Interaction of the single-particle and collective degrees of freedom in non-magic nuclei: the role of phonon tadpole terms

Abstract

A method of a consistent consideration of the phonon contributions to mass and gap operators in non-magic nuclei is developed in the so-called g^2 approximation, where g is the low-lying phonon creation amplitude. It includes simultaneous accounting for both the usual non-local terms and the phonon tadpole ones. The relations which allow the tadpoles to be calculated without any new parameters are derived. As an application of the results, the role of the phonon tadpoles in the single-particle strength distribution and in the single-particle energies and gap values has been considered. Relation to the problem of the surface nature of pairing is discussed.

arXiv comment22 pages, 7 figures

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• Semi-microscopic model of pairing in nuclei
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• Spatial correlation properties of the anomalous density matrix in a slab of nuclear matter with realistic NN-forces
• Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei
• On limits of ab initio calculations of pairing gap in nuclei
• Phonon-particle coupling effects in odd-even mass differences of semi-magic nuclei
• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei
• Particle-phonon coupling effects within theory of finite Fermi systems
• Self-consistent account for phonon induced corrections to quadrupole moments of odd nuclei. Pole and non-pole diagrams