Low-lying dipole response in the stable 40,48^{40,48}Ca nuclei with the second random-phase approximation

Jul, 2011
11 pages
Published in:
  • Phys.Rev.C 84 (2011) 034301
e-Print:

Citations per year

201120152019202320250246810
Abstract: (arXiv)
Low-energy dipole excitations are analyzed for the stable isotopes 40^{40}Ca and 48^{48}Ca in the framework of the Skyrme-second random-phase approximation. The corresponding random-phase approximation calculations provide a negligible strength distribution for both nuclei in the energy region from 5 to 10 MeV. The inclusion and the coupling of 2 particle-2 hole configurations in the second random-phase approximation lead to an appreciable dipole response at low energies for the neutron-rich nucleus 48^{48}Ca. The presence of a neutron skin in the nucleus 48^{48}Ca would suggest the interpretation of the low-lying response in terms of a pygmy excitation. The composition of the excitation modes (content of 1 particle-1 hole and 2 particle-2 hole configurations), their transition densities and their collectivity (number and coherence of the different contributions) are analyzed. This analysis indicates that, in general, these excitations cannot be clearly interpreted in terms of oscillations of the neutron skin against the core with the exception of the peak with the largest B(E1)B(E1) value, which is located at 9.09 MeV. For this peak the neutron transition density dominates and the neutron and proton transition densities oscillate out of phase in the internal part of the nucleus leading to a strong mixing of isoscalar and isovector components. Therefore, this state shows some features usually associated to pygmy resonances.
  • 21.10.Re
  • 27.40.+z
  • 21.60.Jz
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