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Spin-dependent potentials in the linearized collective Schrödinger equation for nuclear quadrupole vibrations (1990)

Greiner, M. ; Heumann, D. ; Scheid, W.

Springer

The European physical journal 336 (1990), S. 139-144

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ISSN: 1434-601X

Keywords: 21.60.E

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract The linearized collective Schrödinger equation for nuclear quadrupole surface vibrations incorporates a new spin degree of freedom with a spin value of 3/2. We use this equation to describe the low energy spectrum of certain even-odd Ir nuclei which have a spin 3/2 in their ground state. For that purpose we explicitly introduce collective spin-dependent potentials which simulate the interaction of the valence nucleon with the core. The linearized Schrödinger equation is transformed into an effective Schrödinger equation with collective spin-dependent potentials. Already collective spin-orbit couplings of SO(3) and SO(5) type are sufficient to reproduce the lowest excited states of even-odd Ir nuclei.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01290614

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