Abstract.
The nature of \(K^{\pi}=0_{2}^{+}\) band is analyzed in the light of the variation of the \( E(0_{2}^{+})\) and \(B(E2)\) values, with N and Z, for the \(A=140-180\) region. The absolute \(B(E2)\) strengths for the excitation of \(2_{\gamma}\) and \( 2_{K=02}\) states are studied. Also the roles of \(B(E2,0_{2}^{+}-2_{g})\) and \( B(E2,0_{2}^{+}-2_{\gamma})\) are discussed. Comparison with the dynamic pairing plus quadrupole model, for all the nuclei studied here, are made on a global basis. The lack of overlap in the wave function amplitudes \(A_{200}(\beta,\gamma)\) of \(0_{2}^{+}\) and \(A_{100}(\beta,\gamma)\) of the ground state also explains the reduced \(B(E2,\beta -g)\) strength. The \( B(E2,2_{\beta}\rightarrow 0_{\beta})\) is a good measure of the rotational collectivity (deformation) of the band. Shape coexistence at N = 88, 90 nuclei is reviewed. The possibility of \( K^{\pi}=0_{2}^{+}\) as a \( \gamma\gamma\)-vibration, when allowed by energy, in expected cases is examined. The interacting boson model predictions are also considered as required.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. Bohr, B.R. Mottelson, The Nuclear Structure, Vol. II (W.A. Benjamin, 1975)
F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987)
J.H. Hamilton, Izv. Akad. Nauk, USSR Ser., Fiz. 36, 17 (1972)
R.F. Casten, P. von Brentano, N.V. Zamfir, Phys. Rev. C 49, 1840 (1994)
R.F. Casten, P. von Brentano, Phys. Rev. C 51, 3528 (1995)
C. Gunther, S. Boehmsdorff, K. Freitag, J. Manns, U. Muller, Phys. Rev. C 54, 679 (1996)
P.E. Garrett, J. Phys. G 27, R1 (2001)
W.-T. Chou, Gh. Cata-Danil, N.V. Zamfir, R.F. Casten, N. Pietralla, Phys. Rev. C 64, 057301 (2001)
N.V. Zamfir, R.F. Casten, M.A. Caprio, C.W. Beausang, R. Krucken, J.R. Novak, J.R. Cooper, Gh. Cata-Danil, C.J. Barton, Phys. Rev. C 60, 05312 (1999)
H. G. Borner, P. Mutti, M. Jentshel, N.V. Zamfir, R.F. Casten, E.A. McCutchan, R. Krucken, Phys. Rev. C 73, 034314 (2006)
S. Hinds et al., Phys. Lett. B 14, 48 (1965)
K. Kumar, M. Baranger, Nucl. Phys. A 110, 529 (1968)
J.B. Gupta, Phys. Rev. C 28, 1929 (1983)
F. Iachello, Phys. Rev. Lett. 87, 052502 (2001)
J.B. Gupta, Eur. Phys. J. A 48, 177 (2012)
R.M. Clark, M. Cromaz, M.A. Deleplanque, R.M. Diamond, P. Fallon, A. Görgen, I.Y. Lee, A.O. Macchiavelli, F.S. Stephens, D. Ward, Phys. Rev. C 67, 041302 (2003)
N. Pietralla, O.M. Gorbachenko, Phys. Rev. C 70, 011304 (2004)
M.A.J. Mariscotti, G. Scharff-Goldhaber, B. Buck, Phys. Rev. 178, 1864 (1969)
P. von Brentano, N.V. Zamfir, R.F. Casten, W.G. Rellergert, E.A. McCutchan, Phys. Rev. C 69, 044314 (2004)
K. Kumar, Phys. Rev. C 51, 3524 (1995)
