Observational constraints on a hyperbolic potential in brane-world inflation


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Abstract

We focus on the large field of a hyperbolic potential form, which is characterized by a parameter f, in the framework of the brane-world inflation in Randall-Sundrum-II model. From the observed form of the power spectrum PR(k), the parameter f should be of order 0.1mp to 0.001mp, the brane tension must be in the range λ ~ (1−10)×1057 GeV4, and the energy scale is around V01/4 ~ 1015 GeV. We find that the inflationary parameters (ns, r, and dns/d(ln k) depend only on the number of e-folds N. The compatibility of these parameters with the last Planck measurements is realized with large values of N.

About the authors

Z. Mounzi

Equipe Physique Quantique et Applications Equipe Physique Quantique et Applications, Faculte des Sciences Ben M’sik; Equipe de Recherche Subatomique et Applications, Laboratoire de Physique de la Matière Condensée, Facultédes Sciences Ben M’sik

Email: safsafi_adil@yahoo.fr
Morocco, Casablanca; Casablanca

M. Ferricha-Alami

Equipe Physique Quantique et Applications Equipe Physique Quantique et Applications, Faculte des Sciences Ben M’sik; Equipe de Recherche Subatomique et Applications, Laboratoire de Physique de la Matière Condensée, Facultédes Sciences Ben M’sik; Centre de Physique Mathématique (CPM), Focal point

Email: safsafi_adil@yahoo.fr
Morocco, Casablanca; Casablanca; Rabat

A. Safsafi

Equipe Physique Quantique et Applications Equipe Physique Quantique et Applications, Faculte des Sciences Ben M’sik; Centre de Physique Mathématique (CPM), Focal point

Author for correspondence.
Email: safsafi_adil@yahoo.fr
Morocco, Casablanca; Rabat

M. Bennai

Equipe Physique Quantique et Applications Equipe Physique Quantique et Applications, Faculte des Sciences Ben M’sik; Centre de Physique Mathématique (CPM), Focal point

Email: safsafi_adil@yahoo.fr
Morocco, Casablanca; Rabat


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