Number conservation in odd-particle number random phase approximation and extensions

Abstract

The number conservation law in the odd-particle number random-phase approximation (oRPA) and its extension (EoRPA) is studied by applying them to a pairing model and ${}^{16}$O. It is found in the application to ${}^{16}$O that the number conservation law is not fulfilled in oRPA and EoRPA and that it is drastically improved in EoRPA due to the inclusion of ground-state correlation effects.

arXiv comment11 pages, 7 figures

References in corpus (10)

• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Z_3 Dark Matter and Two-Loop Neutrino Mass
• Faddeev treatment of long-range correlations and the one-hole spectral function of O16
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Necessary and Sufficient Conditions for the Validity of Luttinger's Theorem
• Bose-Fermi Pairs in a Mixture and the Luttinger Theorem within a Nozieres-Schmitt-Rink like Approach
• Odd-particle number random phase approximation and extensions: Applications to particle and hole states around ${}^{16}$O
• Luttinger theorem and imbalanced Fermi systems
• Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem
• Application of renormalized RPA to polarized Fermi gases