Magnetic Dipole Sum Rules for Odd-Mass Nuclei

Abstract

Sum rules for the total- and scissors-mode M1 strength in odd-A nuclei are derived within the single-j interacting boson-fermion model. We discuss the physical content and geometric interpretation of these sum rules and apply them to ^{167}Er and ^{161}Dy. We find consistency with the former measurements but not with the latter.

Comments: 13 pages, Revtex, 1 figure, Phys. Rev. Lett. in press