Abstract
The properties of a system of bosons interacting through a two body potential composed of a hard repulsive core followed by an attractive square well and having density of the order of that of liquid4He at theλ-point have been studied. The system is found to have a peculiar behaviour around 1 K and we assert that it may have undergone another phase transition around 1 K. Calculations on the effective mass show that them */m values lie between 2 and 9 so that the interacting bosons may have a transition temperature below 1 K. We have also plottedE k vs.k graph for temperatures below 1 K.
Similar content being viewed by others
References
Kramers H. C., Wasscher J. D., Gorter C. J., Physica18 (1952), 329.
Mercus G. R., Wilks J., Phil. Mag.45 (1954), 1163.
Dokoupil Z., Van Soest G., Wansirk D.H.N., Kapadnis D.G., Physica20 (1954), 1181.
Kramers H. C., Van Perki-Tinbergen T., Wiebes J., Vanden Burg F. A. W., Gorter C. J., Physica20 (1954), 743. Comm. Leiden 296b.
Kramers H. C., Thesis Leiden 1956, Proc. Kon. Ak. Wet. Amsterdam,B 58, (1955), 302.
Kramers H. C., Progress in Low Temperature Physics Vol. II, page 59, edited by C. J. Gorter. (Many other references of Experimental and Theoretical works are available in that article.)
Lee T. D., Huang K., Yang C. N., Phys. Rev.106 (1957), 1135.
Huang K., Yang C. N., Phys. Rev.105 (1957), 767.
Luban M., Grobman W., Phys. Rev. Lett.17 (1966), 182.
Goble D. F., Trainor L. E. H., Cand. J. Phys.46 (1968), 839.
Brueckner K. A., Sawada K., Phys. Rev.106 (1957), 1117, 1128.
Parry W. H., Ter Haar D., App. Phys.19 (1962), 496.
London F., Superfluids, Vol. II, Dover Publications 1962.
Lee T. D., Yang C. N., Phys. Rev.112 (1958), 1419.
Khanna K. M., J. Phys. Soc. Japan27 (1969), 1093.
Byckling E., Phys. Rev.145 (1966), 71.
Henshaw D. G., Woods A. W. D., Phys. Rev.121 (1961), 1266.
Huang K., Phys. Rev.115 (1959), 765.
Khanna K. M., Phukan A. N., Ind. J. Pure and Appl. Phys.9 (1971), 156.
Khanna K. M., Phukan A. N., Physica58 (1972), 263.
Khanna K. M., Phukan A. N., Physica60 (1972), 488.
Phukan A. N., Ph. D. Thesis (1972), Dibrugarh University, India.
Khanna K. M., Statistical Mechanics, Asia Publishing House, Bombay 1968.
Slater J. C., Kirkwood J. C., Phys. Rev.37 (1931), 682.
Khanna K. M., Czech. J. Phys.B 20 (1970), 1166.
Liu L., Liu L. S., Wong K. W., Phys. Rev.135A (1964), 1166.
Khanna K. M., Bhattacharya P., Ind. J. Pure App. Phys.5 (1967), 253.
Author information
Authors and Affiliations
Additional information
The authors are thankful to Prof. F. C.Auluck, Dr. N. R.Ranganathan, Dr. H. G.Venkatesh and Dr. A. N.Phukan for helpful discussion. Authors thanks are due to Prof. B. R.Seth, D.Sc., F.N.A., Director, B.I.T., Mesra for constant encouragement. The authors thankfully acknowledge the financial assistance provided by the Indian National Science Academy, New Delhi.
Rights and permissions
About this article
Cite this article
Khanna, K.M., Das, B.K. Very low temperature properties of bosons with repulsive core and attractive tails. Czech J Phys 23, 1159–1171 (1973). https://doi.org/10.1007/BF01591197
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01591197