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PreprintCC BY 4.0arXiv

Collision Dynamics of False-Vacuum Oscillons

Abstract

We study the collision dynamics of localized oscillons in two classes of (1+1)-dimensional scalar field theories with metastable false vacua, a normal class with a positive quartic self-interaction term and an inverted class with a negative quartic term. We construct small-amplitude oscillon solutions around the false vacuum using the Fodor {\emph{et al.}} expansion, and show that the force between oscillons decays exponentially at large separation, with a strength modulated by their relative phase. Numerical simulations of two-oscillon collisions exhibit reflection, crossing, and formation of excited oscillons. Resonance windows occur, similar to those found in kink-antikink collisions. In the normal theory, if the oscillons have sufficient energy, the field can pass over a sphaleron barrier and evolve into a kink-antikink pair, initiating a phase transition to the true vacuum. We also simulate the collision of oscillons evolved from a slightly perturbed sphaleron.

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BibTeX
@misc{campos2026collision,
  title = {{Collision Dynamics of False-Vacuum Oscillons}},
  author = {J. G. F. Campos and N. S. Manton and Azadeh Mohammadi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.12633},
  eprint = {2605.12633},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.12633},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Collision Dynamics of False-Vacuum Oscillons
AU  - J. G. F. Campos
AU  - N. S. Manton
AU  - Azadeh Mohammadi
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2605.12633
UR  - https://arxiv.org/abs/2605.12633
AB  - We study the collision dynamics of localized oscillons in two classes of (1+1)-dimensional scalar field theories with metastable false vacua, a normal class with a positive quartic self-interaction term and an inverted class with a negative quartic term. We construct small-amplitude oscillon solutions around the false vacuum using the Fodor {\emph{et al.}} expansion, and show that the force between oscillons decays exponentially at large separation, with a strength modulated by their relative phase. Numerical simulations of two-oscillon collisions exhibit reflection, crossing, and formation of excited oscillons. Resonance windows occur, similar to those found in kink-antikink collisions. In the normal theory, if the oscillons have sufficient energy, the field can pass over a sphaleron barrier and evolve into a kink-antikink pair, initiating a phase transition to the true vacuum. We also simulate the collision of oscillons evolved from a slightly perturbed sphaleron.
ER  -