INT DFT Workshop Home Page
The workshop Towards a Universal Density Functional for the Nucleus, took place at the Institute for Nuclear Theory in Seattle on September 26-30, 2005, during the first week of the fall INT program Nuclear Structure Near the Limits of Stability (INT-05-3).
Below you may find:
List of Participants,
List of Talks,
Workshop Schedule, and
Homework Problems.
This workshop brought together experts working on different aspects of density functional theory, which are important in developing a universal density functional for nuclei. The main topics of the meeting included:
Our workshop was the third in a series of meetings, after the 2004 workshop on Relativistic Density Functional Theory for Nuclear Structure at the INT and 2003 workshop on Density Functional Theory in Nuclear Structure at ECT*, Trento.
Jacek, Achim, and Dario
Monday
Tuesday
Wednesday
Thursday
Friday
08:30-09:00
wake-up coffee
wake-up coffee
wake-up coffee
wake-up coffee
wake-up coffee
09:00-09:40
Negele
Finelli
Bogner
Bender
Berger
09:50-10:30
Tao
Serot
Lenske
Ring
Stoitsov
10:40-11:10
coffee
coffee
coffee
coffee
coffee
11:10-11:50
Furnstahl
Nazarewicz
Lee
Robledo
Skalski
12:00-15:00
lunch break
+discussions
lunch break
+discussions
lunch break
+discussions
lunch break
+discussions
lunch break
+discussions
15:00-15:40
Horowitz
Pearson
Papenbrock
Matsuo
Duguet
15:50-16:30
Bhattacharyya
discussion
Auerbach
discussion
Paar
Fuchs
Yamagami
Bennaceur
16:40-17:10
coffee
coffee
coffee
coffee
coffee
17:10-17:50
discussion
discussion
discussion
Rodriguez
discussion
Lesinski
discussion
Over the lunch at the Little Thai restaurant, and after having an overdose of iced water, the organizers of the workshop joined forces with Witek Nazarewicz to formulate three simple (to formulate) problems pertaining to the subjects presented and discussed during the workshop.
We challenge every participant, and also every living soul for that matter, to answer one or all of the questions posed below. Answers are due before or at the next DFT workshop, wherever and whenever it takes place. They will be evaluated by the panel composed of us four, naturally. All evaluations are final and not subject to appeal. The winner(s) will be awarded one bottle of champaign per each problem solved; the quality of champaign will be commensurate with the quality of provided solutions.
What is the ground state of infinite, spin-symmetric nuclear matter
(protons and neutrons) at low densities, interacting with 2- and 3-body
contacts? The scattering length in the 2-body T=1 channel is infinite.
The strength of the 3-body contact must ensure saturation with
increasing
isoscalar density. The resulting density functional must be isospin
invariant, and clusterisation must be considered. The parameter space
of the system are: (i) the isoscalar and isovector average densities,
(ii) the scattering length in the 2-body T=0 channel, and (iii) the
strength of the 3-body contact (as long as it provides saturation).
How can one replace in a nuclear density functional:
(i) dependence on momentum by dependence on density, or
(ii) dependence on density by dependence on momentum?
The fact of life that nuclei are finite systems composed of protons
and neutrons must not be ignored, forgotten, disregarded, neglected,
or otherwise assumed irrelevant. The consequences of the proposed
replacements must be considered in the context of (i) constructing
functionals from first principles (e.g., how to replace the Fermi
momentum for the density), (ii) conserving symmetries (e.g., how
to construct an isospin-invariant density functional from microscopic
results for asymmetric matter), and (iii) restoring broken symmetries.
Can we formulate a DFT for symmetry-restored states?
The aim is to obtain the laboratory ground-state energy for a system which
breaks a symmetry in the intrinsic frame. Degeneracy of symmetry-breaking
states with respect to shifts by symmetry operators must not be forgotten. A
restriction of solution to gauge-symmetry breaking, related to
particle-number mixing is acceptable.
Solutions based on projection methods may be considered only if they
avoid known drawbacks.
Achim, Dario, Jacek, and Witek
PS. If you need to google these problems use adajawi.
Last modified: October 4, 2005