Document Type : Research Paper

Authors

University of Anbar. College of Education for pure science

10.37652/juaps.2009.37703

Abstract

The aim of the present work is to study some nuclear features of Erbium ( 98
166
68 Er ) such as
energy levels E(J), energy transition Eγ, band crossing, and back bending phenomena in the mass
region(A=166,and total number of bosons N=15)of the dynamical symmetry SU(3)-O(6) using
interacting boson model version-1(IBM-1) and a variable moment of inertia model(VMI)
In this study, we determined the most appropriate Hamiltonian that is needed for the present
calculations of deformed understudy nucleus; these calculations have been estimated by best-fitting to
the measured energies level.
The IBM-1 results have been compared with the previous experimental and theoretical (VMImodel)
data and it was observed that they are agreed in the most of the states. The predictions from the
VMI model are more accurate than those of the IBM-1

Keywords

Main Subjects

1-Mariscotti M. Scharff-Goldhaber, and Brain Buck; phys. Rev. 178, 1864 (1969).
2- Mariscotti M. phys. Rev. Lett.24 , 242 (1970).
3-Arima A. and Iachello F.," The interaction boson model,"Ed. IachelloF., Pub. Combridge university ,press Combridge, England , (1-133) (1987).
4-Walter P.;"An Introduction to the IBM of the atomic nucleus " part 1, Walter,(4-8) (1998).
5-Goldhaber S. and Scharff G.,Pysical Review C,17 No.3 (1978).
6-Lin L.,and Chern D.C.; Chinese, J. phys.,17, No.2,76 (1979).
7-Raj K. Gupta, Batra J.S., and Malik S.S., Nuclear Data for science and Technology(1988MITO),729-732, Copyright © 1988 JAERI.
8-Otsuka T., and Honma M., Phys. Lett. B 268, 305 (1991).
9-Myers M.D.and Swiatecki W.J.,Acta physica polonica B.29 No.1-2 (1998).
10-Chiang H.S., Jiang C.W., Sun H.Z., and Han Q.Z., Chinse J. of Phys.17No.1 25 (1999).
11-Garawi M.S.Isotope and Rad. ,Res., 33No.1,9-18 (2001).
12- Alenicheva T.V. Kabina P., Mitropolsky I.A., and Tyukavina T.M; IAEA Nuclear data section, Wagramer strasse5,A-1400 Viena , INDC (CCP), 439 (2004).
13-Mohamed E.K., Sub. To national academy of Sci. Reserch, J. of basic and applied Sci. Tripoli, Libya (2005).
 14-Nurettin T.and Ismail M., "Microscopic interacting boson model calculation, "J. of phys. 68 No.5, 769 (2007).
15- Arima A. and Iachello F., Ann. Rev. Nucl. Part. Sci.31,75(1981).
16-Deleplanque M.A., Frauenderf S., Pashkevich V.V., Chu S.Y., and Unzhakova A., "Gross shell structure of moments of inertia, "Lawrence Berkeley National Laboratory,(LBNI), University of California, 52316 (2002).
17-Murray R., Spiegel and Larry J. Stephens, "shams out lines statistics," Ed. Mc Graw Hill (1999).
18- Sakai M.," Atomic data and nuclear data tables, ".31, No.3,399-432 (1984).
19-Ignoto Chkin A.E., and Shurshikov E.N., Nuclear data sheets 52.No2,365(1987).