Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing

Details Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing

2010-11-27

arxiv.org/abs/1011.5944v1

Physics

Nuclear Physics

Nuclear Theory

13 pages, no figures, Contribution to the XII International Conference on Geometry, Integrability and Quantization, June 04-09

Scientific paper

Many exactly solvable models are based on Lie algebras. The pairing interaction is important in nuclear physics and its exact solution for identical particles in non-degenerate single-particle levels was first given by Richardson in 1963. His solution and its generalization to Richardson-Gaudin quasi-exactly solvable models have attracted the attention of many contemporary researchers and resulted in the exact solution of the isovector pn-pairing within the so(5) RG-model and the equal strength spin-isospin pn-pairing within the so(8) RG-model. Basic properties of the RG-models are summarized and possible applications to nuclear physics are emphasized. MSC2010 Classification: 81U15 Exactly and quasi-solvable systems, 17B81 Applications to physics, 81V35 Nuclear physics, 81R40 Symmetry breaking.

Affiliated with

Also associated with

No associations

Rating

Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-589114