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Neutrino energy transport in weak decoupling and big bang nucleosynthesis

E. Grohs1,2,*, G. M. Fuller1, C. T. Kishimoto1,3, M. W. Paris4, and A. Vlasenko1,5

  • 1Department of Physics, University of California, San Diego, La Jolla, California 92093, USA
  • 2Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 3Department of Physics and Biophysics, University of San Diego, San Diego, California 92110, USA
  • 4Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 5Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA

  • *Corresponding author. egrohs@umich.edu

Phys. Rev. D 93, 083522 – Published 21 April, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.083522

Abstract

We calculate the evolution of the early universe through the epochs of weak decoupling, weak freeze-out and big bang nucleosynthesis (BBN) by simultaneously coupling a full strong, electromagnetic, and weak nuclear reaction network with a multienergy group Boltzmann neutrino energy transport scheme. The modular structure of our code provides the ability to dissect the relative contributions of each process responsible for evolving the dynamics of the early universe in the absence of neutrino flavor oscillations. Such an approach allows a detailed accounting of the evolution of the νe, ν¯e, νμ, ν¯μ, ντ, ν¯τ energy distribution functions alongside and self-consistently with the nuclear reactions and entropy/heat generation and flow between the neutrino and photon/electron/positron/baryon plasma components. This calculation reveals nonlinear feedback in the time evolution of neutrino distribution functions and plasma thermodynamic conditions (e.g., electron-positron pair densities), with implications for the phasing between scale factor and plasma temperature; the neutron-to-proton ratio; light-element abundance histories; and the cosmological parameter Neff. We find that our approach of following the time development of neutrino spectral distortions and concomitant entropy production and extraction from the plasma results in changes in the computed value of the BBN deuterium yield. For example, for particular implementations of quantum corrections in plasma thermodynamics, our calculations show a 0.4% increase in deuterium. These changes are potentially significant in the context of anticipated improvements in observational and nuclear physics uncertainties.

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