Noncanonicaly Embedded Rational Map Soliton in Quantum SU(3) Skyrme Model

TL;DR

This paper explores a quantum SU(3) Skyrme model using a noncanonical basis and rational map ansatz, deriving explicit quantum Lagrangian and Hamiltonian expressions that reveal stabilization mechanisms for higher topological number solitons.

Contribution

It introduces a novel noncanonical basis approach and explicit quantum formulations for SU(3) Skyrme solitons with higher topological charge, advancing understanding of quantum stabilization.

Findings

Five different moments of inertia identified in the Hamiltonian.

Negative quantum mass corrections contribute to soliton stability.

Explicit quantum Lagrangian and Hamiltonian expressions derived.

Abstract

The quantum Skyrme model is considered in non canonical bases SU(3) > SO(3) for the state vectors. A rational map ansatz is used to describe the soliton with the topological number bigger than one. The canonical quantization of the Lagrangian generates in Hamiltonian five different "moments of inertia" and negative quantum mass corrections, which can stabilize the quantum soliton solution. Explicit expressions of the quantum Lagrangian and the Hamiltonian are derived for this model soliton.