Monte Carlo uncertainty of the He3(α,γ)Be7 reaction rate

R. J. deBoer, J. Görres, K. Smith, E. Uberseder, M. Wiescher, A. Kontos, G. Imbriani, A. Di Leva, and F. Strieder
Phys. Rev. C 90, 035804 – Published 19 September 2014

Abstract

Background: The He3(α,γ)Be7 reaction is of critical importance in determining the flux of solar neutrinos through the pp-II and pp-III chains. For this reason and others, the description of the cross section and its extrapolation towards low-energy has always been a matter of intense debate. While large systematic differences have been present in the past, several recent measurements are all in excellent statistical agreement.

Purpose: The convergence of the recent individual experimental measurements of the He3(α,γ)Be7 reaction prompts a global analysis of the reaction data. From the combined data, a more precise estimate of the low-energy cross section can be determined.

Results: A global R-matrix fit is used to describe the He3(α,γ)Be7 data as well as scattering data over a similar energy range. The R-matrix fit is then subjected to a Monte Carlo analysis to extract the uncertainties on the cross section and corresponding reaction rate.

Conclusion: By combining several recent measurements of the He3(α,γ)Be7 reaction, the combined data yield a zero energy S factor of S(0)=0.542±0.011(MCfit)±0.006(model)0.011+0.019(phaseshifts) keV b. This gives a total uncertainty in S(0) of +0.023/0.017 keV b.

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  • Received 11 March 2014
  • Revised 8 August 2014

DOI:https://doi.org/10.1103/PhysRevC.90.035804

©2014 American Physical Society

Authors & Affiliations

R. J. deBoer*, J. Görres, K. Smith, E. Uberseder, and M. Wiescher

  • The Joint Institute for Nuclear Astrophysics, Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA

A. Kontos

  • The Joint Institute for Nuclear Astrophysics, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48823, USA

G. Imbriani and A. Di Leva

  • Università degli Studi di Napoli “Federico II” and INFN, Napoli, Italy

F. Strieder

  • Institut für Experimentalphysik, Ruhr-Universität Bochum, Bochum, Germany

  • *rdeboer1@nd.edu

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Vol. 90, Iss. 3 — September 2014

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