The Solar Proton Burning Process Revisited In Chiral Perturbation Theory

Abstract

The proton burning process p + p -> d + e(+) + ν(e), important for the stellar evolution of main-sequence stars of mass equal to or less than that of the Sun, is computed in effective field theory using chiral perturbation expansion to the next-to-next-to leading chiral order. This represents a model-independent calculation consistent with low-energy effective theory of QCD comparable in accuracy to the radiative np capture at thermal energy previously calculated by first using very accurate two-nucleon wavefunctions backed up by an effective field theory technique with a finite cut-off. The result obtained thereby is found to support within theoretical uncertainties the previous calculation of the same process by Bahcall and his co-workers.

30 pages, 2 eps files, aaspp4.sty needed, slightly modified, to be published in Ap. J

References in corpus (3)

• A New Expansion for Nucleon-Nucleon Interactions
• The potential of effective field theory in NN scattering
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory

Cited by in corpus (45)

• Solar fusion cross sections II: the pp chain and CNO cycles
• Nuclear weak-interaction processes in stars
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear effective field theory: status and perspectives
• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Neutrino Reactions on Deuteron
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Proton-Proton Fusion in Effective Field Theory
• Proton-Proton Fusion in Effective Field Theory to Fifth Order
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• The ${\mu }^{-}d$ capture rate in effective field theory
• Nuclear Currents in Chiral Effective Field Theory
• The Power Of Effective Field Theories In Nuclei: The Deuteron, NN Scattering and Electroweak Processes
• Proton-Proton Fusion in Leading Order of Effective Field Theory
• Proton-proton fusion in pionless effective theory
• Extracting the neutron-neutron scattering length -- recent developments
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Uncertainty quantification for proton-proton fusion in chiral effective field theory
• Asymmetry in $\vec{n}+p->d+\gamma$
• Elementary Heating Events - Magnetic Interactions Between Two Flux Sources. III Energy Considerations
• The Solar $Hep$ Process
• The Anapole Form Factor of the Deuteron
• Muon Capture on the Deuteron -- The MuSun Experiment
• Effective-field-theory predictions of the muon-deuteron capture rate
• A Higher-Order Calculation of $np$ Scattering in Cut-Off Effective Field Theory
• Renormalization group analysis of nuclear current operators
• Electroweak Currents from Chiral Effective Field Theory
• Neutron-Neutron Fusion
• Chiral Electroweak Currents in Nuclei
• Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Chiral Symmetry In Nuclear Physics
• Chiral symmetry in nuclei
• Renormalization of proton-proton fusion in chiral effective field theory
• Revisiting proton-proton fusion in chiral effective field theory
• Nucleon-Nucleon interaction, charge symmetry breaking and renormalization
• Muon capture on the deuteron in chiral effective field theory
• Effective Field Theories, Landau-Migdal Fermi-Liquid Theory and Effective Chiral Lagrangians for Nuclear Matter
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• Solar Proton Burning Process Revisited within a Covariant Model Based on the Bethe-Salpeter Formalism
• Neutrino-nucleus reactions in the energy range 1-100 MeV