A Number-Conserving Theory for Nuclear Pairing

Abstract

A microscopic theory for nuclear pairing is proposed through the generalized density matrix formalism. The analytical equations are as simple as that of the BCS theory, and could be solved within a similar computer time. The current theory conserves the exact particle number, and is valid at arbitrary pairing strength (including those below the BCS critical strength). These are the two main advantages over the conventional BCS theory. The theory is also of interests to other mesoscopic systems.

References in corpus (5)

• Particle-Number Projection and the Density Functional Theory
• Number-conserving theory of nuclear pairing gaps: a global assessment
• Generalized Density Matrix Revisited: Microscopic Approach to Collective Dynamics in Soft Spherical Nuclei
• Equivalent Representations of Collective Hamiltonian and Implication on Generalized Density Matrix Method
• Validity of the Generalized Density Matrix Method for Microscopic Calculation of Collective/Bosonic Hamiltonian

Cited by in corpus (13)

• Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe
• Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations
• Practical Calculation Scheme for Generalized Seniority
• Solving the nuclear pairing model with neural network quantum states
• Generalized Seniority on Deformed Single-Particle Basis
• Systematic investigation of the high-$K$ isomers and the high-spin rotational bands in the neutron rich Nd and Sm isotopes by a particle-number conserving method
• Variational Principle Directly on the Coherent Pair Condensate. I. the BCS Case
• Accuracy of the new pairing theory and its improvement
• Solving for the Particle-Number-Projected HFB Wavefunction
• Configuration and bandhead spin assignments for the 2-quasiparticle rotational bands in the neutron-rich nuclei ${}^{154,156}$Pm
• Gallagher-Moszkowski splitting in deformed odd-odd nuclei within a microscopic approach
• Band crossings in ${}^{168}$Ta: a particle-number conserving analysis
• Systematic investigation of the high-spin structures in the odd-odd nuclei ${}^{166,168,170,172}$Re by a particle-number conserving method