Pair instability supernova pressure and temperature question

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Discussion Overview

The discussion revolves around the concept of pair instability supernovae, specifically focusing on the relationship between pressure, temperature, and the production of electron-positron pairs in the core of supermassive stars. Participants explore the implications of pair production on stellar dynamics and the conservation of mass and energy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why the production of electron-positron pairs reduces pressure in the core of a supermassive star, citing concerns about conservation of mass and energy.
  • Another participant clarifies that pair production involves gamma rays being converted to electron-positron pairs, with atomic nuclei primarily serving to balance momentum.
  • A different participant explains that while total energy density remains unchanged, the pressure decreases because massive particles contribute less to pressure compared to photons at the same energy density.
  • One participant suggests that the creation of more particle pairs should increase pressure to resist gravitational collapse, questioning the dynamics of pressure in relation to the additional mass from the pairs.
  • Another participant asserts that pressure does exist but is lower than what would be expected from pure radiation pressure at the same energy density.

Areas of Agreement / Disagreement

Participants express differing views on the implications of pair production for pressure dynamics in supermassive stars, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

Participants note the complexity of the relationship between mass, energy, and pressure, highlighting that rest mass contributes to energy density but not directly to pressure. There are unresolved aspects regarding the dynamics of pressure in relation to particle production and gravitational forces.

Who May Find This Useful

This discussion may be of interest to those studying astrophysics, particularly in the areas of stellar evolution and supernova mechanisms, as well as individuals exploring the nuances of particle physics in extreme environments.

heartofcourage
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I read a scientific journal article that discusses pair instability supernova - I am puzzled about something discussed in the article. If the collision of atomic nuclei and energetic gamma rays produces electron and positron pairs which reduces the pressure inside a supermassive star's core - why is this so? I don't understand this because of the ideas of conservation of mass and energy. Although electrons and positrons are much smaller than protons or neutrons the mass is conserved isn't it - even after conversion from the former to the latter?
 
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Pair production involves gamma rays converted to electron-positron pairs. The atomic nuclei enter only to keep momentum balanced. They are otherwise unaffected.
 
The total energy density does not change, but the pressure gets reduced as massive particles lead to a lower pressure per energy compared to photons.

For a gas, pV=NkT, where kT is a typical energy of the particles excluding the rest mass, multiplied with the number of particles we get the total kinetic energy (neglecting the potential energy). A rest mass contributes to energy density, but not to pressure.
 
The way that I understand it is that either electron degeneracy pressure or radiative pressure prevent stars' cores collapsing from the gravity of their mass. If you create more particles pairs that have momentum as well striking atomic nuclei to give them some momentum then shouldn't this create enough energy to cause pressure to resist the force of gravity (which would increase with the additional mass from the particle pairs created)?
 
There is still pressure, but it is lower than pure radiation pressure at the same energy density would be.
 

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