Advertisement

Intrinsic sphape of nuclei

  • E. Chacón
  • M. Moshinsky
  • S. Rubinstein
Nuclear Physics
Part of the Lecture Notes in Physics book series (LNP, volume 135)

Abstract

A transformation of coordinates, introduced a decade ago by Dzublik et al. and by Zickendraht, allow us to go from the 3A-3 Jacobi coordinates χ i S , i =1,2,3;ς=1,2,3, A-1 of an A body system to the Euler angles ϑ k , k = 1,2,3 associated with the standard 0(3) group, the 3A-9 coordinates α which are a subset of the (A-1)(A-2)/2 associated with an 0(A-1) group, and,three extra parameters ρ k , k =1,2,3. The latter give a measure of the deformation along the three principal axes in the frame of reference fixed in the body.

In the present note we discuss the deformation of the three body system by considering the expectation values of both the invariants of the inertia tensor and of the ρ k 2 . We compare the results in a basis of harmonic oscillator states for the three body system that reaches up to 22 quanta.

Keywords

Euler Angle Body System Secular Equation Inertia Tensor Ground State Wave Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. Ya. Dzublik, V.I. Ovcharenko, A.I. Steshenko and G.F. Filipov; Yad. Fiz. 15, 869 (1972) [Sov. J. Nuc. Phys. 15, 487 (1972) ] W. Zickendraht, J. Math. Phys., 12,1663 (1971).Google Scholar
  2. 2.
    M. Moshinsky, “The harmonic oscillator in modem physics: From atoms to quarks”;(Gordon E. Breach Science Publishers, New York, 1967).Google Scholar
  3. 3.
    H. Eikemeier and H.H. Hackenbroich, Zeit. f. Physik 195, 412 (1966).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • E. Chacón
    • 1
  • M. Moshinsky
    • 1
  • S. Rubinstein
    • 1
  1. 1.Instituto de FísicaUNAMMéxico 20

Personalised recommendations