Elimination of spurious modes within QRPA

Abstract

We suggest a generalized method for elimination of spurious admixtures (SA) from intrinsic nuclear excitations described within the Quasiparticle-Random-Phase-Approximation (QRPA). Various kinds of SA-corrections are treated at the same theoretical ground. The known corrections are well reproduced. As relevant cases, we consider subtraction of SA related with i) violation of the translational invariance (isovector E1 and isoscalar toroidal and compression E1 modes), ii) pairing-induced non-conservation of the particle number (E2(K=0) and E0 modes), and iii) rotational invariance (E2(K=1) and M1(K=1) modes). The SA subtraction can be done at the level of QRPA states, electromagnetic responses, and even transition operators. The additional deformation-induced corrections are proposed. The accuracy of the method is demonstrated by Skyrme QRPA calculations for axially-deformed ${}^{154}$Sm.

arXiv comment13 pages, 7 figures, to be published in Phys. Rev. C

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• Systematics of toroidal dipole modes in Ca, Ni, Zr, and Sn isotopes
• Magnetic dipole excitations based on the relativistic nuclear energy density functional
• Isoscalar monopole and quadrupole modes in Mo isotopes: microscopic analysis
• Isoscalar giant monopole resonance in ${}^{24}$Mg and ${}^{28}$Si: Effect of coupling between the isoscalar monopole and quadrupole strength
• Microscopic analysis of low-energy spin and orbital magnetic dipole excitations in deformed nuclei
• Individual dipole toroidal states: main features and search in (e,e') reaction
• Isoscalar monopole and dipole transitions in ${}^{24}$Mg, ${}^{26}$Mg and ${}^{28}$Si
• QRPA calculations for M1 transitions with the noniterative finite amplitude method and the application to neutron radiative capture cross sections
• The evolution of magnetic dipole strength in ${}^{100-140}$ Sn isotope chain and quenching of nucleon g factors
• Coupling between collective modes in the deformed ${}^{98}$Zr nucleus: Insights from consistent HFB+QRPA calculations with the Gogny interaction
• Low-energy M1 states in deformed nuclei: spin-scissors or spin-flip?
• Microscopic analysis of dipole electric and magnetic strengths in ${}^{156}$Gd
• Spurious dipole mode in random-phase approximation and in the RPA-based models