Yukawa-like confinement potential of a scalar particle in a Gödel-type spacetime with any l

Abstract

In this paper, we investigate the behavior of a scalar particle within the Yukawa-like potential in a Gödel-type space-time for any l. The behavior of a spinless particle is analyzed in the presence of a topological defect with analytical solutions to the Klein-Gordon equation. By using the generalized series and Nikiforov-Uvarof (NU) methods, we deduce the energy eigenvalues and eigenfunctions. We have discussed on the obtained results.

Linear confinement of a scalar and spin-0 particle in a topologically trivial flat Gödel-type space-time

“…Similarly, the obtained result is different from the one presented in Ref. [99]. Models with confining potentials have been used to describe the spectrum of quarkonia-type systems.…”

“…[109,110] and not explicited in general form by all eigenvalues n. We have evaluated solution for each level individually corresponding to n = 1, 2 by Eq. 49 So, in this paper, we have shown some results about quantum systems where general relativistic effects are taken into account, that in addition with the previous results [21,22,28,35,94,98,99] the present may possess some interesting effects.…”

“…In Ref. [99], authors considered the cylindrical symmetry Som-Raychaudhuri space-time in the presence of a topological defect, and analyze the Yukawa-like confinement of a relativistic scalar particle. They have calculated the energy eigenvalues and wave-functions by using the generalized series method.…”

“…In this stage, to solve Eq. 53, one can use the generalized series method by Eshghi et al [99,112,113], and the parameters a 0 , a 1 , a 2 , a −1 and a −2 are given in Eq. 54, and by a little algebraic calculation, one can evaluate eigenvalues of the problem.…”

“…[98], two different classes of solution for the Klein-Gordon equation in the presence of a scalar potential under the influence of noninertial effects in the cosmic string space-time, were discussed. The behaviour of a scalar particle within the Yukawa-like potential in Som-Raychaudhuri space-time, were investigated in [99].…”