Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole

Abstract

This paper explores the relativistic quantum motion of scalar bosons in the presence of mixed topological defects: cosmic strings and global monopoles. The Klein-Gordon equation with generalized Coulomb potentials is analyzed in this background. The effects of these topological defects on the equations of motion, phase shifts, and the S-matrix are examined in detail. Bound state solutions are derived from the poles of the S-matrix. We provide analytical expressions for the energy spectrum of bound states, with particular attention to how the parameters of scalar and vector potentials affect the behavior of the system. Furthermore, we explore particular cases involving pure scalar, vector, and mixed scalar-vector potentials, showing how these scenarios impose particular conditions on the existence of bound states. Our results indicate that the solutions obtained associated with scattering and bound states depend significantly on the parameters of the topological defects.

References in corpus (10)

• The Dirac oscillator in a spinning cosmic string spacetime
• Landau Quantization in the Spinning Cosmic String Spacetime
• Quantum dynamics of scalar bosons in a cosmic string background
• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• Can primordial magnetic fields seeded by electroweak strings cause an alignment of quasar axes on cosmological scales?
• Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string
• Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime
• Scalar bosons with Coulomb potentials in a cosmic string background: Scattering and bound states
• Electrostatic self-interaction of charged particles in the space-time of a cosmic string in the context of gravity's rainbow
• Relativistic Coulomb scattering of spinless bosons

Cited by in corpus (1)

• Spinning test particles in the spacetime of a global monopole