Abstract
A host of alternative energy formulae for the ground bands of even Z even N nuclei are available in the literature. The usual approach is to compare the relative numerical accuracy of the predictions of the level energies by these formulae, for varying deformations of the nuclear core and for high spins. The soft rotor formula and variable moment of inertia model, the ab and pq formulae, the rotation vibration interaction and power index formulae are illustrated. Here, a new perspective is presented, with emphasis on the limitation of the region of their physical validity and on deriving useful meaning of their parameters.
Similar content being viewed by others
References
A Bohr and B R Mottelson, Nuclear structure (W A Benjamin Inc., New York, 1975) Vol. 2
P von Brentano, N V Zamfir, R F Casten, W G Rellergert and E A McCutchan, Phys. Rev. C 69, 045414 (2004)
R K Gupta, Phys. Lett. B 36, 173 (1971)
M A J Mariscotti, G S Goldhaber and B Buck, Phys. Rev. 178, 1864 (1969)
J B Gupta, A K Kavathekar and Y P Sabharwal, Phys. Rev. C 56, 3417 (1997)
P Holmberg and P O Lipas, Nucl. Phys. A 117, 552 (1968)
Guo-Mo Zeng, W Liu and E G Zhao, Phys. Rev. C 52, 1864 (1995)
T K Das, R M Dreizler and A Klein, Phys. Rev. C 2, 632 (1970)
H Ejiri, et al, J. Phys. Soc. Jpn 24, 1189 (1968)
J B Gupta and A K Kavathekar, Phys. Scr. 56, 574 (1997)
J B Gupta, A K Kavathekar and R Sharma, Phys. Scr. 51, 316 (1995)
F Iachello, Phys. Rev. Lett. 87, 052502 (2002)
D Tonev, A Dewald, T Klug, P Petkov, J Jolie, A Fitzler, O Möller, S Heinze, P von Brentano and R F Casten, Phys. Rev. C 69, 034334 (2004)
J B Gupta and J H Hamilton, Phys. Rev. C 83, 064312 (2011)
C A Mallmann, Phys. Rev. Lett. 2, 501 (1959)
R F Casten, N V Zamfir and D S Brenner, Phys. Rev. Lett. 71, 02227 (1993)
F Iachello and A Arima, The interacting boson model (Cambridge University Press, Cambridge, 1987)
K Kumar and M Baranger, Nucl. Phys. A 110, 528 (1968)
J Luis Egido, Phys. Scr. 91, 073003 (2016)
J B Gupta, S Sharma and Vikas Katoch, Pramana – J. Phys. 81, 75 (2013)
J B Gupta and J H Hamilton, Eur. Phys. J. A 51, 151 (2015)
Acknowledgements
JBG appreciates the post-retirement association with Ramjas College.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gupta, J.B. A new perspective of ground band energy formulae. Pramana - J Phys 89, 34 (2017). https://doi.org/10.1007/s12043-017-1433-9
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-017-1433-9