Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
By T. S. Park, L. Marcucci, R. Schiavilla, M. Viviani, A. Kievsky, S. Rosati, K. Kubodera, D. Min, Mannque Rho. 2002
148 citations recorded by the source corpus.
Spurred by the recent complete determination of the weak currents in two-nucleon systems up to $\mathcal{O}{(Q}^{3})$ in heavy-baryon chiral perturbation theory, we carry out a parameter-free calculation of the threshold S factors for the solar $\mathrm{pp}$ (proton-fusion) and hep processes in an effective field theory (EFT) that combines the merits of the standard nuclear physics method and systematic chiral expansion. The power of the EFT adopted here is that one can correlate in a unified formalism the weak-current matrix elements of two-, three-, and four-nucleon systems. Using the tritium $\ensuremath{\beta}$-decay rate as an input to fix the only unknown parameter in the theory, we can evaluate the threshold S factors with drastically improved precision; the results are ${S}_{\mathrm{pp}}(0)=3.94\ifmmode\times\else\texttimes\fi{}(1\ifmmode\pm\else\textpm\fi{}0.004)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}25}\mathrm{MeV}\mathrm{}\mathrm{b}$ and ${S}_{\mathrm{hep}}(0)=(8.6\ifmmode\pm\else\textpm\fi{}1.3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}20}\mathrm{keV}\mathrm{}\mathrm{b}.$ The dependence of the calculated S factors on the momentum cutoff parameter $\ensuremath{\Lambda}$ has been examined for a physically reasonable range of $\ensuremath{\Lambda}.$ This dependence is found to be extremely small for the $\mathrm{pp}$ process, and to be within acceptable levels for the hep process, substantiating the consistency of our calculational scheme.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/cbbfaede1320b0dc6455f414d6532b3d545d82b0
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In Nuclear and High Energy Physics
Citations in the corpus
- SOLAR MODELS WITH ACCRETION. I. APPLICATION TO THE SOLAR ABUNDANCE PROBLEM (2011, methodology): “The central value is almost 2% higher than what originally Park et al. (2003) recommended and was used in previous SSM calculations.”
- Solar fusion cross sections II: the pp chain and CNO cycles (2010, methodology): “Instead, a hybrid approach (Park et al., 2003) called EFT* (or MEEFT) has been developed in which transition operators are taken from chiral perturbation theory (χPT), but sandwiched between phenomenological wave functions, Ψpheni and Ψ phen f , generated by a potential model.”
- New Solar Opacities, Abundances, Helioseismology, and Neutrino Fluxes (2004, methodology): “Their lower flux is accounted for by the fact that Turck-Chieze et al. did not use the recent and more accurate pp cross section calculated by Park et al. (2003) and Turck-Chieze et al. did use intermediate screening for fusion reactions instead of the more accurate approximation of weak screening…”
- 10,000 Standard Solar Models: A Monte Carlo Simulation (2005, methodology): “The references are listed in the last column and correspond to the following articles: (1) Park et al. (2003); (2) Junker (1998); (3) Adelberger et al. (1998); (4) Nara Singh et al. (2004); (5) Gruzinov & Bahcall (1997); (6) Junghans et al. (2003); (7) Formicola et al. (2004); (8) Runkle et al.…”