Symmetries in Collisions as Explored through the Harmonic Oscillator

Martin Freer*, Miriam Davies

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

The present study explores the symmetries associated with the cluster structure of light nuclei and draws the connection between solutions of the Schrödinger equation for the harmonic oscillator and the quasi-crystalline arrangements of α-particles, which gives rise to a series of collective behaviors. The double-center harmonic oscillator is used to formulate the collisions of two nuclei described by harmonic oscillator solutions and traces out the evolution of the cluster structure in the dynamics of the collision process and demonstrates that the symmetries are preserved in this process. The connection between this study and stellar nucleosynthesis is described.
Original languageEnglish
Article number231
Number of pages14
JournalSymmetry
Volume16
Issue number2
DOIs
Publication statusPublished - 14 Feb 2024

Keywords

  • symmetry
  • collisions
  • structure
  • nuclei
  • clustering

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