International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2528

Full Length Research Paper

Theoretical spin assignment and study of the A~100 – 140 superdeformed mass region by using ab formula

A. S. Shalaby
  • A. S. Shalaby
  • Applied Physics Department, Faculty of Applied Science, Taibah University, Saudi Arabia
  • Google Scholar


  •  Received: 31 January 2013
  •  Accepted: 02 April 2014
  •  Published: 16 April 2014

Abstract

Using an empirical formula of rotational spectra which consists of two parameters a and b (known as ab formula) and derived from the Bohr-Hamiltonian, we extract the spins of fifteen superdeformed bands observed in the A~ 100-140 mass region. The two parameters "a" and "b" were determined by using a search program to fit the proposed transition energies with their observed values. The calculated transition energies depend sensitively on the prescribed spins. The agreement between the calculated and observed transition energies is incredibly well when a correct spin assignment is made. The quality of the fit is generally good in the proposed nuclei, namely: 104Pd(b1), 132Ce(b1), 134Nd(b1), 136Nd(b2), 142Sm(b1), 148Eu(b1, b2), 131Ce(b1, b2), 133Ce(b1, b2), 133Pr(b1, b3), 137Sm(b1), 143Eu(b1). Also, a good agreement is achieved between the extracted spin values in this paper with other theoretical models and also with the available experimental data.

Key words: Superdeformed nuclei, Even-A and Odd-A Nuclei of the superdeformed Mass Region 100-140, ab formula.