Scattering and bound states for the Hulthén potential in a cosmic string background

Abstract

In this work we study the Dirac equation with vector and scalar potentials in the spacetime generated by a cosmic string. Using an approximation for the centrifugal term, a solution for the radial differential equation is obtained. We consider the scattering states under the Hulthén potential and obtain the phase shifts. From the poles of the scattering S-matrix the states energies are determined as well.

Non-inertial effects on generalized KG-oscillator in the presence of Coulomb-type potential in topological defects geometry

“…These wave-equations have investigated on the background curved geometries with or without interactions (e. g., [4,5,6,7,8,9]). In the context of cosmic string geometries, these wave-equations have studied by several authors (e. g., [10,11,12,13,14,15,16,17,18,19,20,21,22,23]). In addition, the influence of non-inertial effects in cosmic string space-time was studied in [24,25,26,27,28,29,30,31].…”

Conformal bridge in a cosmic string background

“…Geometrically, such supercharges are associated with the so-called Yano and conformal Yano tensors [21][22][23][24]. Some other examples related to the particle dynamics in curved spaces can be found in references [25][26][27][28][29][30][31][32][33][34][35].…”

“…The effects of the presence of the cosmic string was examined in different physical contexts, see, e.g., refs. [27,31,[33][34][35][46][47][48][49][50]. Our goal here is to study the influence of the geometrical properties of this background (encoded in a "geometrical parameter" α given in terms of the linear mass density of the string) on the dynamics of the systems from the perspective of well-defined integrals of motion in the phase space when considering classical cases, and well-defined symmetry operators for the corresponding quantum versions of the systems.…”

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

“…The Klein-Gordon oscillator [1,2] was inspired by the Dirac oscillator [3] applied to spin-ð1/2Þ particles. The Klein-Gordon oscillator has been investigated in several physical systems, such as in the background of the cosmic string with external fields [4], in the presence of a Coulomb-type potential considering two ways: (i) by modifying the mass term m ⟶ m + S [5] and (ii) via the minimal coupling [6] with a linear potential, in the background space-time produced by topological defects using the Kaluza-Klein theory [7], in the Som-Raychaudhuri space-time in the presence of external fields [8], in the motion of an electron in an external magnetic field in the presence of screw dislocations [9], in the continuous distribution of screw dislocation [10], in the presence of a Cornell-type potential in a cosmic string space-time [11], in the relativistic quantum dynamics of a DKP oscillator field subject to a linear scalar potential [12], in the DKP equation for spin-zero bosons subject to a linear scalar potential [13], and in the Dirac equation subject to a vector and scalar potentials [14]. In the literature, it is known that a cosmic string has been produced by phase transitions in the early universe [15] as it is predicted in the extensions of the standard model [16,17].…”