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Author Glassgold, A. E.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS AND MATHEMATICS ♦ BRUECKNER METHOD ♦ EIGENVECTORS ♦ ENERGY LEVELS ♦ EXCITATION ♦ FLUID FLOW ♦ FREQUENCY ♦ MANY BODY PROBLEM ♦ MOMENTUM ♦ MOTION ♦ NUCLEAR MATTER ♦ NUCLEAR MODELS ♦ NUCLEI ♦ NUCLEONS ♦ OSCILLATIONS ♦ QUANTUM MECHANICS ♦ SLOWDOWN ♦ SPIN ♦ VECTORS
Abstract A study of the collective motions of nuclear matter was made. First, a purely classical macroscopic description of hydrodynamic waves in nuclear matter is given, some experimental consequences of their excitation are suggested. Next a quanturn mechanical study of the collective eigenstates of nuclear matter is taken up. The starting point of this discussion is the theory of the nuclear ground state as given by Brueckner and his collaborators. The excited states are described by means of the method developed by Sawada to apply to an electron gas. This method is generalized so as to include the internal degrees of freedom associated with spin and i-spin and to handle the momentum dependence of the level-shift operator K used by Brueckner. The cornection between the quanturn- mechanical eigenstates and the classical hydrodynamic motion is established. As a consequence of the internal degrees of freedom, there exist not only the usual compressive waves, but spin, i-spin, and coupled spin-i-spin waves. The i-spin waves can be associated with the Goldhaber-Teller oscillations. The corrections to the Sawada theory have been investigated. This gives rise to the damping of the stable Sawada collective eigenmodes, analogous to the viscous damping of a plasma oscillation. The spin and i-spin waves are only slightly damped, whereas the compressional mode is unstable in an exponentially growing sense. (auth)
ISSN 00034916
Educational Use Research
Learning Resource Type Article
Publisher Date 1959-01-01
Journal Annals of Physics
Volume Number 6
Organization Univ. of California, Berkeley


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