ISSN:
1434-601X
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The isobaric energy splitting ΔE(n, l, j) betweenT 〉- andT 〈-single particle states in the shell (2d 5/2, 2d 3/2, 1g 7/2, 3S 1/2) has been experimentally determined for91Nb from a study of the reaction90Zr(3He,d)91Nb. The splitting of the 1g 7/2-states is found to be about 25% larger than that of the3 s 1/2-states. The observed dependence of the energy splitting ΔE(n, l, j) on the shell model quantum numbers (n, l, j) of the states is reproduced by the expression $$\Delta {\rm E}(n, l, j) = \frac{1}{2}(2T + 1) \left\langle {\phi _ 〉 ^{n l j} | U_1 (r)|\phi _ 〉 ^{n l j} } \right\rangle$$ , which is based on approximate solutions of Lane's equations.φ 〉 nlj is the wave function of the parent state in the (nC) system. There is evidence, that only a Lane potentialU 1(r) of surface type can reproduce the observed strong dependence of ΔE(n, l, j) on the quantum numbers. The depthŪ 1 of Lane's potential is found to be 2.0 MeV.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01400543
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