Peakons and Q-balls in the baby Skyrme model

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.085030· OSTI ID:21607962

Lis, Jakub ^[1]

---

1. Department of Field Theory, Institute of Physics at the Jagiellonian University, Reymonta 4, 30-059 Cracow (Poland)

In this paper, we investigate the Q-ball Ansatz in the baby Skyrme model. First, the appearance of peakons, i.e. solutions with extremely large absolute values of the second derivative at maxima, is analyzed. It is argued that such solutions are intrinsic to the baby Skyrme model and do not depend on the detailed form of a potential used in calculations. Next, we concentrate on compact nonspinning Q-balls. We show the failure of a small parameter expansion in this case. Finally, we explore the existence and parameter dependence of Q-ball solutions.

• OSTI ID: 21607962
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXPANSION
FAILURES
MATHEMATICAL SOLUTIONS
NUCLEON-NUCLEON POTENTIAL
POTENTIALS
SIMULATION
SKYRME POTENTIAL