Abstract.
The correlation of the rotational structure of the \( K^{\pi}=2^{+}\)\( \gamma\)-bands, with the \( K^{\pi}=0^{+}\) ground bands, of the even-Z even-N atomic nuclei of the mid mass region \( (A=140 - 200)\) is reviewed from the global view point. The variation of the energy level pattern with N and Z in the major shell (\( Z=50 - 82\), \( N=82 - 126\)) is illustrated quadrant-wise, through the moment of inertia plots. The correlations are viewed in terms of the dynamic symmetries of the Interacting Boson Model-1. The average value of the power index of the single term power law of level energies in the \( \gamma\)-band is compared with the ground band. Its variation with neutron number N is displayed for Dy, Er and Os isotopic chains. The effect of the beta stability line across the quadrants is pointed out. Also the variation of the \( \gamma\)-band head energy \( E(2_{\gamma})\) with N and Z and its correlation with ground and \( \beta\)-band is analyzed.
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References
A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. 2 (W. A. Benjamin, New York, 1975)
R.F. Casten, Nuclear Structure from a Simple Perspective (Oxford University Press, New York, 1990)
F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, UK, 1987)
A. Faessler, W. Greiner, R.K. Sheline, Nucl. Phys. 70, 33 (1965)
K. Kumar, M. Baranger, Nucl. Phys. A 110, 529 (1968)
J.B. Gupta, A.K. Kavathekar, Pramana J. Phys. 61, 167 (2003)
B. Bihari, M. Singh, Y. Singh, A.K. Varshney, K.K. Gupta, D.K. Gupta, Phys. Scr. 77, 055201 (2008)
J.B. Gupta, S. Sharma, Vikas Katoch, Pramana J. Phys. 81, 75 (2013)
J.B. Gupta, J.H. Hamilton, A.V. Ramayya, Int. J. Mod. Phys. A 5, 1155 (1990)
Monica Karday, H.M. Mittal, Rohit Mehra, Mod. Phys. Lett. A 33, 1850118 (2018)
Brookhaven National Laboratory, Chart of nuclides of National Nuclear data Center, http://www.nndc.bnl.gov/ENSDF
J.B. Gupta, Eur. Phys. J. A 48, 177 (2012)
R.F. Casten, D.D. Warner, D.S. Brenner, R.L. Gill, Phys. Rev. Lett. 47, 1433 (1981)
F. Iachello, Phys. Rev. Lett. 87, 052502 (2001)
P. von Brentano, A. Gelberg, H. Harter, P. Sala, J. Phys. G.: Nucl. Phys. 11, L85 (1985)
A. Arima, T. Otsuka, F. Iachello, F. Talmi, Phys. Lett. B 66, 205 (1977)
J.B. Gupta, A.K. Kavathekar, R. Sharma, Phys. Scr. 51, 316 (1995)
J.B. Gupta, Pramana J. Phys. 89, 0034 (2017)
J.B. Gupta, J.H. Hamilton, Nucl. Phys. A 983, 20 (2019)
J.B. Gupta, Int. J. Mod. Phys. E 27, 1850044 (2018)
K. Kumar, M. Baranger, Nucl. Phys. A 122, 273 (1968)
L. Grodzins, Phys. Lett. 2, 88 (1962)
J.B. Gupta, Vikas Katoch, Int J. Mod. Phys. E 27, 1850033 (2018)
P. von Brentano, N.V. Zamfir, R.F. Casten, W.G. Rellergert, E.A. McCutchan, Phys. Rev. C 69, 044314 (2004)
J.A. Cizweski, R.F. Casten, G.J. Smith, M.L. Stelts, W.R. Kane, H.G. Borner, W.F. Davidson, Phys. Lett. 40, 167 (1978)
F. Iachello, Phys. Rev. Lett. 85, 3580 (2000)
R.F. Casten, P. Von Brentano, K. Heyde, P. Van Isacker, J. Jolie, Nucl. Phys. A 439, 289 (1985)
R.F. Casten, N.V. Zamfir, Phys. Rev. Lett. 85, 3584 (2000)
R.M. Clark et al., Phys. Rev. C 69, 064321 (2004)
A. Frank, C.E. Alanso, J. Arias, Phys. Rev. C 65, 014301 (2002)
R. Bijker, R.F. Casten, N.V. Zamfir, E.A. McCutchan, Phys. Rev. C 68, 064304 (2003)
A. Arima, F. Iachello, Ann. Phys. 111, 201 (1978)
J.B. Gupta, Phys. Rev. C 33, 1505 (1986)
J.B. Gupta, Phys. Rev. C 39, 272 (1989)
P. Sala, P. von Brentano, H. Harter, B. Barret, R.F. Casten, Nucl. Phys. A 456, 269 (1986)
K. Kumar, Phys. Rev. C 1, 369 (1970)
A. Leviatan, J.N. Ginocchio, Phys. Rev. C 61, 024305 (2000)
A. Leviatan, Prog. Part. Nucl. Phys. 66, 93 (2011)
J.B. Gupta, J.H. Hamilton, Eur. Phys. J. A 51, 151 (2015)
J.B. Gupta, J.H. Hamilton, Phys. Rev. C 96, 034321 (2017)
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Gupta, J.B. Global view of the rotational structure of the \(\mathrm{ K^{\pi} = 2^{+} \gamma}\)-bands. Eur. Phys. J. A 55, 122 (2019). https://doi.org/10.1140/epja/i2019-12794-2
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DOI: https://doi.org/10.1140/epja/i2019-12794-2