Revised big bang nucleosynthesis with long-lived, negatively charged massive particles: Updated recombination rates, primordial 9be nucleosynthesis, and impact of new 6Li limits

Motohiko Kusakabe, K. S. Kim, Myung Ki Cheoun, Toshitaka Kajino, Yasushi Kino, Grant J. Mathews

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


We extensively reanalyze the effects of a long-lived, negatively charged massive particle, X -, on big bang nucleosynthesis (BBN). The BBN model with an X -particle was originally motivated by the discrepancy between the 6, 7Li abundances predicted in the standard BBN model and those inferred from observations of metal-poor stars. In this model, 7Be is destroyed via the recombination with an X -particle followed by radiative proton capture. We calculate precise rates for the radiative recombinations of 7Be, 7Li, 9Be, and 4He with X -. In nonresonant rates, we take into account respective partial waves of scattering states and respective bound states. The finite sizes of nuclear charge distributions cause deviations in wave functions from those of point-charge nuclei. For a heavy X -mass, mX≳ 100 GeV, the d-wave → 2P transition is most important for 7Li and 7, 9Be, unlike recombination with electrons. Our new nonresonant rate of the 7Be recombination for mX= 1000 GeV is more than six times larger than the existing rate. Moreover, we suggest a new important reaction for 9Be production: the recombination of 7Li and X -followed by deuteron capture. We derive binding energies of X nuclei along with reaction rates and Q values. We then calculate BBN and find that the amount of 7Be destruction depends significantly on the charge distribution of 7Be. Finally, updated constraints on the initial abundance and the lifetime of the X -are derived in the context of revised upper limits to the primordial 6Li abundance. Parameter regions for the solution to the 7Li problem and the primordial 9Be abundances are revised.

Original languageEnglish
Article number5
JournalAstrophysical Journal, Supplement Series
Issue number1
Publication statusPublished - 2014 Sep 1


  • atomic processes
  • early universe
  • elementary particles
  • nuclear reactions, nucleosynthesis, abundances
  • primordial nucleosynthesis
  • stars: abundances

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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