Mathematics – Group Theory
Scientific paper
Nov 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1304..369k&link_type=abstract
EXOTIC NUCLEI AND NUCLEAR/PARTICLE ASTROPHYSICS (III): From Nuclei to Stars. AIP Conference Proceedings, Volume 1304, pp. 369-3
Mathematics
Group Theory
Heavy Ion-Nucleus Reactions, Electron Pair Production, Harmonic Oscillators, Nuclear Liquid Drop Model, Fusion And Fusion-Fission Reactions, Internal Pair Production, Oscillators, Pulse Generators, And Function Generators, Models Based On Group Theory
Scientific paper
A heavy-ion reaction can populate nuclear states of very high angular momentum with values of the order of I = 60 achievable. The reaction produces such configurations with a considerable internal excitation, but the emission of a few neutrons reduces the excitation energy effectively while not decreasing the spin by much. At sufficiently high spin the pairing is destroyed completely and the rigid-body moment of inertia becomes a good approximation. Even in this regime, however, the single-particle structure remains important and shell effects can be studied in terms of a rotating phenomenological shell model. On the theoretical side the cranked Nilsson strutinsky model has proved to be a successful tool to describe rapidly rotating nucleus. Indeed, this model gives a microscopic description of the influence of rotation on single-particle motion. This paper will concentrate on introduction to the cranked Nilsson strutinsky model in details. First, we explain the cranking model and the rotating liquid-drop model, then introduce the shell correction method. Also, we describe terminating bands, which show a continuous transition from high collectivity to a pure particle-hole state.
Kardan A.
Miri-Hakimabad H.
Rafat-Motevalli L.
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