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<p>We study planar non-topological solitons in models with nonlinear potentials that are bounded from below. These models provide consistent completion for the classical consideration at any energy scale. The properties of our solutions indicate the kinematical stability, which is unachievable in the previously studied model with negative quartic self-interaction. Remarkably, our generalization preserves restoration of the full Schrödinger symmetry at low energies, including scale invariance (dilatation) and special conformal symmetry. Our numerical calculations and analytical approximations demonstrate that the details of non-relativistic regime are defined by the lowest nonlinear U(1)-invariant term.</p>

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Generalized models for spinning field lumps on plane

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月16日

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  • Yulia Galushkina,
  • Eduard Kim,
  • Emin Nugaev,
  • Yakov Shnir

摘要

We study planar non-topological solitons in models with nonlinear potentials that are bounded from below. These models provide consistent completion for the classical consideration at any energy scale. The properties of our solutions indicate the kinematical stability, which is unachievable in the previously studied model with negative quartic self-interaction. Remarkably, our generalization preserves restoration of the full Schrödinger symmetry at low energies, including scale invariance (dilatation) and special conformal symmetry. Our numerical calculations and analytical approximations demonstrate that the details of non-relativistic regime are defined by the lowest nonlinear U(1)-invariant term.