Energy Dependence of Scattering Phase Shifts

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SUMMARY

The discussion centers on the energy dependence of scattering phase shifts, specifically questioning whether these shifts should exhibit linear behavior concerning the energy of incoming particles at infinity. The contributor, working within a relativistic framework, asserts that there is no a-priori reason for linearity and suggests that examples of non-linear energy dependence may exist. The conversation emphasizes the need for further exploration of scattering phase shifts in relativistic contexts.

PREREQUISITES
  • Understanding of scattering theory
  • Familiarity with phase shifts in quantum mechanics
  • Knowledge of relativistic energy/momentum relations
  • Basic concepts of particle physics
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  • Research non-linear scattering phase shifts in quantum mechanics
  • Explore relativistic scattering theory and its implications
  • Study specific examples of phase shifts in particle collisions
  • Investigate the mathematical formulation of phase shifts in different energy regimes
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Physicists, particularly those specializing in quantum mechanics and particle physics, as well as researchers exploring relativistic scattering phenomena.

FunkyDwarf
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Hey all,

This might seem like a strange/silly question but just humour me if you could...

Is there any a-priori reason why a scattering phase shift should be linear in energy (energy of the incoming particle at infinity)? Are there examples of such shifts that have a different energy dependence ?

Cheers!

EDIT: Also FYI I am working in a relativistic framework so using relativistic energy/momentum relations.
 
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I don't think this is ever the case.
 

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