Complex-energy analysis of proton-proton fusion

David Gaspard, Jean-Marc Sparenberg, Quentin Wenda, and Daniel Baye
Phys. Rev. C 100, 035805 – Published 27 September 2019

Abstract

An analysis of the astrophysical S factor of the proton-proton weak capture (p+pH2+e++νe) is performed on a large energy range covering solar-core and early Universe temperatures. The measurement of S being physically unachievable, its value relies on the theoretical calculation of the matrix element Λ. Surprisingly, Λ reaches a maximum near 0.13MeV that has been unexplained until now. A model-independent parametrization of Λ valid up to about 5MeV is established on the basis of recent effective-range functions. It provides an insight into the relationship between the maximum of Λ and the proton-proton resonance pole at (140467i)keV from analytic continuation. In addition, this parametrization leads to an accurate evaluation of the derivatives of Λ, and hence of S, in the limit of zero energy.

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  • Received 10 February 2019
  • Revised 15 May 2019

DOI:https://doi.org/10.1103/PhysRevC.100.035805

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

David Gaspard*, Jean-Marc Sparenberg, Quentin Wenda, and Daniel Baye

  • Nuclear Physics and Quantum Physics, CP229, Université libre de Bruxelles (ULB), École polytechnique, B-1050 Brussels, Belgium

  • *FNRS Aspirant, dgaspard@ulb.ac.be
  • jmspar@ulb.ac.be

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Issue

Vol. 100, Iss. 3 — September 2019

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