Linear response strength functions with iterative Arnoldi diagonalization

Abstract

We report on an implementation of a new method to calculate RPA strength functions with iterative non-hermitian Arnoldi diagonalization method, which does not explicitly calculate and store the RPA matrix. We discuss the treatment of spurious modes, numerical stability, and how the method scales as the used model space is enlarged. We perform the particle-hole RPA benchmark calculations for double magic nucleus 132Sn and compare the resulting electromagnetic strength functions against those obtained within the standard RPA.

9 RevTeX pages, 11 figures, submitted to Physical Review C

References in corpus (4)

• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• Self-consistent description of multipole strength: systematic calculations
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited

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