Effect of single-particle splitting in the exact wave function of the isovectorial pairing Hamiltonian
- Departamento de Fisica, Facultad de Fisica e Inteligencia Artificial, Universidad Veracruzana, Lomas del Estadio s/n, 91000, Xalapa, Ver. (Mexico)
The structure of the exact wave function of the isovectorial pairing Hamiltonian with nondegenerate single-particle levels is discussed. The way that the single-particle splittings break the quartet condensate solution found for N=Z nuclei in a single degenerate level is established. After a brief review of the exact solution, the structure of the wave function is analyzed and some particular cases are considered where a clear interpretation of the wave function emerges. An expression for the exact wave function in terms of the isospin triplet of pair creators is given. The ground-state wave function is analyzed as a function of pairing strength, for a system of four protons and four neutrons. For small and large values of the pairing strength a dominance of two-pair (quartets) scalar couplings is found, whereas for intermediate values enhancements of the nonscalar couplings are obtained. A correlation of these enhancements with the creation of Cooper-like pairs is observed.
- OSTI ID:
- 21389174
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 82, Issue 1; Other Information: DOI: 10.1103/PhysRevC.82.014302; (c) 2010 The American Physical Society; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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