Octupole-Octupole Residual Interactions and Low-Lying <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mn>0</mn></mrow><mrow><mo>+</mo></mrow></msup></mrow></math> Excited States in the Isotopes <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">U</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>232</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">U</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>234</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">U</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>236</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>

R. R. Chasman

doi:10.1103/PhysRevLett.42.630

Octupole-Octupole Residual Interactions and Low-Lying $0^{+}$ Excited States in the Isotopes ${}^{232}U$ , ${}^{234}U$ , and ${}^{236}U$

R. R. Chasman

Phys. Rev. Lett. 42, 630 – Published 5 March 1979

Abstract

Solutions applicable for all interaction strengths are obtained for a schematic Hamiltonian with pairing forces and particle-hole octupole-octupole forces. The method is applied to the light U isotopes. Adjusting the particle-hole interaction strength to the measured $K^{π} = 0^{-}$ excitation energies leads to an immediate explanation for the low-lying $0^{+}$ excited states in this region.