Symmetries in Collisions as Explored through the Harmonic Oscillator

Martin Freer; Miriam Davies

doi:10.3390/sym16020231

Symmetries in Collisions as Explored through the Harmonic Oscillator

Martin Freer^*, Miriam Davies

^*Corresponding author for this work

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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 language	English
Article number	231
Number of pages	14
Journal	Symmetry
Volume	16
Issue number	2
DOIs	https://doi.org/10.3390/sym16020231
Publication status	Published - 14 Feb 2024

Keywords

symmetry
collisions
structure
nuclei
clustering

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AB - 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.

KW - symmetry

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KW - structure

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KW - clustering

U2 - 10.3390/sym16020231

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Symmetries in Collisions as Explored through the Harmonic Oscillator

Abstract

Keywords

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