Continuum QRPA response for deformed neutron-rich nuclei

Abstract

We discuss properties of the quadrupole collective excitation of the deformed neutron-rich nucleus ${}^{38}$Mg within the framework of quasi-particle random phase approximation (QRPA). We first solve the coupled-channels equations to obtain the single-particle levels, and construct the ground state by treating the pairing correlations in the BCS approximation. We then solve the QRPA equation using the response function formalism, by including the continuum spectra with the box dicscretization method. We show that the collectivity of the gamma vibration (the lowest $K^{\pi }=2^{+}$ mode) is significantly enhanced if protons and neutrons have different deformations. We also discuss an attempt towards full continuum QRPA calculations for deformed nuclei.

8 pages, 2 eps figures. Use espcrc1.sty. A talk given at the International Conference on Collective Motion in Nuclei Under Extreme Conditions (COMEX1), June 10 - 13, 2003, Paris, France. To be published in the proceedings (Nucl. Phys. A)

References in corpus (3)

• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Continuum QRPA in the coordinate space representation

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• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid deformed nuclei
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron
• Skyrme-QRPA calculations for low-lying excitation modes in deformed neutron-rich nuclei
• Dynamic Pairing Effects on Low-Frequency Modes of Excitation in Deformed Mg Isotopes close to the Neutron Drip Line
• Microscopic description of large amplitude collective motion in the nuclear astrophysics context