Abstract
When the nuclear field is approximated by an Harmonic Oscillator Potential it is possible to obtain an exact solution when the field is cranked with frequency ω. We have shown that when the energy is minimized, subject to the condition of constant volume, the square of the velocity distribution is not isotropic as previously assumed. The system shows greater stability resulting in a higher cut-off frequency and an expanded energy spectrum.
Similar content being viewed by others
References
Valatin, J.G.: Proc. Roy. Soc. London A238, 132 (1956)
Bohr, A., Mottelson, B.R.: Nuclear Structure, p. 283, New York and Amsterdam: W.A. Benjamin 1969
Ripka, G., Blaizot, J.P., Kassis, N.: Extended Seminar on Nuclear Physics 1973, Int. Cent. for Theor. Phys., Trieste, paper SMR 14/19
Mottelson, B.R.: The Many Body Problem, Université de Grenoble, Les Houches 1958, Methuen, London
DeShalit, A., Feshbach, H.: Theoretical Nuclear Physics, Vol. 1, New York: John Wiley and Sons 1974
Bohr, N.: Studier over Metallernes Elektrontheori, dissertation, Thaning og Appel, Copenhagen; transl. Niels Bohr, Collected Works, vol. 1, p. 291, ed. J. Rud Nielsen, Amsterdam: North Holland 1972
Van Leeuwen, H.J.: J. phys. radium2, 361 (1921)
Van Vleck, J.H.: The Theory of Electric and Magnetic Susceptibilities, Oxford: Oxford University Press 1932
Kittel, C.: Introduction to Solid State Physics, Ch. 15, London: J. Wiley & Sons 1971
Feynman, R.P.: Phys. Rev.56, 340 (1939)
Stamp, A.P.: Nucl. Phys. A266, 119 (1976)
Passler, K.H., Mosel, U.: Nucl. Phys. A257, 242 (1976)
Author information
Authors and Affiliations
Additional information
I would like to express my appreciation to Prof. H.J. Mang for the invitation to visit the Technische Universität München.
Rights and permissions
About this article
Cite this article
Stamp, A.P. The self-consistent condition for the cranked Harmonic Oscillator Potential. Z Physik A 284, 305–312 (1978). https://doi.org/10.1007/BF01406803
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01406803