We study a gauged $CP(2)$ model with the Chern-Simons term, focusing our attention on those time-independent radially symmetric configurations with a nontopological profile. We proceed with the minimization of the effective energy in order to introduce the corresponding first-order framework, from which we define a legitimate self-dual scenario. We solve the resulting first-order equations numerically by means of the finite-difference scheme, from which we depict the nontopological solutions. We also identify a special kind of solution which can be partially described by an analytical treatment.

• Received 26 January 2018
• Revised 9 August 2018

DOI:https://doi.org/10.1103/PhysRevD.98.056011

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Published by the American Physical Society