Nontopological self-dual Maxwell-Higgs vortices

¹ Departamento de Física, Universidade Federal da Paraíba - 58051-970, João Pessoa, Paraíba, Brazil
² Departamento de Física, Universidade Federal do Maranhão - 65085-580, São Luís, Maranhão, Brazil
³ Coordenadoria Interdisciplinar de Ciência e Tecnologia, Universidade Federal do Maranhão 65080-805, São Luís, Maranhão, Brazil

Received: 19 August 2014
Accepted: 6 January 2015

Abstract

We study the existence of self-dual nontopological vortices in generalized Maxwell-Higgs models recently introduced in Bazeia D. et al., Eur. Phys. J. C, 71 (2001) 1833. Our investigation is explicitly illustrated by choosing a sixth-order self-interaction potential, which is the simplest one allowing the existence of nontopological structures. We specify some Maxwell-Higgs models yielding BPS nontopological vortices having energy proportional to the magnetic flux, $\Phi _{B}$ , and whose profiles are numerically achieved. Particularly, we investigate the way the new solutions approach the boundary values, from which we verify their nontopological behavior. Finally, we depict the numerically found profiles, highlighting the main features they present.