Abstract
In the framework of the cranking model with the potential of an anisotropic harmonic oscillator, we rigorously calculate how the moment of inertia of a finite Fermi system depends on the chemical potential at finite temperatures in the adiabatic limit analytically. We show that this dependence involves smooth and oscillating components. We find analytic expressions for these components at arbitrary temperatures and axial deformation frequencies. We show that oscillations of the moment of inertia increase as the spherical limit is approached and decrease exponentially as the temperature increases.
Similar content being viewed by others
References
D. R. Inglis, Phys. Rev., 96, 1059–1065 (1954); 97, 701–706 (1955); 103, 1786–1795 (1956).
A. Bohr and B. R. Mottelson, Mat. Fys. Medd. Dan. Vid. Selsk., 30, No. 1 (1955).
A. Bohr and B. Mottelson, Nuclear Structure, Vol. 2, Benjamin, New York (1975).
S. Fraundorf and V. V. Pashkevich, Sov. J. Nucl. Phys., 20, 588 (1974).
I. N. Mikhailov, K. Neergard, V. V. Pashkevich, and S. Frauendorf, Sov. J. Part. Nucl. Phys., 8, 1338–1411 (1977).
M. Brack and R. K. Bhaduri, Semiclassical Physics (Frontiers in Physics, Vol. 96), Westview, Boulder, Co. (2003).
K. Bencheikh, P. Quentin, and J. Bartel, Nucl. Phys. A, 571, 518–540 (1994).
E. Chabanat, J. Meyer, K. Bencheikh, P. Quentin, and J. Bartel, Phys. Lett. B, 325, 13–19 (1994).
V. M. Strutinsky, Nucl. Phys. A, 95, 420–442 (1967); 122, 1–33 (1968).
M. Brack, L. Damgaard, A. S. Jensen, H. C. Pauli, V. M. Strutinsky, and C. Y. Wong, Rev. Modern Phys., 44, 320–406 (1972).
V. G. Zelevinskii, Sov. J. Nucl. Phys., 22, 565 (1975).
L. Jacak, W. Nawrocka, R. G. Nazmitdinov, and A. Wojs, J. Phys. G, 21, 1205–1216 (1995).
A. G. Magner, A. S. Sitdikov, A. A. Khamzin, and J. Bartel, Phys. Rev. C, 81, 064302 (2010).
M. J. Gutzwiller, J. Math. Phys., 12, 343–358 (1967).
V. M. Strutinsky and A. G. Magner, Sov. J. Part. Nucl. Phys., 7, 138 (1976).
A. G. Magner, A. S. Sitdikov, A. A. Khamzin, J. Bartel, and A. M. Gzhebinsky, Phys. Atom. Nucl., 73, 1398–1404 (2010).
A. G. Magner, A. M. Gzhebinsky, A. S. Sitdikov, A. A. Khamzin, and J. Bartel, Internat. J. Mod. Phys. E, 19, 735–746 (2010).
A. R. Minnullin and D. A. Tayurskii, JETP Lett., 72, 616–620 (2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 176, No. 3, pp. 458–476, September 2013.
Rights and permissions
About this article
Cite this article
Khamzin, A.A., Nikitin, A.S., Sitdikov, A.S. et al. Oscillations of the inertia moment of a finite Fermi system in the cranking model framework. Theor Math Phys 176, 1220–1235 (2013). https://doi.org/10.1007/s11232-013-0102-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-013-0102-5