Summary
The energy, entropy and specific heat of20Ne and24Mg have been calculated within the finite-temperature Hartree-Fock approximation for a variety of model spaces. It is found that the size of the model space has a negligible effect on the thermal properties of these nuclei for temperatures up to a few MeV,i.e. just above the predicted shape transition. In particular the shape transition itself is adequately described within the 1s-0d shell space, enabling comparison with exact canonical-ensemble results for the same space. The success of the calculations in a surprisingly small model space will prove to be of great relevance to calculations in heavier nuclei.
Similar content being viewed by others
References
G. Bozzolo andJ. P. Vary:Phys. Rev. Lett.,53, 903 (1985).
G. Bozzolo andJ. P. Vary:Phys. Rev. C,31, 1909 (1985).
H. G. Miller, R. M. Quick, G. Bozzolo andJ. P. Vary:Phys. Lett. B,168, 13 (1986).
M. Brack andPh. Quentin:Phys. Scripta A,10, 163 (1974);Phys. Lett. B,52, 159 (1974).
S. Levit andY. Alhassid:Nucl Phys. A,413, 439 (1984).
E. D. Davis andH. G. Miller:Phys. Lett. B,196, 277 (1987).
A. L. Goodman:Phys. Rev. C,34, 1942 (1986).
A. L. Goodman:Phys. Rev. C,33, 2212 (1986).
U. Mosel, P. G. Zint andK. H. Passler:Nucl. Phys. A,236, 236 (1974).
K. Sugawara-Tanabe, K. Tanabe andH. J. Mang:Nucl. Phys. A,357, 45 (1981).
J. L. Egido, P. Ring andH. J. Mang:Nucl. Phys. A,451, 77 (1986).
J. L. Egido, C. Dorso, J. O. Ramussen andP. Ring:Phys. Lett. B,178, 139 (1986).
A. L. Goodman:Phys. Rev. C,35, 2338 (1987).
A. L. Goodman:Phys. Rev. C,37, 2162 (1988).
A. L. Goodman:Phys. Rev. C,38, 977 (1988).
A. L. Goodman:Phys. Rev. C,38, 1092 (1988).
A. L. Goodman:Phys. Rev. C,39, 2008 (1989).
Y. Alhassid, S. Levit andJ. Zingman:Phys. Rev. Lett.,57, 539 (1986).
Y. Alhassid, J. Zingman andS. Levit:Nucl. Phys. A,469, 205 (1987).
H. G. Miller, R. M. Quick andB. J. Cole:Phys. Rev. C,39, 1599 (1989).
R. M. Quick, H. G. Miller andB. J. Cole:Phys. Rev. C,40, 993 (1989).
H. G. Miller, B. J. Cole andR. M. Quick:Phys. Rev. Lett.,63, 1922 (1989).
R. M. Quick, N. J. Davidson, B. J. Cole andH. G. Miller:Phys. Lett. B, to be published.
R. Rossignoli, A. Plastino andJ. P. Vary:Phys. Rev. C,37, 314 (1988).
R. M. Quick andH. G. Miller:Z. Phys. A,336, 279 (1990).
R. K. Bhaduri andW. van Dijk:Nucl. Phys. A,485, 1 (1988).
R. V. Jenson andR. Shankar:Phys. Rev. Lett.,54, 1879 (1985).
B. J. Cole, R. M. Quick andH. G. Miller:Phys. Rev. C,40, 456 (1989).
R. R. Whitehead, A. Watt, B. J. Cole andI. Morrison:Adv. Nucl. Phys.,9, 123 (1977).
J. P. Vary andS. N. Yang:Phys. Rev. C,15, 1545 (1977).
M. S. Sandel, R. J. McCarthy, B. R. Barrett andJ. P. Vary:Phys. Rev. C,17, 777 (1978).
P. Bonche, H. Flocard andP. H. Heenen:Nucl. Phys. A,467, 115 (1987).
R. K. Sheline, I. Ragnarsson, S. Aberg andA. Watt:J. Phys. G,14, 1201 (1988).
H. Flocard, P. H. Heenen, S. J. Krieger andM. S. Weiss:Prog. Theor. Phys.,72, 1000 (1984).
P. M. Endt andC. Van der Leun:Nucl. Phys. A,310, 1 (1978).
B. J. Cole, H. G. Miller andR. M. Quick:Phys. Rev. C,41, 789 (1990).
Author information
Authors and Affiliations
Additional information
The authors of this paper have agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Quick, R.M., Cole, B.J. & Miller, H.G. Effect of model space size on finite-temperature hartree-fock calculations. Nuov Cim A 105, 913–924 (1992). https://doi.org/10.1007/BF02730832
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02730832