Nuclear Physics and Atomic Energy 21 (2020) 13

Ядерна фізика та енергетика
Nuclear Physics and Atomic Energy

ISSN: 1818-331X (Print), 2074-0565 (Online)
Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
Languages: Ukrainian, English, Russian
Periodicity: 4 times per year

Open access peer reviewed journal

Home page

About

Nucl. Phys. At. Energy 2020, volume 21, issue 1, pages 13-20.
Section: Nuclear Physics.
Received: 27.04.2019; Accepted: 19.03.2020; Published online: 14.05.2020.

Full text (en)
https://doi.org/10.15407/jnpae2020.01.013

The interaction energy of two uniformly charged spheroids. Example of deformed nuclei

S. Ya. Goroshchenko¹, A. V. Nesterov¹, V. A. Nesterov^2,*

¹Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
² Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

^*Corresponding author. E-mail address: v.nest.v@gmail.com

Abstract: We consider the question of calculations of the interaction energy of two uniformly charged spheroids. Three cases are realized in the software: the interaction of a uniformly charged spheroid with a point charge; interaction of two coaxial spheroids; and the general case of mutual position of spheroids. The presented programs are initially oriented for nuclear calculations. However, by a change of numerical coefficients, they can be used in the calculations of the interaction energy in any cases of spheroidal objects with the uniformly distributed charge or mass.

Keywords: Coulomb interaction, uniformly charged spheroids, potential of uniformly charged spheroids, interaction of uniformly charged spheroid and point charge, interaction of coaxial spheroids, interaction of arbitrarily placed spheroids.

References:

1. L.N. Sretenskii. Theory of the Newton Potential (Moskva-Leningrad: Gostekhizdat, 1946) 346 p. (Rus)

2. D.H.E. Dubin. Equilibrium and dynamics of uniform density ellipsoidal non-neutral plasmas. Phys. Fluids B 5(2) (1993) 295. https://doi.org/10.1063/1.860571

3. S. Chandrasekhar. Ellipsoidal Figures of Equilibrium (New Haven: Yale University Press, 1969) 252 p.

4. L.G. D’yachkov. A simple analytical model of a Coulomb cluster in a cylindrically symmetric parabolic trap. High Tempetarure 53(5) (2015) 613. https://doi.org/10.1134/S0018151X15050107

5. V.Yu. Denisov, N.A. Pilipenko. Interaction of two deformed, arbitrarily oriented nuclei. Phys. Rev. C 76(1) (2007) 014602. https://doi.org/10.1103/PhysRevC.76.014602

6. R.M. Devries, M.R. Clover. Coulomb potentials in heavy-ion interactions. Nucl. Phys. A 243 (1975) 528. https://doi.org/10.1016/0375-9474(75)90294-8

7. M.W. Kermode, M.M. Mustafa, N. Rowley. Coulomb potential between two uniformly charged heavy ions. J. Phys. G 16 (1990) L299. https://doi.org/10.1088/0954-3899/16/12/004