Exact solution of the nuclear pairing problem

Volya, A, B. ALEX BROWN, Zelevinsky, V

Published Nov 21, 2000• 62 citations

Abstract

A method is developed for exact treatment of the general pairing problem in a finite Fermi-system. The method is based on SU(2) quasispin algebras that are present in the problem. We show examples of practical applications of the method and its comparison with approximate treatments.

Related papers

Comparison between exact and approximate treatments of the pairing interaction for finite Fermi systems

J. Dukelsky, G.G. Dussel, Jorge G. Hirsch +1 more

Nuclear Physics AJan 30, 200335 citations

Solutions of nuclear pairing

A. B. Balantekin, Yamaç Pehlivan

We give the exact solution of orbit dependent nuclear pairing problem between two nondegenerate energy levels using the Bethe ansatz technique. Our solution reduces to previously solved cases in the appropriate limits including Richardson's treatment of reduced pairing in terms of rational Gaudin algebra operators.

arXiv:0710.3941Physical Review CNov 14, 200718 citations

Pairing correlations in finite nuclear systems

D. Gambacurta, Michelangelo Sambataro

We discuss an approach for the treatment of correlations in finite nuclear systems. The approach is based on a boson formalism, the basic boson operators representing elementary particle-hole excitations. We show an application of the method within an exactly solvable multilevel pairing model. We calculate the correlation energy of the system and compare it with the exact results as well as with results obtained within other approaches.

Physics of Atomic NucleiOct 1, 20040 citations

Multipair approach to pairing in finite nuclear systems

Michelangelo Sambataro

A method is described to construct the ground state of a general pairing Hamiltonian for a finite nuclear systemas a product of collective, real, distinct pairs. These are determined sequentially via an iterative variational procedure that resorts to diagonalizations of the Hamiltonian in restricted model spaces. Different applications of themethod are provided that include comparisonswith exact and projected BCS results. The quantities that are examined are correlation energies, occupation numbers and pair transfer matrix elements. The method is seen to work well leading, under some circumstances, to solutions that are basically exact.

AIP conference proceedingsJan 1, 20120 citations

Particle conserving approach to nuclear pairing

Alexander Volya, Vladimir Zelevinsky

We discuss a method for treating the general pairing problem in a nite Fermisystem without violating the particle number conservation.The operator equations of motion are brought to the form of the recurrence relations with respect to the particle number.Examples of applications are shown.The results reproduce the exactly solvable models and consistently display an advantage compared to the conventional BCS solution.Extensions of the method are discussed.

Jan 1, 20120 citations

Exact solution for generalized pairing

Feng Pan, J. P. Draayer

An infinite dimensional algebra, which is useful for deriving exact solutions of the generalized pairing problem, is introduced. A formalism for diagonalizing the corresponding Hamiltonian is also proposed. The theory is illustrated with some numerical examples.

arXiv:quant-ph/9706057Jun 26, 19970 citations