THE EQUATION OF STATE AND THE QUASIPARTICLE MASS IN THE DEGENERATE FERMI SYSTEM WITH AN EFFECTIVE INTERACTION

  • Yu. M. Poluektov National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., 61108 Kharkov, Ukraine https://orcid.org/0000-0002-3207-3226
  • A. A. Soroka National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., 61108 Kharkov, Ukraine

Abstract

General formulas are derived for the quasiparticle effective mass and the equation of state of the Fermi system with account of the interparticle attraction at long distances and repulsion at short distances. Calculations are carried out of the equation of state and the effective mass of the Fermi system at zero temperature with the use of the modified Morse potential. It is shown that pair repulsive forces promote decrease of the effective mass, and attractive forces promote its increase. With certain choice of parameters of the potential the dependence of the pressure on the density has a nonmonotonic character, which enables to describe the coexistence of the liquid and gaseous phases. The influence of three-body interactions on the equation of state and the effective mass is considered. The calculation results are compared with experimental data concerning the quasiparticle effective mass in the liquid 3Не.

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Author Biography

Yu. M. Poluektov, National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., 61108 Kharkov, Ukraine

References

Landau L.D. The theory of a Fermi liquid // Sov. Phys. JETP. – 1957. – Vol. – No. 6. – P. 920-925.

Pines D., Nozieres P. The theory of quantum liquids. Vol. I. – New York: Benjamin, 1966.

Lifshitz E.M., Pitaevskii L.P. Statistical physics. Vol. 9 (Part 2). – Oxford: Butterworth-Heinemann, 1980.

Jastrow R. Many-body problem with strong forces // Phys. Rev. – 1955. – Vol. 98. – No.5. – P. 1479-1484.

Thouless D.J. The quantum mechanics of many-body systems. – New York: Academic Press, 1972.

Skyrme Т.H.R. The effective nuclear potential // Nucl. Phys. – 1959. – Vol. 9. – P. 615-634.

Barts B.I., Bolotin Yu.L., Inopin E.V., Gonchar V.Yu. Metod Hartri-Foka v teorii jadra (in Russian). – Kiev: Naukova Dumka, 1982.

Poluektov Yu.M. On the quantum-field description of many-particle Fermi systems with spontaneously broken symmetry

// Ukr. J. Phys. – 2005. – Vol. 50. – No. 11. – P. 1303-1316; arXiv:1303.4913 [cond-mat.stat-mech].

Poluektov Yu.M., Soroka A.A., Shulga S.N. The self-consistent field model for Fermi systems with account of three-body interactions // arXiv:1503.02428 [cond-mat.stat-mech].

Bazarov I.P. Statisticheskaja teorija kristallicheskogo sostojanija (in Russian). – Moskva: Izd. Moskovskogo universiteta, 1972.

Aziz R.A., Slaman M.J. An examination of ab initio result for the helium potential energy curve // J. Chem. Phys. – 1991. – Vol. 94. – No.12. – P. 8047-8053.

Anderson J.B., Traynor C.A., Boghosian B.M. An exact quantum Monte Carlo calculation of the helium-helium intermolecular potential // J. Chem. Phys. – 1993. – Vol. 99. – No.1. – P. 345-351.

Brueckner K.A. Teorija jadernoi materii (in Russian). – Moskva: Mir, 1964.

Sarry A.M., Sarry M.F. On multiparticle interaction // Tech. Phys. – 2014. – Vol.9. – No. 4. – P. 474-481.

Hammer H-W., Nogga A., Schwenk A. Colloquium: Three-body forces: From cold atoms to nuclei // Rev. Mod. Phys. – 2013. – Vol. 85. – No.1. – P. 197-216.

Sarkar A.K., Sengupta S. Three body interaction in ionic crystals // Solid State Commun. – 1969. – Vol. 7. – P. 135-137.

Peshkov V.P. Properties of 3He and of its solutions in 4He // Sov. Phys. Usp. – 1968. – Vol.11. – P. 209-228.

Wheatley J.C. Experimental properties of the extraordinary phases of liquid 3He at millikelvin temperatures // Physica. – 1973. – Vol. 73. – P. 218-244; (see also «Sverhtekuchest gelija-3, Ed. by I.M. Khalatnikov. – Moskva: Mir, 1975).

Radzig A.A., Smirnov B.M. Spravochnik po atomnoi i molekuljarnoj fizike (in Russian). – Moskva: Atomizdat, 1980.

Published
2015-11-23
Cited
How to Cite
Poluektov, Y. M., & Soroka, A. A. (2015). THE EQUATION OF STATE AND THE QUASIPARTICLE MASS IN THE DEGENERATE FERMI SYSTEM WITH AN EFFECTIVE INTERACTION. East European Journal of Physics, 2(3), 40-49. https://doi.org/10.26565/2312-4334-2015-3-05