Energy Density Functionals at SurreyProton decay (A Cannon, J S Al-Khalili & P D Stevenson)

Γ =

4h2α 2

μkϕ0 (R)Fl (kR)

2

TDHF: 3D Skyrme with all terms (except tensor)

Collisions:

Mass distribution in fragments too small in TDHF

Balian-Veneroni variational principleRoger Balian and Marcel Vénéoni, Phys. Rev. Lett. 47, 1353 (1981)

BCS-version: R. Balian, H. Flocard, and M. Vénéroni, Phys. Rep. 317, 251 (1999)

re-cast variational principle to optimise 2-body operator of choice.

Calculation of fluctuation of one-body operator:

TDHF:

BV:

B-V

In terms of TDHF code implementation, boundary condition is

then

Can then e.g. look at mass fluctuation in collisions:

Giant Resonances From TDHF

J. A. Maruhn, P.-G. Reinhard, P. D. Stevenson, J. Rikovska Stone and M. R. Strayer, Phys. Rev. C 71, 064328 (2005)

P. D. Stevenson, D. Almehed, P.-G. Reinhard and J. A. Maruhn, Nucl. Phys. A 788, 343 (2007)