Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-08-04
HighEnergyPhys.Nucl.Phys.29:1033-1040,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages Revetex4. First submission on Thu, 25 Nov 2004, HP&NP in press
Scientific paper
The role of the auxiliary scalar field $\phi$ of Brans-Dicke theory played in baryon number asymmetry is discussed in this paper. We consider a derivative coupling of this gravitational scalar field to the baryon current ${J^{\mu}}_B$ or the current of the baryon number minus lepton number ${J^{\mu}}_{B-L}$ based on a series of works of R. Morganstern about the Brans-Dicke cosmology. We find that the spontaneous baryogenesis by this coupling is capable to yield a sufficient baryon asymmetry $n_B/s\sim 10^{10} $ for the time of the grand unification is in a little advanced. In addition, Davoudiasl et al have recently introduced a new type of interaction between the Ricci scalar $R$ and the bayon current $J^{\mu}$, $\partial_{\mu}R J^{\mu}$ and also proposed a mechanism for baryogenesis, the gravitational baryogenesis. However, the Einstein equation tell us that $\dot{R}=0$ in the radiation-dominated epoch of the standard FRW cosmology. In this paper we reconsider the feasibility of having gravitational baryongenesis with such a form of interaction in radiation-filled Brans-Dicke cosmology. We will show that $\dot{R}$ does not vanish in this case and the required baryon number asymmetry can also be achieved.
Chen Chi-Yi
Feng Bo
Shen You-Gen
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