2012/02/17 by R. Id Betán, Betan, R. Id
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.1202.3986
openalex publication_date 2012/02/17 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
The pairing Hamiltonian constitutes an important approximation in many- body systems, it is exactly soluble and quantum integrable. On the other hand, the continuum single particle level density (CSPLD) contains information about the continuum energy spectrum. The question whether one can use the Hamiltonian with constant pairing strength for correlations in the continuum is still unanswered. In this paper we generalize the Richardson exact solution for the pairing Hamiltonian including correlations in the continuum. The resonant and non-resonant continuum are included through the CSPLD. The resonant correlations are made explicit by using the Cauchy theorem. Low lying states with seniority zero and two are calculated for the even Carbon isotopes. We conclude that energy levels can indeed be calculated with constant pairing in the continuum using the CSPLD. It is found that the nucleus 24C is unbound. The real and complex energy representation of the continuum is developed and their differences are shown. The trajectory of the pair energies in the continuum for the nucleus 28C is shown.