K. Kumar Nuclear Models and the Search for Unity in Nuclear Physics (Universitetsforlaget, Bergen, 1984)
D.A. Meyer et al., Phys. Rev. C 74, 044309 (2006)
K. Kumar, J.B. Gupta, Nucl. Phys. A 304, 295 (1978)
J.B. Gupta, Phys. Rev. C 39, 1604 (1989)
J.B. Gupta, J.H. Hamilton, A.V. Ramayya, Nucl. Phys. A 542, 429 (1992)
S. Raman, C.W. Nestor, P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001)
R.F. Casten, D.D. Warner, Rev. Mod. Phys. 60, 389 (1988)
J.B. Gupta, K. Kumar, J.H. Hamilton, Phys. Rev. C 16, 427 (1977)
M.A. Caprio, Phys. Rev. C 72, 054323 (2005)
J.B. Gupta, S. Sharma, Ind. J. Pure Appl. Phys. 26, 601 (1988)
K. Kumar, Nucl. Phys. A 234, 39 (1974)
J.B. Gupta, K. Kumar, J.H. Hamilton, Int. J. Mod. Phys. E 19, 1491 (2010)
K. Kumar, J.B. Gupta, J. Phys. G 10, 525 (1984)
R.M. Clark, R.F. Casten, L. Bettermann, R. Winkler, Phys. Rev. C 80, 011303 (2009)
K. Kumar, J.B. Gupta, J.H. Hamilton, Austr. J. Phys. 32, 307 (1979)
J.B. Gupta, Third International Conference on Fission and Properties of Neutron-Rich Nuclei, edited by J.H. Hamilton, A.V. Ramayya, H.K. Carter (World Scientific, Singapore, 2003) p. 296
R. Krucken et al., Phys. Lett. B 454, 15 (1999)
K. Dusling et al., Phys. Rev. C 73, 014317 (2006)
H.G. Borner, M. Jentschel, N.V. Zamfir, R.F. Casten, M. Krticka, W. Andrejtscheff, Phys. Rev. C 59, 2432 (1999)
N.V. Zamfir, R.F. Casten, Benyuan Liu, D.S. Brenner, C.J. Barton, R. Krücken, C.W. Beausang, J.R. Novak, J.R. Cooper, G. Cata-Danil, R.L. Gill, D.D. Warner, Phys. Rev. C 60, 054319 (1999)
J.B. Gupta, Nucl. Phys. Symp. (India) 52, 222 (2007)
H. Lehmann, J. Jolie, F. Corminboeuf, H.G. Borner, C. Doll, M. Jentshel, R.F. Casten, N.V. Zamfir, Phys. Rev. C 57, 569 (1998)
M.A. Caprio, R.F. Casten, N.V. Zamfir, G.C. Ball, K.P. Jackson, P.-A. Amaudruz, J.-C. Thomas, Phys. Rev. C 66, 014307 (2002)
R.M. Ronningen, R.S. Grantham, J.H. Hamilton, R.B. Piercey, A.V. Ramayya, B. van Nooijen, H. Kawakami, W. Lourens, R.S. Lee, W.K. Dagenhart, L.L. Riedinger, Phys. Rev. C 26, 97 (1982)
P.E. Garrett, M. Kadi, C.A. McGrath, V. Sorokin, Min Li, Minfang Yeh, S.W. Yates, Phys. Lett. B 400, 250 (1997)
J.B. Gupta, J.H. Hamilton, A.V. Ramayya, Phys. Rev. C 63, 044308 (1999)
D.R. Bes, Nucl. Phys. 49, 544 (1963)
D.R. Bes, P. Federmanm, E. Maqueda, A. Zuker, Nucl. Phys. 65, 1 (1965)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by A. Ramos
Rights and permissions
About this article
Cite this article
Gupta, J.B., Hamilton, J.H. Nature of \(K^{\pi}=0_{2}^{+}\) bands in A=140-180 region, a global analysis. Eur. Phys. J. A 51, 151 (2015). https://doi.org/10.1140/epja/i2015-15151-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2015-15151-7