Abstract
Liquid3He droplets and their shell structure are investigated in the framework of mean-field calculations using a recently developed effective energy functional which employs realistic finite range interactions throughout. The samples range fromN=20 up toN=1360. The shell closures found agree with the harmonic oscillator scheme up toN=168. Above that, magic droplets appear atN=198, 274, 300, 368, 398, 482, 516... The first and second differences of the free energy are computed as signals for the shell structure in future experiments. Shell closures are found to be still visible in these signals at comparatively high temperatures. The finite range character of the effective interaction generates oscillations in the density profile which are suppressed in comparable calculations with zero range interactions.
Similar content being viewed by others
References
Pandharipande, V.R., Pieper, S.C., Wiringa, R.B.: Phys. Rev. B34, 4571 (1986)
Stringari, S., Treiner, J.: J. Chem. Phys.87, 5021 (1987)
Buchenau, H. et al.: J. Chem. Phys.92, 6875 (1990)
Stephens, P.W., King, J.G.: Phys. Rev. Lett.51, 1538 (1983)
Syskakis, E. et al.: J. Low Temp. Phys.79, 341 (1990)
Stringari, S.: Phys. Lett. A106, 267 (1984)
Weisgerber, S.: Ph. D. Thesis, Erlangen 1992
Reinhard, P.-G., Friedrich, J., Voegeler, N.: Z. Phys. A — Atoms, and Nuclei316, 207 (1984)
Brack, M., Genzken, O., Hansen, K.: Z. Phys. D. — Atoms, Molecules and Clusters21, 65 (1991)
Weisgerber, S., Reinhard, P.-G.: Phys. Lett. B158, 407 (1991)
Aldrich III, C.H., Pines, D.: J. Low Temp. Phys.32, 689 (1978)
Bedell, K., Pines, D.: Phys. Rev. Lett.45, 39 (1980)
Bedell, K., Pines, D.: Phys. Lett. A78, 281 (1980)
Scherm, R. et al.: Phys. Rev. Lett.59, 217 (1987)
Kohn, W., Sham, J.L.: Phys. Rev.140, A 1133 (1990)
Dreizler, R.M., Gross, E.K.U.: Density functional theory. Berlin, Heidelberg, New York: Springer 1990
Reinhard, P.-G.: In: Computational nuclear physics, vol. 1, Langanke, K., Maruhn, J.A., Koonin, S.E. (eds.). Berlin, Heidelberg, New York: Springer 1991
Genzken, O., Brack, M.: Phys. Rev. Lett.67, 3286 (1991)
Lang, N.D., Kohn, W.: Phys. Rev. B1, 4555 (1970)
Guirao, A., Pi, M., Barranco, M.: Phys. D — Atoms, Molecules and Clusters91, 185 (1991)
Hess, D.W., Pines, D.: J. Low Temp. Phys.72, 247 (1988)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Weisgerber, S., Reinhard, P.G. The shell structure of3He droplets. Z Phys D - Atoms, Molecules and Clusters 23, 275–282 (1992). https://doi.org/10.1007/BF01437405
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01437405