Collective vibrational states with fast iterative QRPA method

Abstract

An iterative method we previously proposed to compute nuclear strength functions is developed to allow it to accurately calculate properties of individual nuclear states. The approach is based on the quasi-particle-random-phase approximation (QRPA) and uses an iterative non-hermitian Arnoldi diagonalization method where the QRPA matrix does not have to be explicitly calculated and stored. The method gives substantial advantages over conventional QRPA calculations with regards to the computational cost. The method is used to calculate excitation energies and decay rates of the lowest lying 2+ and 3- states in Pb, Sn, Ni and Ca isotopes using three different Skyrme interactions and a separable gaussian pairing force.

10 pages, 11 figures

References in corpus (5)

• Finite amplitude method for the quasi-particle-random-phase approximation
• Self-consistent description of multipole strength: systematic calculations
• Axially deformed relativistic Hartree Bogoliubov with separable pairing force
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Non-empirical pairing functional

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• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
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• Isovector spin-singlet (T=1, S=0) and isoscalar spin-triplet (T=0, S=1) pairing interactions and spin-isospin response
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• Efficient calculation for the quasiparticle random-phase approximation matrix
• Energy-density-functional calculations including the proton-neutron mixing
• Fluctuating parts of nuclear ground state correlation energies
• Nuclear spectra from low-energy interactions
• Pairing in spherical nuclei: quasi-particle random phase approximation calculations with the Gogny interaction
• Finite-amplitude method: An extension to the covariant density functionals
• Low-lying states in near-magic odd-odd nuclei and the effective interaction
• Coulomb and spin-orbit interactions in random phase approximation calculations
• Finite amplitude method in linear response TDDFT calculations