Chapter

COLLECTIVE EXCITATIONS IN EVEN–EVEN NUCLEI: VIBRATIONAL AND ROTATIONAL MOTION

R. F. Casten

in Nuclear Structure from a Simple Perspective

Second edition

Published in print March 2001 | ISBN: 9780198507246
Published online January 2010 | e-ISBN: 9780191709333 | DOI: https://dx.doi.org/10.1093/acprof:oso/9780198507246.003.0006

Series: Oxford Studies in Nuclear Physics

 COLLECTIVE EXCITATIONS IN EVEN–EVEN NUCLEI: VIBRATIONAL AND ROTATIONAL MOTION

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The shell model is generally considered the fundamental nuclear model and works best for light nuclei. More fundamental to the shell model's central position in nuclear physics is that it provides a well-defined procedure for the calculation of basic nuclear observables. However, the use of the shell model is, in practice, rather severely limited. While shell model calculations for multi-shell configurations are certainly possible, the size of the matrices in which the residual interaction must be diagonalised rapidly becomes enormous. This chapter deals with collectivity and collective excitations in spherical even–even nuclei, focusing on vibrational and rotational motion. Non-diagonal matrix elements of short-range two-body residual interactions are considered, along with quadrupole vibrations and atomic nuclei with stable and permanent deformations, rotations and vibrations of axially symmetric deformed nuclei, bandmixing and rotation-vibration coupling, axially asymmetric nuclei, the interacting boson model, and the geometric collective model of nuclear structure.

Keywords: collectivity; collective excitations; even–even nuclei; quadrupole vibrations; rotational motion; deformed nuclei; bandmixing; nuclear structure; interacting boson model; geometric collective model

Chapter.  46695 words.  Illustrated.

Subjects: Nuclear Physics

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