Three-electron atoms and ions in a magnetic field

Abstract

The energies and physical properties of three electron systems are studied using an Explicitly Correlated Gaussian basis optimized by the Stochastic Variational Method. The stability of the system as a function of the nuclear charge is analyzed. The role of the Coulomb and magnetic interactions in shaping the structure of these systems is discussed. The accuracy of the energies are substantially improved for high magnetic fields.

Baryogenesis from a modulus dominated universe

“…Hence, the modulus decay only reheats the universe to temperatures of MeV − 100 MeV. While successful nucleosynthesis can be realized if T 5 MeV [12,13], popular baryogenesis mechanisms (e.g. leptogenesis, electroweak baryogenesis) operate at much higher temperatures.…”

“…The decay rate of the modulus to sfermions can be determined from (12) by setting Z to zero and replacingẐ with the sfermion Kähler metric. Furthermore, if kinematically accessible, the modulus decay to gravitinosΨ occurs with the rate [16]…”

“…We will, therefore, estimate ∂ T Z ∼ Z/T , ∂ TẐ ∼Ẑ/T . The meson decay rates obtained from (8), (9), (12) and (13) are…”

“…The decay rates derived above should, therefore, be considered to be correct within a factor of a few. 12 In the M-theory model, gravitino final states are kinematically inaccessible in the meson decay. However, there appears a (nearly) massless axion which is dominantly the meson phase.…”

“…11 The case with additional light moduli has been discussed in [38]. 12 In order to be specific, we assume an additional uncertainty by a factor of 3 on the decay rates in (32).…”