Compact Q-balls and Q-shells in the CPN type models

Abstract

We show that the CPN model with odd number of scalar fields and V-shaped potential possesses finite energy compact solutions in the form of Q-balls and Q-shells. The solutions were obtained in 3+1 dimensions. Q-balls appears for N=1 and N=3 whereas Q-shells are present for higher odd values of N. We show that energy of these solutions behaves as E~|Q|^5/6, where Q is the Noether charge.

23 pages, 9 figures

References in corpus (8)

• Knots in the Skyrme-Faddeev model
• Compact Q-balls and Q-shells in a scalar electrodynamics
• Compact Q-balls in the complex signum-Gordon model
• Compact oscillons in the signum-Gordon model
• Compact Q-balls
• Spinning Q-balls in the complex signum-Gordon model
• Potentials and the vortex solutions in the $C{P}^N$ Skyrme-Faddeev model
• Some (3+1) dimensional vortex solutions of the CPN model

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