What´s the cosmic ray's energy dependence?

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Discussion Overview

The discussion revolves around the energy dependence of cosmic rays, particularly focusing on the relativistic energy expression and the differences in energy levels among protons within the cosmic ray spectrum, which ranges from 109 GeV to 1021 GeV. Participants explore the implications of momentum in determining energy differences and the origins of these cosmic rays.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant states that the energy of relativistic cosmic rays can be expressed using the equation E = (p2c2 + m02c4)½, questioning how the difference in energy between protons at 109 GeV and 1021 GeV depends solely on momentum.
  • Another participant affirms that in the relativistic limit, the energy difference is indeed related to momentum, suggesting that m0 and c are constants, thus only p varies to achieve different energy levels.
  • A further contribution emphasizes that the origins of protons at different energy levels are significant, noting that lower-energy protons primarily originate from the Sun, while ultra-high-energy cosmic rays may arise from various mechanisms, including neutron stars and supernovae, which are not fully understood.

Areas of Agreement / Disagreement

Participants generally agree that the energy difference between protons is related to momentum. However, there is no consensus on the mechanisms behind the acceleration of cosmic rays to such high energies, indicating multiple competing views on their origins.

Contextual Notes

The discussion highlights the complexity of cosmic ray origins and the mechanisms of their acceleration, with some assumptions about the nature of relativistic particles and the lack of complete understanding regarding high-energy cosmic ray production.

morenopo2012
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i read that the cosmic rays are almost at the velocity of the light, therefore, if they are relativistic their energy it is expressed as

E = (p2c2 + m02c4)½

if the cosmic rays have a spectrum energy from 109 GeV to 1021 GeV

the difference between a proton with an energy of 109 and another one with an energy of 1021 it depends only of the momentum? and if it does, How is this possible?
 
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morenopo2012 said:
How is this possible?
What do you mean? It's possible since you are working in the relativistic limit.
 
morenopo2012 said:
i read that the cosmic rays are almost at the velocity of the light, therefore, if they are relativistic their energy it is expressed as

E = (p2c2 + m02c4)½

if the cosmic rays have a spectrum energy from 109 GeV to 1021 GeV

the difference between a proton with an energy of 109 and another one with an energy of 1021 it depends only of the momentum? and if it does, How is this possible?
m0 and c are constant, so only p can vary to get variable E.
 
morenopo2012 said:
the difference between a proton with an energy of 109 and another one with an energy of 1021 it depends only of the momentum? and if it does, How is this possible?
Yes, it depends only on the momentum. Obviously you have "slow" and "fast" protons. The difference between those is their origin (how they are produced and accelerated to those energies). For example low-energetic protons (from the whole spectrum of CRs), originate mainly from the Sun (they are produced and accelerated in the same way solar winds do). The mechanism that leads to accelerating particles to the ultra-high-energy-cosmic-rays (UHECR) regime is not 100% understood and it may not be just a single one (e.g. some can come from neutron stars -although the neutron stars are not that many- , or they can be accelerated by Supernovae etc)...
 

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