By assigning a pseudo-spin and pseudo-orbital angular momentum (b-spin and c-spin) to the single-particle states in a mixed configuration of identical nucleons, it is possible to classify as B = 0 objects both the favored pair operators of the surface delta interaction (SDI) and the multipole moment operators, (the latter under suitable assumptions). The favored pair is defined for each J as the specific superposition of two-particle states acted upon by this separable interaction. The SD1 is diagonal in the total Band C-spins; the eigenvalues of a (B, C) multiplet are independent of the total angular momentum J, (J = B+C); and all states with B = &v are degenerate (v = total seniority). For the case of a degenerate doublet of levels (I,, (1+2),+ r), e.g. (d+gs) or (fsh+), the specification, B = 0, defines the favored pairs uniquely, and 2B counts the number of nucleons not members of favored pairs. Exact calculations for the (dtg+) system show that states with B < iv cluster closely about their centers of gravity; therefore, to a good approximation the SD1 can be replaced by a generalized pairing interaction depending only on B and v. Possible generalizations are discussed for the case of many degenerate single-particle levels, where this generalized pairing interaction is no longer a good approximation.
To test the possible usefulness of the pseudo SU(3) coupling scheme a few nuclear properties are examined which can be expected to be governed largely by the (lg$d~2d+3s+) part of the proton configuration for odd-2 nuclei and the (lh2fs2f*3p+3p+) part of the neutron configuration for odd-N nuclei. The equivalence between these configurations and pseudo oscillator shells
The torsional oscillation between the two OH groups of the hydrogen peroxide molecule is investigated through a study of the far-infrared absorption spectrum of the molecule. A 1-m-focal-length vacuum grating monochromator was used to scan the region from 15 to 700 cm-I with an average resolution of 0.3 em-I. The observed spectrum contains seven perpendicular-type bands of which only the Q branches are resolved.
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