QRPA calculations give important information about excited state
properties of nuclei. The Fidipro nuclear theory group at the
Dept. of Physics, University of Jyväskylä, has been developing
advanced QRPA solvers based on Energy Density Functionals since 2008.
Our goal is to produce fully self-consistent (ground state and QRPA
with the same Energy Density Functional (EDF)) QRPA solvers both for
axial and triaxial nuclei to the public domain. The solvers use
iterative diagonalization methods generalized to handle the RPA
eigenproblem [1].
The codes in development are HOSPHE-QRPA, whose HF version [2] has
been published and QRPA enhanced version of HFODD [3]. Our iterative
solution method has been shown to be stable, fast and resource
efficient, and thus it is a good choice for more demanding QRPA
calculations.
The next step in the QRPA project is to demonstrate the feasibility
of iterative Arnoldi method when pairing is included and when the
QRPA dimensions become very large, as with deformed nuclei.
Our final goal is to be able to make accurate iterative QRPA calculations
across the whole nuclear chart using either standard Skyrme or
generalized EDFs.
[1] J. Toivanen, B.G. Carlsson, J. Dobaczewski, K. Mizuyama,
R.R. Rodríguez-Guzmán, P. Toivanen, and P. Veselý, Linear response
strength functions with iterative Arnoldi diagonalization
arXiv:0912.3234, submitted to Phys. Rev. C.
[2] B.G. Carlsson, J. Dobaczewski, J. Toivanen, and P. Veselý,
Solution of self-consistent equations for the N3LO nuclear ener gy
density functional in spherical symmetry. The program HOSPHE (v1.00)
arXiv:0912.3230, submitted to Computer Physics Communications.
[3] J. Dobaczewski, W. Satuła, B.G. Carlsson, J. Engel,
P. Olbratowski, P. Powałowski, M. Sadziak, J. Sarich, N. Schunck,
A. Staszczak, M.V. Stoitsov, M. Zalewski, and H. Zduńczuk, Solution of
the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed
harmonic-oscillator basis. (VI) HFODD (v2.40h): a new version of the
program, Comp. Phys. Commun. 180, 2361 (2009)