Fluctuation properties of strength function associated with the giant quadrupole resonance in 208Pb

Abstract

We performed fluctuation analysis by means of the local scaling dimension for the strength function of the isoscalar (IS) giant quadrupole resonance (GQR) in 208Pb where the strength function is obtained by the shell model calculation including 1p1h and 2p2h configurations. It is found that at almost all energy scales, fluctuation of the strength function obeys the Gaussian orthogonal ensemble (GOE) random matrix theory limit. This is contrasted with the results for the GQR in 40Ca, where at the intermediate energy scale about 1.7 MeV a deviation from the GOE limit was detected. It is found that the physical origin for this different behavior of the local scaling dimension is ascribed to the difference in the properties of the damping process.

10 pages, 14 figures, submitted to Physical Review C

References in corpus (2)

• Collective response of nuclei: Comparison between experiments and extended mean-field calculations
• Fluctuation properties of strength functions associated with giant resonances

Cited by in corpus (7)

• Electric and magnetic dipole modes in high-resolution inelastic proton scattering at $0^{\circ }$
• Fine structure of the isoscalar giant quadrupole resonance in 40Ca due to Landau damping?
• Origin of fine structure of the giant dipole resonance in sd-shell nuclei
• Gross, intermediate and fine structure of nuclear giant resonances: Evidence for doorway states
• A systematic study of giant quadrupole resonances with the subtracted second random--phase approximation: beyond--mean--field centroids and fragmentation
• Spreading widths of giant monopole resonance in the lead region: Random matrix approach
• Angela and the electric dipole response -- giant and pygmy, hot and cold, isoscalar and isovector