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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Kink-antikink collisions in the φ⁶ model.
Patrick Dorey1, Kieran Mersh, Tomasz Romanczukiewicz
1Department of Mathematical Sciences, Durham University, United Kingdom.
Physical Review Letters
|September 21, 2011
Summary
Simulations of kink-antikink collisions in the scalar φ⁶ model reveal resonant scattering. This finding challenges the necessity of internal vibrational modes for multibounce resonances in such systems.
Area of Science:
- Theoretical Physics
- Nonlinear Dynamics
- Quantum Field Theory
Background:
- Kink-antikink (KK) collisions are fundamental in nonlinear field theories.
- Previous research suggested internal vibrational modes are crucial for multibounce resonances.
Purpose of the Study:
- To investigate KK collisions in the one-dimensional nonintegrable scalar φ⁶ model.
- To determine the conditions for resonant scattering in the absence of internal modes.
Main Methods:
- Numerical simulations of the scalar φ⁶ model.
- Analysis of scattering patterns and resonance windows.
- Investigation of bound states in kink-antikink configurations.
Main Results:
- Observed resonant scattering structures in KK collisions.
- Provided a counterexample to the necessity of internal vibrational modes for multibounce resonances.
- Identified bound states in small oscillations about combined kink-antikink configurations as the cause.
Conclusions:
- Multibounce resonances can occur even without internal vibrational modes.
- The φ⁶ model exhibits complex dynamics in KK collisions.
- Bound states play a significant role in resonant scattering phenomena.
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