Classical Analysis of Phenomenological Potentials for Metallic Clusters
W.D. Heiss, R.G. Nazmitdinov
TL;DR
This paper investigates classical trajectories in Woods-Saxon and modified Nilsson potentials for metallic clusters, revealing chaos and similarities in periodic orbits under deformation.
Contribution
It provides a comparative classical analysis of phenomenological potentials, highlighting chaos and structural similarities in metallic cluster models.
Findings
Chaotic behavior observed in both potentials with deformation.
Similar shortest periodic orbits identified in the two models.
Chaos linked to specific potential terms and deformation.
Abstract
The classical trajectories of single particle motion in a Wodds-Saxon and a modified Nilsson potential are studied for axial quadrupole deformation. Both cases give rise to chaotic behaviour when the deformation in the Woods-Saxon and the l**2 term in the modified Nilsson potential are turned on. Important similarities, in particular with regard to the shortest periodic orbits, have been found.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.