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The force of attraction between nucleons due to vacuum fluctuation

Anupam Ghosh

Abstract

In this letter, we derive the interaction energy and the force between two parallel metal plates, arising from quantum vacuum fluctuations when they are very close to each other. We consider the vacuum to be composed of a meson field. In Quantum Hadrodynamics, mesons are the carriers of the nuclear force.

The force of attraction between nucleons due to vacuum fluctuation

Abstract

In this letter, we derive the interaction energy and the force between two parallel metal plates, arising from quantum vacuum fluctuations when they are very close to each other. We consider the vacuum to be composed of a meson field. In Quantum Hadrodynamics, mesons are the carriers of the nuclear force.

Paper Structure

This paper contains 4 sections, 30 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Force between metal plates due to vacuum fluctuations
  3. Final Result and Discussion
  4. Conclusions

Figures (1)

  • Figure 1: Plots corresponding to $\lambda_c = 1.46$ fm. The left plot illustrates the variation of interaction energy per unit area, measured in MeV/fm$^2$, while the right plot shows the force per unit area in units of MeV/fm$^3$, as a function of separation (in fm) between the metal plates. The values of energy density and pressure corresponding to $a=2,\,6,\, 10$ fm are indicated within the plots.