Effects of the Degeneracy on the Bethe-Goldstone Type Equation for ^<18>O
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概要
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By taking properly the degeneracy of the ground state of a non-perturbed system into account, the equation of relative motion is separated from the Bethe-Goldstone type equation for two extra neutrons of ^<18>O, then the equation depends on the eigenvalue of the two neutron system. These equations are solved self-consistently and numerically using a free nucleon-nucleon potential. For this purpose, a formula to hard core spike is derived, when two nucleons are in a common harmonic oscillator potential. The equation of relative motion has an inhomogeneous term which depends on the matrix element of the free nucleon-nucleon potential, as a result of the effect of the degeneracy. The equation of the relative motion is correctly solved for singlet s-state only, for simplicity. The dependence of the matrix elements of the free nucleon-nucleon potential on two-particle state is negligible but the absolute values of the matrix elements are reduced appreciably. The degeneracy increases the repulsive effect of hard core and this effect reduces the absolute values of the matrix elements. As a result of this reduction. the binding energies of the spin 0 states are reduced very much, especially for the ground state, and agreement between the calculated level scheme and the experimental ones is not good, although the Pauli principle is treated approximately and the core excitation is neglected in this lowest order calculation.
- 理論物理学刊行会の論文
- 1968-03-25
著者
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Suekane Shota
Department Of Physics Osaka City
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Suekane Shota
Department Of Physics Faculty Of Science Osaka City University
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Suekane Shota
Department of Physics, Osaka City
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