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



List of Participants


  1. Naftali Auerbach
  2. Michael Bender
  3. Karim Bennaceur
  4. Jean-Francois Berger
  5. Anirban Bhattacharyya
  6. Scott Bogner
  7. Piotr Borycki
  8. Thomas Duguet
  9. Paolo Finelli
  10. Christian Fuchs
  11. Dick Furnstahl
  12. Charles Horowitz
  13. Dean Lee
  14. Horst Lenske
  15. Thomas Lesinski
  16. Masayuki Matsuo
  17. Witek Nazarewicz
  18. John Negele
  19. Nils Paar
  20. Thomas Papenbrock
  21. Michael Pearson
  22. Peter Ring
  23. Luis Robledo
  24. Tomas Rodriguez
  25. Vincent Rotival
  26. Brian Serot
  27. Amritanshu Shukla
  28. Janusz Skalski
  29. Mario Stoitsov
  30. Jianmin Tao
  31. Masayuki Yamagami


List of Talks


  1. Naftali Auerbach: Nuclear Structure and Neutrino-Nucleus Interactions
  2. Michael Bender: Going beyond the mean-field: configuration mixing of symmetry-restored mean-field states
  3. Karim Bennaceur: Pairing schemes for HFB calculations: Results and discussions
  4. Jean-Francois Berger: The Gogny force: recent improvements; towards a new parameterization
  5. Anirban Bhattacharyya: Incorporating Spin-Orbit in Kohn-Sham DFT
  6. Scott Bogner: Simplifying the Nuclear Many-Body Problem with Low Momentum Interactions
  7. Thomas Duguet: Pairing schemes for HFB calculations of nuclei: Formal aspects
  8. Paolo Finelli: Relativistic nuclear energy density functional constrained by low-energy QCD
  9. Christian Fuchs: Isospin dependence of the mean field from relativistic Brueckner-Hartree-Fock
  10. Dick Furnstahl: Density Functional Theory from Effective Actions
  11. Charles Horowitz: Cluster formation in low density nuclear matter and the virial expansion: implications for density functionals
  12. Dean Lee: Lattice simulations of cold dilute neutron matter
  13. Horst Lenske: ab initio DFT for Nucleons and Hyperons
  14. Thomas Lesinski: Fitting the parameters of a Skyrme-type interaction using a microscopic effective interaction in the pairing channel
  15. Masayuki Matsuo: Small neutron Cooper pair at low density: BCS-BEC crossover and interactions
  16. Witek Nazarewicz: (i) Nuclear DFT and Maximum-Spin States, (ii) Microscopic Leptodermous Expansion
  17. John Negele: Density Functional Theory for Nuclei: Old Ideas and New Questions
  18. Nils Paar: Collective excitations in atomic nuclei based on density functionals and correlated nucleon-nucleon interactions
  19. Thomas Papenbrock: Density functional theory for fermions in the unitary regime
  20. Michael Pearson: HFB mass models
  21. Peter Ring: Covariant density functional theory for excited states in nuclei
  22. Luis Robledo: Beyond mean field calculation with the density dependent Gogny force
  23. Tomas Rodriguez: Correlations Beyond the Mean Field: Towards Variation After Projection Solutions
  24. Brian Serot: Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
  25. Janusz Skalski: Fusion (fission) barriers from self-consistent calculations as a DF test
  26. Mario Stoitsov: Density Functional Theory and Symmetry Restoration in Nuclei
  27. Jianmin Tao: Nonempirical Construction of a Meta-GGA Density Functional and Useful Extensions
  28. Masayuki Yamagami: Continuum effects for many-body correlations in nuclei close to the neutron drip line


Workshop Schedule



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


Homework Problems


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.

Problem No. 1

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).

Problem No. 2

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.

Problem No. 3

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