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What is the Pressure Inside a Proton?

Published in Particle Physics 3 mins read

The pressure inside a proton reaches an astonishing peak of approximately 10^35 pascals near its core, a force that vastly exceeds pressures found in even the densest known cosmic objects.

Understanding Proton Internal Pressure

The internal dynamics of a proton, one of the fundamental building blocks of atomic nuclei, are governed by incredibly powerful forces. Unlike a solid sphere with uniform pressure, the pressure within a proton varies significantly with distance from its center.

Pressure Distribution

The pressure within a proton is not constant and can be characterized by two distinct regions:

  • Repulsive Pressure at the Core: Near the center of the proton, extending outwards to about 0.6 femtometers (fm), there is a strong repulsive pressure. This outward push is where the peak pressure of roughly 10^35 pascals is observed. It suggests that the constituent particles are intensely resisting confinement within this tiny space.
  • Binding Pressure at Greater Distances: As one moves further away from the proton's center, the repulsive pressure gives way to a binding pressure. This inward-pulling force is essential for holding the proton together, creating a stable particle despite the extreme forces at play within its core.

Extreme Magnitude

To put the peak pressure of 10^35 pascals into perspective:

  • This pressure is estimated to be significantly higher than the pressure found inside neutron stars, which are considered the most densely packed known objects in the Universe. Neutron stars are the collapsed cores of massive stars, where matter is compressed to incredible densities, yet the proton's internal pressure surpasses even these cosmic behemoths.
  • For comparison, the pressure at the Earth's core is about 3.6 x 10^11 pascals, and the pressure at the center of the Sun is around 2.5 x 10^16 pascals. The proton's internal pressure is orders of magnitude greater than anything found in stars or planets.

Why Such Immense Pressure?

This extraordinary pressure arises from the fundamental constituents and forces within the proton:

  • Quarks and Gluons: Protons are composed of fundamental particles called quarks—specifically, two up quarks and one down quark. These quarks are held together by the strong nuclear force, which is mediated by particles called gluons.
  • Quantum Confinement: The quarks and gluons are confined within the proton's tiny volume, which has a radius of approximately 0.84 femtometers. The intense interactions and rapid movements of these particles within such a small space generate the immense internal pressure. The repulsive pressure at the core can be thought of as the quarks pushing against each other and the boundaries of their confinement, while the binding pressure ensures the overall stability of the proton.

Key Characteristics of Proton Internal Pressure

The table below summarizes the critical aspects of pressure within a proton:

Characteristic Description Value/Type
Peak Pressure The maximum pressure experienced within the proton Approximately 10^35 Pascals
Location of Peak Found near the proton's center Up to ~0.6 femtometers (fm)
Pressure Type (Core) A strong outward-pushing force, indicating repulsion between constituents Repulsive
Pressure Type (Outer) An inward-pulling force that contributes to the proton's stability Binding
Significance Far exceeds the pressure found in the densest known objects in the Universe, such as neutron stars Greater than neutron star pressure