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Scalar particles mass spectrum and localization on FRW branes embedded in a 5D de Sitter bulk

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Central European Journal of Physics

Abstract

In this paper, we study the scalar fields evolving on a FRW brane embedded in a five-dimensional de Sitter bulk. The scale function and the warp factor, solutions of the Einstein equations, are employed in the five-dimensional Gordon equation describing the massive scalar field, whose wave function depends on the cosmic time and on the extra-dimension. We point out the existence of bounded states and find a minimum value of the effective four-dimensional mass. For the test (scalar) field envelope along the extra-dimension, we derive the corresponding Schrödinger-like equation which is formally that for the Pöschl-Teller potential. Accordingly, we have obtained the quantization law for the mass parameter of the tested scalar field.

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Authors and Affiliations

  1. Faculty of Physics, Alexandru Ioan Cuza” University of Iaşi, Bd. Carol I, no. 11, 700506, Iaşi, Romania

    Marina-Aura Dariescu & Ciprian Dariescu

Authors
  1. Marina-Aura Dariescu
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  2. Ciprian Dariescu
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Correspondence to Marina-Aura Dariescu.

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Dariescu, MA., Dariescu, C. Scalar particles mass spectrum and localization on FRW branes embedded in a 5D de Sitter bulk. centr.eur.j.phys. 12, 453–459 (2014). https://doi.org/10.2478/s11534-014-0478-3

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  • DOI: https://doi.org/10.2478/s11534-014-0478-3

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