Nuclear Moments and Configuration Mixing

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概要

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• The nuclear static moments are calculated from the standpoint of configuration mixing in the jj-coupling shell model. The residual interactions between particles in different orbits are taken as the cause of the configuration mixing. They are estimated from the observed data on the pairing energies assuming pure configurations. The calculations of nuclear moments are based on the first order perturbation theory. The single-particle energy differences in the energy denominators are estimated from a shell model Hamiltonian which gives fairly good agreement with observed single-particle levels, and the denominators contain the pairing effects in the zeroth order states. Both the harmonic oscillator and square well wave functions are adopted as the single-particle wave functions. Various features of the deviations of magnetic dipole moments from the Schmidt lines are well interpreted by the configuration mixing for almost the whole region of nuclei. The quadrupole moment of odd-neutron nucleus can be accounted for from the mixing of excited states of the ground configuration and of higher configurations of even numbers of protons. For those of odd-proton nuclei, the corrections by the similar mixing are almost as large as the single-proton values so that the quadrupole moments of the medium-weight nuclei which are two to three times as large as the single-proton values can be explained. However, the large quadrupole moments of the heavy nuclei cannot be interpreted by the perturbational treatment of the configuration mixing. The corrections to the magnetic dipole moments of odd-odd nuclei are also calculated and good agreement with observed values are obtained. The magnetic octupole moments of odd-A nuclei are also considered on the same basis and general features of the observed values are well accounted for. However, the observed values are so few that a definite conclusion cannot be drawn. The numerical results are not sensitive to the choice of the single-particle wave functions, as far as the harmonic oscillator and the square well wave functions are employed. The second order effects are estimated by calculating the mixing probabilities of excited configurations into the ground state for a simple example of S^<33>, and the treatment by the first order perturbation theory appears justified at least for the medium-weight nuclei. The interactions with finite ranges are also considered and it is shown that, if a suitable exchange character is adopted for the interactions, the results are not much different from those by the delta-function interactions.

• 理論物理学刊行会の論文

著者

• Arima Akito

  Institute For Nuclear Study University Of Tokyo

• Horie Hisashi

  Physics Department Tokyo Institute Of Technology

• Noya Hiroshi

  Physics Department Tokyo Institute Of Technology

• NOYA Hiroshi

  Physics Department, Tokyo Institute of Technology

関連論文

• Intensities of Forbidden Lines of Atoms in p^n-configuration
• Nuclear Moments and Configuration Mixing
• The l-Forbidden Magnetic Dipole Transitions

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