English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper the relativistic quantum dynamics of a spin-1/2 neutralparticle with a magnetic moment $\mu$ in the cosmic string spacetime isreexamined by applying the von Neumann theory of self--adjoint extensions.Contrary to previous studies where the interaction between the spin and theline of charge is neglected, here we consider its effects. This interactiongives rise to a point interaction: $\boldsymbol{\nabla} \cdot \mathbf{E}=(2\lambda/\alpha)\delta(r)/r$. Due to the presence of the Dirac delta function,by applying an appropriated boundary condition provided by the theory ofself--adjoint extensions, irregular solutions for the Hamiltonian are allowed.We address the scattering problem obtaining the phase shift, S-matrix and thescattering amplitude. The scattering amplitude obtained shows a dependency withenergy which stems from the fact that the helicity is not conserved in thissystem. Examining the poles of the S-matrix we obtain an expression for thebound states. The presence of bound states for this system has not beendiscussed before in the literature.

Scattering and bound states of a spin--1/2 neutral particle in the cosmic string spacetime