Quick search Find article
Quick search
Find article

Integrability and exact spectrum of a pairing model for nucleons

Jon Links, Huan-Qiang Zhou, Mark D Gould and Ross H McKenzie

Show affiliations


A pairing model for nucleons, introduced by Richardson in 1966, which describes proton–neutron pairing as well as proton–proton and neutron–neutron pairing, is re-examined in the context of the quantum inverse scattering method. Specifically, this shows that the model is integrable by enabling the explicit construction of the conserved operators. We determine the eigenvalues of these operators in terms of the Bethe ansatz, which in turn leads to an expression for the energy eigenvalues of the Hamiltonian.


PACS

02.30.Ik Integrable systems

03.65.Nk Scattering theory

02.10.Ud Linear algebra

MSC

81U40 Inverse scattering problems

15A18 Eigenvalues, singular values, and eigenvectors

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 30 (2 August 2002)

Received 14 May 2002

Published 19 July 2002



  1. Integrability and exact spectrum of a pairing model for nucleons

    Jon Links et al 2002 J. Phys. A: Math. Gen. 35 6459

  2. Convolution of multifractals and the local magnetization in a random-field Ising chain

    Thomas Nowotny and Ulrich Behn 2001 J. Phys. A: Math. Gen. 34 8057

  3. A dye-sensitized nano-porous solid-state photovoltaic cell

    K Tennakone et al 1995 Semicond. Sci. Technol. 10 1689

  4. An investigation of annealing on the dielectric performance of TiO2 thin films

    Wenli Yang et al 2006 Semicond. Sci. Technol. 21 1573

  5. Geometry and Hamiltonian mechanics on discrete spaces

    V Talasila et al 2004 J. Phys. A: Math. Gen. 37 9705

  6. Large deformation three-dimensional image registration in image-guided radiation therapy

    Mark Foskey et al 2005 Phys. Med. Biol. 50 5869

  7. Invariant theory, generalized Casimir operators, and tensor product decompositions of U(N)

    R T Aulwes et al 2001 J. Phys. A: Math. Gen. 34 8237

  8. The fermionic limit of the δ-function Bose gas: a pseudopotential approach

    Diptiman Sen 2003 J. Phys. A: Math. Gen. 36 7517

  9. High confinement modes with radial structure

    D del-Castillo-Negrete et al 2004 Plasma Phys. Control. Fusion 46 A105

  10. Corrections and comments on the multipole moments of axisymmetric electrovacuum spacetimes

    Thomas P Sotiriou and Theocharis A Apostolatos 2004 Class. Quantum Grav. 21 5727

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.