Where is the Scissors Mode Strength in Odd-Mass Nuclei?

Abstract

It is demonstrated by a fluctuation analysis based on the assumption of a Wigner distribution for the nuclear level spacings and of a Porter-Thomas distribution for the transition strengths that significant parts of the dipole strength excited in photon scattering experiments in heavy, deformed odd-mass nuclei are hidden in the background of the experimental spectra. With this additional strength, the heretofore claimed severe reduction of the $B(M1)$ scissors mode strength in odd-mass nuclei compared to the one in neighboring even-even nuclei disappears.