Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei
International Journal of Science, Technology and Society
Volume 3, Issue 3, May 2015, Pages: 96-100
Received: Apr. 30, 2015; Accepted: May 6, 2015; Published: May 16, 2015
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Authors
N. A. Mansour, Faculty of Science, Physics Department, Zagazig University, Zagazig, Egypt
N. M. Eldebawi, Faculty of Science, Physics Department, Zagazig University, Zagazig, Egypt
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Abstract
The ground state rotational band members for the studied nuclei have been identified and their energies calculated to about 0.3%. These energies provide good test of various models for rotational bands, and impressive agreement is observed with a theoretical calculations by the variable moment of inertia (VMI) model and cubic polynomial (CP) formula. In addition to giving an excellent fit to the excitation energy of the ground-band levels in all nuclei. Also reproduces a critical spin Ic beyond which the square rotational frequency ω2 decreases although the moment of inertia ℑ keeps on increasing, thus resulting in back bending in I -ω2 plot for some of the studied nuclei. This feature is predicted to appear not only in the deformed nuclei but also at quite low spins in nearly spherical nuclei as well. Also the formula contains the low and high spin behavior in agreement with the available experimental data.
Keywords
Rotational Parameter, Moment of Inertia, Back-Bending
To cite this article
N. A. Mansour, N. M. Eldebawi, Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei, International Journal of Science, Technology and Society. Vol. 3, No. 3, 2015, pp. 96-100. doi: 10.11648/j.ijsts.20150303.15
References
[1]
A. Bohr and B.R. Mottelson ; Phys. Scripta 10A (1974) 13.
[2]
R. Bengtsson ; S.E. Larsson ; G. Leander ; P. Möller ; S.G. Nilsson ; S. Äberg and Z. Szymanski, Phys, Lett. 57B (1975) 310.
[3]
K. Neergaard and V.V. Pashkevich ; Phys. Lett. 59B (1975) 218.
[4]
G. Andersson ; S.E. Larsson ; G. Leander ; P. Möller ; S.G. Nilsson ; I. Ragnarsson and S. Äberg ; R. Bengtsson and J. Dudek ; B. Nerlo-Pomorska, K. Pomorski and Z. Szymanski ; Nucl. Phys. A268 (1976) 205.
[5]
N.A. Mansour and A.M. Diab ; Indian J. Phys.77A(3),289 (2003) and references there in.
[6]
William ; M.C. Latchie and W. Darcey and J.E. Kitching ; Nucl. Phys. A159 (1970) 615.
[7]
G. Løvhøiden ; T.F. Thorsteinsen ; E. Andersen and M.F. Kiziltan ; D.G. Burkem ; Nucl. Phys. A494 (1989) 157.
[8]
H.H. Pitz ; U.E.P. Berg ; R.D. Hell ; U.Kneissl and R. Stock ; C. Wesslborg and P. Von Brentana ; Nucl. Phys. A492 (1989) 411.
[9]
L. Henden ; L. Bergholt ; M. Guttormsen ; J. Rekstad ; T.S. Tveter ; Nucl. Phys. A589 (1995) 249.
[10]
J. Rekstad ; A. Atac ; M. Guttormsen ; T. Ramsdy ; J.B. Olsen and F. Ingebretsen ; T.F. Thorsteinsen ; G. Løvhøiden and T. Rødland ; Nucl. Phys. A470 (1987) 397.
[11]
J.P. Lestone ; J.R. Leigh ; J.O. Newton ; D.J. Hinde ; J.X. Wei ; J.X. Chen ; S. Elfström ; M. Zielinska-Pfabe ; Nucl. Phys. A559 (1993) 277.
[12]
C.A. Fields and K.H. Hickes and R.J. Peterson ; Nucl. Phys. A440 (1985) 301.
[13]
J.C. Lisle; D. Clarkc ; R.Champman ; F. Khazaie ; and J.N. Mo ; H. Hübel ; W. Schmitz and K. Thiene ; J.D. Garrett ; G.B. Hagemann ; B. Herskind and K. Schiffer ; Nucl. Phys. A520 (1990) 451, and procedings of the conference on nuclear structure in the nineties Oak Ridge. Tennesse, April 23, (1990).
[14]
P.M. Walker ; G.B. Hagamann; J. Pedersen; G. Sletten ; D. Howe; M.A. Riley ; B.M. Nyako; J.F. Sharpey-Schafer; J.C. Lisle; E. Paul; Daresbury Annual report (1983/84) 43.
[15]
P. M. Walker ; G. Sletten ; N.L. Gjorup ; J. Borggreen ; B. Fabricius ; A. Holm ; J. Pederson ; M.A. Bentley ; D. Howe ; J.W. Reberts ; J.F. Sharpey-Schafer ; Daresbury Annual report (1989/90) 66.
[16]
A. Krämer-Flecken ; T. Morek ; R.M. Lieder ; W. Gast ; G. Hebbinghaus ; H.M. Jäger ; W. Urban ; Annual report, Jülich GmbH Institute Für kernphysik (1988) 36.
[17]
H. Schnare ; A. Krämer-Fleckem ; D. Balabonski ; W. Gast ; G. Hekbinghaus ; R.M. Lieder ; M.A. Bontley ; D. Howe ; A.R. Mokhtar ; J.D. Morrison ; J.F. Sharpey-Schafer ; P.M. Walker ; Annual report, Jülich GmbH Institute Für kernphysik (1988) 43.
[18]
A. Ansari ; M.Oi ; N. Onishi ; T. Horibata ; Nucl. Phys. A654 (1999) 558.
[19]
Takatoshi Horibata; M.Oi ; N. Onishi; A. Ansari ; Nucl.Phys. A646(1999) 277.
[20]
Takatoshi Horibata ; N. Onishi ; Nucl. Phys. A596 (1996) 251.
[21]
T. Kutsarova ; R.M. Lieder ; H. Schnare ; G. Hebbinghaus ; D. Balobanski ; W. Gast ; A. Krämer-Flecken ; M.A. Bentley ; P. Fallon ; D. Howe ; A.R. Mokhtar ; J.F. Sharpey-Schafer ; P. Walker ; P. Chowdhury ; B. Fabricius ; G. Sletten ; S. Frauendorf ; Nucl. Phys. A 587 (1995) 111.
[22]
T. Kibédi ; G.D.Dracoulis; A. P. Byrne ; P.M. Davidson ; S. Kuyucak ; Nucl. Phys. A567 (1994) 183.
[23]
N.A. Mansour and A.M. Diab ; Indian J. Phys.77A(4), 377 (2003).
[24]
Goldhaber A.S and Scharff-Goldhaber G. ; Phys.Rev.C17,1171 (1978).
[25]
S.G. Nilsson and O.Prior, Kgl. Danske Videnskab.Selskab; Mat.-Fys.Medd. 32, No.16 (1991).
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