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B=2 Oblate Skyrmions

2004/05/25 by L. Marleau, Luc Marleau, Marleau, L. +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0405252

RevTeX, 8 pages, 2 figures

openalex publication_date 2004/05/25 · arxiv created 2005/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The numerical solution for the B=2 static soliton of the SU(2) Skyrme model shows a profile function dependence which is not exactly radial. We propose to quantify this with the introduction of an axially symmetric oblate ansatz parametrized by a scale factor d. We then obtain a relatively deformed bound soliton configuration with MB=2/MB=1=1.958. This is the first step towards to description of B>1 quantized states such as the deuteron with a non-rigid oblate ansatz where deformations due to centrifugal effects are expected to be more important.

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