Space charge solitons forming in a simulation of the BNL booster (with unusual magnet settings).    #accelerators #physics   I was trying to figure out if the stability of 3D crystalline bunches I'd found was because they were solitons and it appears to be the case.<p><a href='posts/202512/post-20251205-212433-a.png'><img src='posts/202512/post-20251205-212433-a.png' loading='lazy' /></a></p><p><a href='posts/202512/post-20251205-212433-b.png'><img src='posts/202512/post-20251205-212433-b.png' loading='lazy' /></a></p><p><a href='posts/202512/post-20251205-212433-c.png'><img src='posts/202512/post-20251205-212433-c.png' loading='lazy' /></a></p><p><a href='posts/202512/post-20251205-212433-d.png'><img src='posts/202512/post-20251205-212433-d.png' loading='lazy' /></a></p><p><a href='posts/202512/post-20251205-212433-e.png'><img src='posts/202512/post-20251205-212433-e.png' loading='lazy' /></a></p>