Jacek Dobaczewski

QRPA method within themean-field+Lanczos approach

The FIDIPRO teamUniversity of Jyväskylä

FIDIPRO-UNEDF collaboration meeting onnuclear energy-density-functional methods

Jyväskylä, October 9-10, 2008

Jacek Dobaczewski

Motivation & Background1. Standard RPA and QRP calculations in deformed

nuclei are very difficult because of exploding size of two-(quasi)particle space:• matrices of size N2N2 must be diagonalized,

for the single-particle space of N~100 (axial symmetry) or N~1000 (triaxial symmetry) .

• calculation of the two-body matrix elements is the bottleneck.

2. RPA and QRPA methods are based on the time-dependent EDF (DFT), which is believed to be well founded for calculation of excited states.

3. No extension to beyond-mean field is necessary.4. The same functional defines RPA-QRPA and

ground states.5. Beta decay rates known in many (deformed)

nuclei:• invaluable source of data for adjusting

functionals• in strong demand from experimentalists• crucial for extrapolations and astrophysics

Jacek Dobaczewski

RPA method

Jacek Dobaczewski

New approach

Jacek Dobaczewski

Discussion points

Jacek Dobaczewski

Discussion points

Jacek Dobaczewski

Stay tuned