Title

Non-linear phenomena in nuclei: The antisoliton model for fission

Document Type

Article

Publication Date

1-1-1999

Abstract

The non-linear solutions of the Modified Korteweg-de Vries (MKdV) equations travel on the nuclear surface of medium-heavy nuclei and generate highly deformed shapes. The cnoidal and soliton solutions provide the existence of rotons as large amplitude collective oscillations. The dynamics is based on the nonlinear equations and Hamiltonian of a realistic liquid drop model (LDM). The antisoliton solutions are obtained through a general formulation of nonrelativistic quantum mechanics in terms of density and current operators. The quantum averaging of the antisoliton pair rotation describes symmetric or asymmetric fission modes. The nuclear asymmetry near the scission point seems to be in qualitative agreement with the general shapes considered in all other phenomenological fission models.

Publication Source (Journal or Book title)

Revista Mexicana de Fisica

First Page

80

Last Page

85

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