Nuclear Matter Density Simulation

Nuclear Matter Density Simulation

This simulation demonstrates the constant nature of nuclear matter density. The relationship between nuclear radius (R) and mass number (A) is given by:

\[ R = R_0 A^{\frac{1}{3}} \]

Where \( R_0 \) is the radius constant (~1.2 fm). The density remains constant because volume increases proportionally with mass.

1 50 250
0.5 fm 1.2 fm 2.0 fm

Nuclear Physics Formulas

Nuclear radius: \( R = R_0 A^{\frac{1}{3}} \)

Nuclear volume: \( V = \frac{4}{3}\pi R^3 = \frac{4}{3}\pi R_0^3 A \)

Nuclear density: \( \rho = \frac{mA}{V} = \frac{3m}{4\pi R_0^3} \)

Current values:

  • Mass number (A): 50
  • Radius constant (R₀): 1.2 fm
  • Nuclear radius (R): 4.15 fm
  • Nuclear density (ρ): 0.138 nucleons/fm³

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