics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11950-7_12
Download citation
DOI: https://doi.org/10.1007/3-540-11950-7_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11950-0
Online ISBN: 978-3-540-39536-2
eBook Packages: Springer Book Archive