Koonin, S. E. and Nix, J. R. (1976) Microscopic calculation of nuclear dissipation. Physical Review C, 13 (1). pp. 209228. ISSN 05562813. http://resolver.caltech.edu/CaltechAUTHORS:KOOprc76

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Abstract
By use of a timedependent wave function of the BCS form, we compute microscopically the energy dissipated for a system with a monopole pairing force moving under the influence of a timedependent singleparticle potential. Quasiparticle generation and coupling of the twoquasiparticle modes of the system are included automatically and provide contact with the LandauZener formula. The singleparticle potential is related to nuclear shapes generated by viscous hydrodynamical calculations of a fissioning 236U nucleus. We attempt to determine the energy dissipated between the saddle point and scission point by requiring that at the scission point the energy dissipated in the microscopic calculations equal that dissipated in the macroscopic hydrodynamical calculations. This procedure leads to 34 MeV of dissipated energy, which is almost twice the value of 18 MeV obtained from macroscopic hydrodynamical calculations that reproduce experimental fissionfragment kinetic energies. The corresponding value of the nuclear viscosity coefficient determined from the microscopic calculations is 0.04 TP, compared to 0.015 ± 0.005 TP obtained from the macroscopic hydrodynamical calculations. The viscosity coefficient determined from the microscopic calculations is even larger if the dissipated energies are compared at a finite scission neck radius. As a possible resolution of this discrepancy, we propose that level splittings arising from axially asymmetric and reflectionasymmetric deformations during the descent from the saddle point to scission reduce the energy dissipation and make the nuclei only moderately viscous.
Item Type:  Article 

Additional Information:  ©1976 The American Physical Society. Received 2 September 1975. This work was supported by the U.S. Energy Research and Development Administration under Contract Nos. AT(111)/3069 and W7405ENG36. We are grateful to R. Babinet, F. Beck, G.F. Bertsch, A. Bohr, Z. Fraenkel, J.J. Griffith, A.K. Kerman, S.J. Krieger, U. Mosel, W.D. Myers, J.W. Negele, S.G. Nilsson, A.J. Sierk, W.K. Swiatecki, and L. Wilets for stimulating discussions concerning this work, to T.A. Tombrello for suggesting the scaling procedure for the singleparticle energies, and to K.T.R. Davis, for providing us with the hydrodynamical paths. In addition, S.E. Koonin thanks the Los Alamos Scientific Laboratory for its support and hospitality, and J.R. Nix thanks the Aspen Center for Physics for its hospitality during the completion of this manuscript. 
Subject Keywords:  NUCLEAR REACTIONS Fission 236U; calculated microscopically energy dissipated between saddle point and scission. Monopole pairing force, timedependent wave function of BCS form, correspondence with LandauZener formula, nuclear viscosity, axially asymmetric and reflectionasymmetric deformations important. 
Record Number:  CaltechAUTHORS:KOOprc76 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:KOOprc76 
Alternative URL:  http://dx.doi.org/10.1103/PhysRevC.13.209 
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ID Code:  9182 
Collection:  CaltechAUTHORS 
Deposited By:  Tony Diaz 
Deposited On:  19 Nov 2007 
Last Modified:  26 Dec 2012 09:46 
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