The congruence energy: a contribution to nuclear masses,deformation energies and fission barriers |
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| Affiliation: | 1. Key Laboratory for Green Chemical Process of Ministry of Education, Hubei key Laboratory of Plasma Chemistry and Advanced Materials, School of Material Science and Engineering, School of Science and Laboratory of Optical Information Technology, Wuhan Institute of Technology, Wuhan 430074, China;2. Institute for Materials Research, Tohoku University, 2-1-1 Katahira, Sendai 980-8577, Japan |
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| Abstract: | The difference between measured binding energies and those calculated using a shell- and pairing-corrected Thomas-Fermi model can be described approximately by C(I) = −10 exp(−4.2{I}) MeV, where I = (N - Z)/A. Our interpretation of this extra binding is in terms of the granularity of quantal nucleonic density distributions, which leads to a stronger interaction for a neutron and proton with congruent nodal structures of their wave functions. The predicted doubling of this congruence energy in fission is supported by an analysis of measured fission barriers and by a study of wave functions in a dividing Hill-Wheeler box potential. A semi-empirical formula for the shape-dependent congruence energy is described. |
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