Couplings between dipole and quadrupole vibrations in tin isotopes

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.80.064309· OSTI ID:21296574

Simenel, C; Chomaz, Ph ^[1]

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1. CEA, Centre de Saclay, IRFU/Service de Physique Nucleaire, F-91191 Gif-sur-Yvette (France)

We study the couplings between collective vibrations such as the isovector giant dipole and isoscalar giant quadrupole resonances in tin isotopes in the framework of the time-dependent Hartree-Fock theory with a Skyrme energy density functional. These couplings are a source of anharmonicity in the multiphonon spectrum. In particular, the residual interaction is known to couple the isovector giant dipole resonance with the isoscalar giant quadrupole resonance built on top of it, inducing a nonlinear evolution of the quadrupole moment after a dipole boost. This coupling also affects the dipole motion in a nucleus with a static or dynamical deformation induced by a quadrupole constraint or boost, respectively. Three methods associated with these different manifestations of the coupling are proposed to extract the corresponding matrix elements of the residual interaction. Numerical applications of the different methods to {sup 132}Sn are in good agreement with each other. Finally, several tin isotopes are considered to investigate the role of isospin and mass number on this coupling. A simple 1/A dependence of the residual matrix elements is found with no noticeable contribution from the isospin. This result is interpreted within the Goldhaber-Teller model.

• OSTI ID: 21296574
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevC.80.064309; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COUPLING
DIPOLES
ENERGY DENSITY
GIANT RESONANCE
GIANT RESONANCE MODEL
HARTREE-FOCK METHOD
ISOSPIN
ISOVECTORS
MASS NUMBER
MATRIX ELEMENTS
NONLINEAR PROBLEMS
QUADRUPOLE MOMENTS
QUADRUPOLES
RESIDUAL INTERACTIONS
RESONANCE
SKYRME POTENTIAL
SPECTRA
TIME DEPENDENCE
TIN 132