Exact solution of the spin-isospin proton-neutron pairing Hamiltonian
| Autor: | S. Lerma H., B. Errea, J. Dukelsky, W. Satuła |
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| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
[PACS] Integrable systems
Physics Integrable system Nuclear Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems [PACS] Models based on group theory Condensed Matter - Superconductivity FOS: Physical sciences General Physics and Astronomy Nuclear Theory (nucl-th) Superconductivity (cond-mat.supr-con) symbols.namesake Exact solutions in general relativity Pairing Quantum mechanics Isospin symbols Exactly Solvable and Integrable Systems (nlin.SI) [PACS] Pairing symmetries (other than s-wave) Hamiltonian (quantum mechanics) Nucleon Complex plane Eigenvalues and eigenvectors |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| Popis: | 4 pages, 2 figures.-- PACS nrs.: 21.60.Fw; 02.30.Ik; 74.20.Rp. The exact solution of the proton-neutron isoscalar-isovector (T=0,1) pairing Hamiltonian with nondegenerate single-particle orbits and equal pairing strengths is presented for the first time. The Hamiltonian is a particular case of a family of integrable SO(8) Richardson-Gaudin models. The exact solution of the T=0,1 pairing Hamiltonian is reduced to a problem of 4 sets of coupled nonlinear equations that determine the spectral parameters of the complete set of eigenstates. The microscopic structure of individual eigenstates is analyzed in terms of evolution of the spectral parameters in the complex plane for a system of A=80 nucleons. The spectroscopic trends of the exact solutions are discussed in terms of generalized rotations in isospace. This work was supported in part by the Spanish MEC under Grant No. FIS2006-12783-C03-01 and by the Polish KBN under Contract No. 1 P03B 059 27. S. L. H. acknowledges financial support from Spanish SEUI-MEC. B. E. was supported by the Spanish CE-CAM. |
| Databáze: | OpenAIRE |
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