The g factor of the '-~s tate in Sc is discussed within the framework of the conventional shell model. An inert Ca core is assumed. The effective interaction derived for this mass region by Kuo and Brown is used. It is shown that the g factor can be well explained with a small configuration mixing. The g factor of the 6+ state in Ca is also discussed.The explanation of the measured magnetic dipole moments provides a useful probe in the study of nuclear structure. %'ith the j-j coupling shell model, the various features of the deviations of magnetic dipole moments from the Schmidt values were interpreted by configuration mixing for almost the whole region of nuclei. ' Freed and Kisslinger' carried out the calculations using the same method, but within the framework of the pairing model. For the magnetic dipole moments of p,~, -shell nuclei, the importance of the tensor force which causes the configuration mixing is emphasized in the explanation of the small deviations from the Schmidt values. ' However, these calculations were restricted to the magnetic dipole moments of the ground state of odd-mass nuclei, where the mixed senioritythree configurations were assumed to be the initial nucleon of the seniority-one configuration coupled to the other two nucleons of the same kind having equal orbital angular momenta and J = 1.The deviations from the Schmidt values of the magnetic dipole moments of high-spin excited states have been studied in the '"Pb region' and A = 88 region. ' The anomalous g'" factor of about
The effectjve interactions bebveen nucleons in the s-d, shells are investigated from an exact shell-model calculation via a least-squares fit of the experimental energy spectra of the normal-parity states in the 18 is 200 is is 207 and 20Ne nuclei. The effects of-the d3/s ingle-particle orbit in shell-model calculat1ons of light s-d-shell nuclei are discussed brieQy. The bvo-body Inatrjx elements are compared with those calculated by Kuo and hy Arima et al.A great deal of effort has been made during the last fem years to compute the two-body matrix elements of the residual interaction of the nucleons iII the s-d shells. Using the Hamada-Johnston potential, Kuo and Brown' have calculated the tmobody matrix elements mhich closely resemble the values worked out by Kuo. ' Elliott et a/. ' have determined the matrix elements of the relative motion from the experimental data of the nucleonnucleon phase shifts in a basis of harmonic-oscillator wave functions. Without any assumption on the shape of the sheQ-model potential or on the residual interaction, however, the tmo-body matrix elements were calculated from a leastsquares fit to energy-level data by Arima et aL. 'and Wildenthal et a/. ' In the last cases (in which only nuclei with A. =18-20 mere studied by Arima et aE. , and the nuclei with 20 &A & 28 vere investigated by Wildenthal et al. ) an inert "0 core wRs assumedy Rnd the d5(2 and sip@ orblts were included in the active model space. All of the two-body matrix elements of the residual interaction computed with different methods were compared by Abulaffio. ' The agreement is poor. Therefore, he suggested that Elliott's data' could be used to perform a mixed calculation with part of the two-body matrix element left as free parameters and part constrained to Elliott's values. In this way one could extend the basis without increasing the number of free parameters.The calculations of this work are made within the framework of the conventional shell model. An inert ' 0 core is assumed. The ds&2, s"~, and dsg2 orbits Rre included 1Il the active model spaceb ut the number of particles in the d, &2 orbit is always restricted to 0, I, or 2. The tmo-body matrix elements which contain one or more than one nucleon in the d"2 orbit are taken to be those calculated by Kuo. ' The 16 matrix elements which have the nucleons in the d", and s», orbits are left as the free parameters. The energies of the single-particle levels me adopted are from the observed values for "9: e(ld, ») = 0.0 MeV, c{2s»,) = 0. 8'I MeV, c(1 d»2) 5' 08 MeV These are held fixed throughout the calculation. With this restriction on the allowed configurations, the 16 matrix elements of the residual two-body interaction for the nucleons in the (d»"s», ) orbits are varied until a best fit to the 37 states of well-known spin and parity in 0 ' ' F RIll Ne ls obtRlned.The results of our least-squares fit to the energy-level data are shown in columns 7 and 8 of Table I, where column 7 gives the theoretical energies and column 8 displays the intensities of the con...
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