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A complex-scalar-field model for dark matter
Journal article   Peer reviewed

A complex-scalar-field model for dark matter

G. Rosen
Europhysics letters, v 89(1), p19002
Jan 2010

Abstract

98.80.Jk 98.90.+s
As a consequence of the global definition for the cosmological constant Λ, the empirical relation Λ≅ 2.7$\kappa \rho _{0}$ (with $\rho_{0}$ the density of all matter and radiation) implies that a stringent condition must be satisfied by the Lagrangian for the non-baryonic (dominant) component of dark matter. It is shown that this stringent condition is satisfied by a complex-scalar-field Lagrangian with Higgs-type quartic nonlinearity. An exact spatially homogenous solution to the associated nonlinear field equation satisfies the relation Λ≅ 2.7$\kappa \rho _{0}$ by having an amplitude and an oscillation frequency of the magnitude m≅ 2.47$\times$10-3 eV. Interestingly enough, the latter cosmological value for m falls in the range of the neutrino masses, suggesting that the complex-scalar cosmological field may interact with neutrinos and possibly impart mass to them via Yukawa couplings.

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Physics, Multidisciplinary
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