Helioseismic and Neutrino Data Driven Reconstruction of Solar Properties

Abstract

In this work we use Bayesian inference to quantitatively reconstruct the solar properties most relevant to the solar composition problem using as inputs the information provided by helioseismic and solar neutrino data. In particular, we use a Gaussian process to model the functional shape of the opacity uncertainty to gain flexibility and become as free as possible from prejudice in this regard. With these tools we first readdress the statistical significance of the solar composition problem. Furthermore, starting from a composition unbiased set of standard solar models we are able to statistically select those with solar chemical composition and other solar inputs which better describe the helioseismic and neutrino observations. In particular, we are able to reconstruct the solar opacity profile in a data driven fashion, independently of any reference opacity tables, obtaining a 4% uncertainty at the base of the convective envelope and 0.8% at the solar core. When systematic uncertainties are included, results are 7.5% and 2% respectively. In addition we find that the values of most of the other inputs of the standard solar models required to better describe the helioseismic and neutrino data are in good agreement with those adopted as the standard priors, with the exception of the astrophysical factor $S_{11}$ and the microscopic diffusion rates, for which data suggests a 1% and 30% reduction respectively. As an output of the study we derive the corresponding data driven predictions for the solar neutrino fluxes.

17 pages, 10 figures, 6 tables

References in corpus (11)

• Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002--2007 data-taking period
• Solar neutrino measurements in Super-Kamiokande-II
• Helioseismology and Solar Abundances
• A new Generation of Standard Solar Models
• The elemental composition of the Sun II. The iron group elements Sc to Ni
• The elemental composition of the Sun I. The intermediate mass elements Na to Ca
• Nonparametric Dark Energy Reconstruction from Supernova Data
• Fresh insights on the structure of the solar core
• Nonparametric Reconstruction of the Dark Energy Equation of State
• CN-Cycle Solar Neutrinos and Sun's Primordial Core Metalicity
• Constraints on the opacity profile of the sun from helioseismic observables and solar neutrino flux measurements

Cited by in corpus (12)

• Solar structure and evolution
• The Future of Solar Neutrinos
• Solar models with convective overshoot, the solar-wind mass loss, and a PMS disk accretion: helioseismic quantities, Li depletion and neutrino fluxes
• Improved stellar limits on a light CP-even scalar
• On the hydrostatic stratification of the solar tachocline
• CNO Neutrino Grand Prix: The race to solve the solar metallicity problem
• Stellar limits on light CP-even scalar
• Standard solar models: a perspective from updated solar neutrino fluxes and the gravity-mode period spacing
• Helioseismic inference of the solar radiative opacity
• Generic energy transport solutions to the solar abundance problem -- a hint of new physics
• A $\nu$ look at the Sun: Probing the conditions of the solar core using ${}^8$B neutrinos
• Towards solar measurements of nuclear reaction rates