Non-Diffractive Topological Spin Textures of Relativistic Twisted Fermion Beams

• URL: http://arxiv.org/abs/2607.03474v1
• Date: Fri, 03 Jul 2026 16:37:49 GMT
• Title: Non-Diffractive Topological Spin Textures of Relativistic Twisted Fermion Beams
• Abstract summary: In optics and acoustics, non-diffracting polarization measures in clearly diffracting beams, and spin direction distributions in the core of structured waves have been found.<n>We show that in corresponding circumstances the non-diffractive spin textures persist independently of spin, statistics, or kinematics.<n>As a part of the study, we present LG solutions for Dirac particles valid for both relativistic and non-relativistic kinematics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In optics and acoustics, in structured beams, non-diffracting polarization measures in clearly diffracting beams, and spin direction distributions in the core of these waves that have Skyrmionic behavior have been found. We here study the equivalents of these for fermions and show that in corresponding circumstances the non-diffractive spin textures persist independently of spin, statistics, or kinematics (or propagation speed of the structured wave). As a part of the study, we present LG solutions for Dirac particles valid for both relativistic and non-relativistic kinematics.

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