### Abstract

We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R / r, and in the opposite approximation, where R≫ r, up to the term quadratic in the ratio r / R. The consideration proposes the law a+ bR^{1 / 3} for the energy, when the charges are close to one another, R→ 0. This leads to the singularity of the force between them to be R^{- 2 / 3}, which is weaker than the Coulomb law, R^{- 2}.

Original language | English |
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Article number | 39 |

Journal | European Physical Journal C |

Volume | 78 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

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### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)

### Cite this

*European Physical Journal C*,

*78*(1), [39]. https://doi.org/10.1140/epjc/s10052-018-5517-6

**Interaction between two point-like charges in nonlinear electrostatics.** / Breev, A. I.; Shabad, A. E.

Research output: Contribution to journal › Article

*European Physical Journal C*, vol. 78, no. 1, 39. https://doi.org/10.1140/epjc/s10052-018-5517-6

}

TY - JOUR

T1 - Interaction between two point-like charges in nonlinear electrostatics

AU - Breev, A. I.

AU - Shabad, A. E.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R / r, and in the opposite approximation, where R≫ r, up to the term quadratic in the ratio r / R. The consideration proposes the law a+ bR1 / 3 for the energy, when the charges are close to one another, R→ 0. This leads to the singularity of the force between them to be R- 2 / 3, which is weaker than the Coulomb law, R- 2.

AB - We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R / r, and in the opposite approximation, where R≫ r, up to the term quadratic in the ratio r / R. The consideration proposes the law a+ bR1 / 3 for the energy, when the charges are close to one another, R→ 0. This leads to the singularity of the force between them to be R- 2 / 3, which is weaker than the Coulomb law, R- 2.

UR - http://www.scopus.com/inward/record.url?scp=85040947710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040947710&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-018-5517-6

DO - 10.1140/epjc/s10052-018-5517-6

M3 - Article

VL - 78

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 1

M1 - 39

ER -