Abstract
In this chapter we apply the formalism developed in the first part of the book to fission. We discuss the choice of collective coordinate adapted to the fission problem. We then present a quantum localization technique to progressively identify the wave function of the nascent pre-fragments within the wave function of the parent nucleus, and provide a quantum-mechanical definition of scission. We conclude with a discussion of the calculation of fission-fragment properties, in particular their mass distributions and total kinetic and excitation energies.
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Notes
- 1.
It may be possible to recover the missing masses by introducing many additional multipole constraints, thereby emulating the constraints on the pre-fragments.
References
J.F. Berger, M. Girod, D. Gogny, Comput. Phys. Commun. 63, 365 (1991)
R. Bernard, H. Goutte, D. Gogny, W. Younes, Phys. Rev. C 84, 044308 (2011)
N. Dubray, H. Goutte, J.-P. Delaroche, Phys. Rev. C 77, 014310 (2008)
N. Dubray, D. Regnier, Comp. Phys. Comm. 183, 2035 (2012)
H. Goutte, J.-F. Berger, P. Casoli, D. Gogny, Phys. Rev. C 71, 024316 (2005)
J. Lennard-Jones, Proc. R. Soc. A 198, 14 (1949)
J. Libert, M. Girod, J.-P. Delaroche, Phys. Rev. C 60, 054301 (1999)
J.C. Pei, W. Nazarewicz, J.A. Sheikh, A.K. Kerman, Phys. Rev. Lett. 102, 192501 (2009)
P.-G. Reinhard, J.A. Maruhn, A.S. Umar, V.E. Oberacker, Phys. Rev. C 83, 034312 (2011)
P. Ring, P. Schuck, The Nuclear Many-Body Problem. Springer, Heidelberg (1980)
N. Schunck, D. Duke, H. Carr, A. Knoll, Phys. Rev. C 90, 054305 (2014)
W.J. Swiatecki, S. Bjørnholm, Phys. Rep. 4, 325 (1972)
W. Younes, D. Gogny, Phys. Rev. C 80, 054313 (2009)
W. Younes, D. Gogny, Phys. Rev. Lett 107, 132501 (2011)
W. Younes, D. Gogny, Lawrence Livermore National Laboratory Technical Report No. LLNL-TR-586694 (2012) (unpublished)
W. Younes, D. Gogny, N. Schunk, In: J.H. Hamilton, A.V. Ramayya (eds.) Proceedings of the Fifth International Conference on ICFN5, Sanibel Island, 4–10 Nov 2012, p. 605. World Scientific (2013)
M. Warda, J.L. Egido, L.M. Robledo, K. Pomorski, Phys. Rev. C 66, 014310 (2002)
S. Weinberg, In: Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Part 2, Chaps. 3–4. Wiley, New York/London/Sydney/Toronto (1972)
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This chapter was prepared by a contractor of the U.S. Government under contract number DE-AC52-06NA27344. Accordingly, the U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes.
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Younes, W., Gogny, D.M., Berger, JF. (2019). General Concepts. In: A Microscopic Theory of Fission Dynamics Based on the Generator Coordinate Method. Lecture Notes in Physics, vol 950. Springer, Cham. https://doi.org/10.1007/978-3-030-04424-4_4
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