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Chinese Physics C> 2005, Vol. 29> Issue(11) : 1033-1040 

Spontaneous Leptogenesis in Brans-Dicke Cosmology

  •  Shanghai Astronomical Observatory, CAS, Shanghai 200030, China2 Graduate School of Chinese Academy of Sciences, Beijing 100049, China3 National Astronomical Observatories, CAS, Beijing 100012, China4 Institute of High Energy Physics, CAS, Beijing 100049, China5 Institute of Theoretical Physics, CAS, Beijing 100080, China6 Hangzhou Teachers College, Hangzhou 310018, China

  • The role of the auxiliary scalar field φ of BD theory in baryon number asymmetry is discussed in this paper. We consider a derivative coupling of this gravitational scalar field to the baryon current JμB or the current of the baryon number minus lepton number JJμB-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 able to yield sufficient baryon asymmetry nB/s～10-10 provided the time of the grand unification is a little bit earlier. In addition,Davoudiasl et al have recently introduced a new type of interaction between the Ricci scalar R and the bayon current Jμ, \partial_{\upmu}R Jμ and also proposed a mechanism for baryogenesis, the gravitational baryogenesis. However, the Einstein equation tells us that 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 BD cosmology. We show that R does not vanish in this case and the required baryon number asymmetry can also be achieved.
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CHEN Chi-Yi, SHEN You-Gen and FENG Bo. Spontaneous Leptogenesis in Brans-Dicke Cosmology[J]. Chinese Physics C, 2005, 29(11): 1033-1040.
CHEN Chi-Yi, SHEN You-Gen and FENG Bo. Spontaneous Leptogenesis in Brans-Dicke Cosmology[J]. Chinese Physics C, 2005, 29(11): 1033-1040. shu
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Received: 2005-03-16
Revised: 1900-01-01
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Spontaneous Leptogenesis in Brans-Dicke Cosmology

    Corresponding author: CHEN Chi-Yi,
  • Shanghai Astronomical Observatory, CAS, Shanghai 200030, China2 Graduate School of Chinese Academy of Sciences, Beijing 100049, China3 National Astronomical Observatories, CAS, Beijing 100012, China4 Institute of High Energy Physics, CAS, Beijing 100049, China5 Institute of Theoretical Physics, CAS, Beijing 100080, China6 Hangzhou Teachers College, Hangzhou 310018, China
  • Received Date: 2005-03-16
  • Accepted Date: 1900-01-01
  • Available Online: 2005-11-05

Abstract: The role of the auxiliary scalar field φ of BD theory in baryon number asymmetry is discussed in this paper. We consider a derivative coupling of this gravitational scalar field to the baryon current JμB or the current of the baryon number minus lepton number JJμB-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 able to yield sufficient baryon asymmetry nB/s～10-10 provided the time of the grand unification is a little bit earlier. In addition,Davoudiasl et al have recently introduced a new type of interaction between the Ricci scalar R and the bayon current Jμ, \partial_{\upmu}R Jμ and also proposed a mechanism for baryogenesis, the gravitational baryogenesis. However, the Einstein equation tells us that 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 BD cosmology. We show that R does not vanish in this case and the required baryon number asymmetry can also be achieved.

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