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

Marina-Aura Dariescu 1  and Ciprian Dariescu 1
  • 1 Faculty of Physics, Alexandru Ioan Cuza” University of Iaşi, Bd. Carol I, no. 11, 700506, Iaşi, Romania

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.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • [1] L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.3370

  • [2] L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.4690

  • [3] A. G. Riess et. al., Astron. J. 116, 1006 (1998) http://dx.doi.org/10.1086/300440

  • [4] S. Perlmutter et. al., Astrophys. J. 517, 565 (1999) http://dx.doi.org/10.1086/307221

  • [5] D. N. Spergel et. al., Astrophys. J. Suppl. 148, 175 (2003) http://dx.doi.org/10.1086/377226

  • [6] C. L. Bennett et. al., Astrophys. J. Suppl. 148, 1 (2003) http://dx.doi.org/10.1086/377253

  • [7] C. B. Netterfield et. al., Astrophys. J. 571, 604 (2002) http://dx.doi.org/10.1086/340118

  • [8] N. W. Halverson et. al., Astrophys. J. 568, 38 (2002) http://dx.doi.org/10.1086/338879

  • [9] K. M. Khamesian, N. Rashidi, Astropart. Phys. 35, 828 (2012) and the references there in http://dx.doi.org/10.1016/j.astropartphys.2012.02.012

  • [10] V. Faraoni, Phys. Rev. D 62, 023504 (2000) http://dx.doi.org/10.1103/PhysRevD.62.023504

  • [11] K. Nozari, Phys. Lett. B 652, 159 (2007) http://dx.doi.org/10.1016/j.physletb.2007.07.015

  • [12] I. Zlatev, L. Wang, P.J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999). http://dx.doi.org/10.1103/PhysRevLett.82.896

  • [13] P.J. Steinhardt, L. Wang, I. Zlatev, Phys. Rev. D 59, 123504 (1999) http://dx.doi.org/10.1103/PhysRevD.59.123504

  • [14] T. Chiba, Phys. Rev. D 60, 083508 (1999) http://dx.doi.org/10.1103/PhysRevD.60.083508

  • [15] J.-P. Uzan, Phys. Rev. D 59, 123510 (1999) http://dx.doi.org/10.1103/PhysRevD.59.123510

  • [16] F. Perrotta, C. Baccigalupi, S. Matarrese, Phys. Rev. D 61, 023507 (1999) http://dx.doi.org/10.1103/PhysRevD.61.023507

  • [17] R. Maartens, D. Wands, B. A. Bassett, I. Heard, Phys. Rev. D 62, 041301 (2000) http://dx.doi.org/10.1103/PhysRevD.62.041301

  • [18] Y. Himemoto, T. Tanaka, M. Sasaki, Phys. Rev. D 65, 104020 (2002) http://dx.doi.org/10.1103/PhysRevD.65.104020

  • [19] N. Sago, Y. Himemoto, M. Sasaki, Phys. Rev. D 65, 024014 (2002) http://dx.doi.org/10.1103/PhysRevD.65.024014

  • [20] Y. Himemoto, M. Sasaki, Phys. Rev. D 63, 044015 (2001) http://dx.doi.org/10.1103/PhysRevD.63.044015

  • [21] S. L. Dubovsky, V. A. Rubakov, P. G. Tinyakov, Phys. Rev. D 62, 105011 (2000) http://dx.doi.org/10.1103/PhysRevD.62.105011

  • [22] M. A. Dariescu, C. Dariescu, Astroparticle Physics 34, 116 (2010) http://dx.doi.org/10.1016/j.astropartphys.2010.06.005

  • [23] D. Langlois, M. Sasaki, Phys. Rev. D 68, 064012 (2003) http://dx.doi.org/10.1103/PhysRevD.68.064012

  • [24] M. A. Dariescu, C. Dariescu, Astrophysics and Space Science 344, 529 (2013) http://dx.doi.org/10.1007/s10509-012-1352-7

  • [25] I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products, 4th edn (Academic, New York, 1965)

  • [26] G. Pöschl, E. Teller, Z. Physik 83, 143 (1933) http://dx.doi.org/10.1007/BF01331132

  • [27] F. Cooper, A. Khare, U. Sukhatme, Physics Reports 251, 267 (1995) http://dx.doi.org/10.1016/0370-1573(94)00080-M

OPEN ACCESS

Journal + Issues

Search