Separation Energies and Nuclear Structures in Light Nuclei
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概要
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The separation energies of light nuclei 10≲A≲50 are considered in relation to the nuclear structure. We can grasp the physical meaning of the complicated variation of the separation energies of nucleons from nucleus to nucleus phenomenologically, by comparing them with the contributions to the separation energies, from each term of the semi-empirical mass formula. The systematic deviation of the separation energies from the semi-empirical mass formula disappears by the corrected mass formula by the uniform model which assumes the two-body interactions between symmetric pairs in supermultiplet structure. This strongly supports that the symmetry effect of the nuclear binding energy originates from the above mentioned two-body interactions. The deviations of the separation energies from the corrected mass formula of the uniform model show the evidences to support the independent particle model. In this mass region, the nucleus has, besides the dominant supermultiplet structure, the j-j coupling shell structure. The comparison between the mass formula and the above mentioned potential energy of two-body interactions which give the symmetry effects quantitatively, and the requirement that the separation energy is nearly equal to the depth of the energy level of the last nucleon measured from the top of the potential in the independent particle model, lead us to the conclusion that there are other kinds of nuclear potential energies which are not sensitive to the symmetry effect and to the "expansibility" of the nucleus, and bear about a half of the total potential energy of the nucleus. And then, the depth of the average potential for the last nucleon is estimated to be about 50 Mev and is a linearly decreasing function of X(X=Z-N for protons, X=N-Z for neutrons).
- 理論物理学刊行会の論文
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関連論文
- On the Many-body Problem in the Intermediate Coupling Theory, I
- The Theory of Finite Degree of Freedom and the Structure of Nucleons
- Separation Energies and Nuclear Structures in Light Nuclei