Summary
The properties of a dilute system of Bose particles with a short-range repulsive and a long-range attractive potential are studied. Some conditions on the scattering amplitude are found to assure the thermodinamic stability of the system. The method developed by Beliaev is used for calculating the ground-state energy and the elementary excitation spectrum of the system. The results are compared with those of Huang, Ezawa and Iordanskii and are found to be in complete agreement.
Riassunto
Sono state analizzate le proprietà di un sistema diluito di bosoni interagenti mediante un potenziale formato da una parte attrattiva a lungo range ed una parte repulsiva a corto range. Sono state trovate aloune condizioni a cui deve soddisfare l’ampiezza di scattering perchè il sistema sia termodinamicamente stabile. Per il calcolo dell’energia dello stato fondamentale e dello spettro di eccitazione del sistema è stato usato il metodo sviluppato da Beliaev. I risultati sono stati confrontati con quelli di Huang, Ezawa Iordanskii e sono stati trovati in complete accordo.
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References
S. T. Beliaev:Sov. Phys. Jept:7, 289 (1958).
S. T. Beliaev:Sov. Phys. JEPT:7, 299 (1958).
T. D. Lee, K. Huang andC. N. Yang:Phys. Rev.,106, 1135 (1957).
S. V. Iordanskii:Sov. Phys. JEPT:20, 112 (1965).
K. Huang:Phys. Rev.,115, 765 (1959).
H. Ezawa:Jour. of Math. Phys.,6, 380 (1965).
N. M. Hugenoltz andD. Pines:Phys. Rev.,116, 489 (1959).
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The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research under Contract AF 61(052)-826 through the European Office of Aerospace Research (OAR), United States Air Force.
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Coniglio, A., Marinaro, M. & Maturi, M. Stability conditions for a boson system interacting with a partly repulsive and partly attractive potential. Nuovo Cimento B (1965-1970) 40, 184–196 (1965). https://doi.org/10.1007/BF02710773
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DOI: https://doi.org/10.1007/BF02710773