10,000 Standard Solar Models: a Monte Carlo Simulation

Abstract

We have evolved 10,000 solar models using 21 input parameters that are randomly drawn for each model from separate probability distributions for every parameter. We use the results of these models to determine the theoretical uncertainties in the predicted surface helium abundance, the profile of the sound speed versus radius, the profile of the density versus radius, the depth of the solar convective zone, the eight principal solar neutrino fluxes, and the fractions of nuclear reactions that occur in the CNO cycle or in the three branches of the p-p chains. We also determine the correlation coefficients of the neutrino fluxes for use in analysis of solar neutrino oscillations. Our calculations include the most accurate available input parameters, including radiative opacity, equation of state, and nuclear cross sections. We incorporate both the recently determined heavy element abundances recommended by Asplund, Grevesse & Sauval (2005) and the older (higher) heavy element abundances recommended by Grevesse & Sauval (1998). We present best-estimates of many characteristics of the standard solar model for both sets of recommended heavy element compositions.

** John N. Bahcall passed away on August 17, 2005. Manuscript has 60 pages including 10 figures

References in corpus (51)

• Low Temperature Opacities
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• The 'Forbidden' Abundance of Oxygen in the Sun
• Solar Models: current epoch and time dependences, neutrinos, and helioseismological properties
• Solar Models with Helium and Heavy Element Diffusion
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Line formation in solar granulation: IV. [O I], OI and OH lines and the photospheric O abundance
• Determination of Solar Neutrino Oscillation Parameters using 1496 Days of Super-Kamiokande-I Data
• New solar opacities, abundances, helioseismology, and neutrino fluxes
• Solar Fusion Cross Sections
• Element Diffusion in the Solar Interior
• A Reappraisal of the Solar Photospheric C/O Ratio
• Measurement of the Solar Neutrino Capture Rate by the Russian-American Gallium Solar Neutrino Experiment During One Half of the 22-Year Cycle of Solar Activity
• Complete results for five years of GNO solar neutrino observations
• Up-dated opacities from the Opacity Project
• What do we (not) know theoretically about solar neutrino fluxes?
• Getting the most from the statistical analysis of solar neutrino oscillations
• Helioseismological Implications of Recent Solar Abundance Determinations
• Science and Technology of BOREXINO: A Real Time Detector for Low Energy Solar Neutrinos SOLAR NEUTRINOS
• Constraining solar abundances using helioseismology
• Gallium Solar Neutrino Experiments: Absorption Cross sections, Neutrino spectra, and Predicted Event Rates
• Solar neutrinos as probes of neutrino-matter interactions
• Spectroscopy of Double-Beta and Inverse-Beta Decays from 100Mo for Neutrinos
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Are Standard Solar Models Reliable?
• Surprising Sun
• How much do helioseismological inferences depend upon the assumed reference model?
• New Solar Seismic Models and the Neutrino Puzzle
• A New Precision Measurement of the 3He(4He,gamma)7Be Cross section
• Solar Neutrinos Before and After Neutrino 2004
• What Is The Neon Abundance Of The Sun?
• Precise measurement of the ^7Be(p,gamma)^8B S-factor
• The discrepancy between solar abundances and helioseismology
• The Cross Section of 3He(3He,2p)4He measured at Solar Energies
• Can Enhanced Diffusion Improve Helioseismic Agreement for Solar Models with Revised Abundances?
• Effects of errors in the solar radius on helioseismic inferences
• Direct measurement of the 14N(p,g)15O S-factor
• A comparison of Rosseland-mean opacities from OP and OPAL
• How do Uncertainties in the Surface Chemical Abundances of the Sun Affect the Predicted Solar Neutrino Fluxes?
• How Accurately Can We Calculate the Depth of the Solar Convective Zone?
• The luminosity constraint on solar neutrino fluxes
• The ${}^7$Be Solar Neutrino Line: A Reflection of the Central Temperature Distribution of the Sun
• On the choice of parameters in solar structure inversion
• Neutrino Detection With CLEAN
• Cosmogenic 11C production and sensitivity of organic scintillator detectors to pep and CNO neutrinos
• Our Sun. IV. The Standard Model and Helioseismology: Consequences of Uncertainties in Input Physics and in Observed Solar Parameters
• The Be-7 Electron Capture Rate in the Sun
• Solar Neutrino Measurements
• Age-luminosity relations for low-mass metal-poor stars
• Correlations of Solar Neutrino Observables for SNO

Cited by in corpus (147)

• MESA Isochrones and Stellar Tracks (MIST). I: Solar-Scaled Models
• New constraints on the chemical evolution of the solar neighbourhood and Galactic disc(s). Improved astrophysical parameters for the Geneva-Copenhagen Survey
• Solar fusion cross sections II: the pp chain and CNO cycles
• Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002--2007 data-taking period
• Precision measurement of the 7Be solar neutrino interaction rate in Borexino
• Helioseismology and Solar Abundances
• Scaled solar tracks and isochrones in a large region of the Z-Y plane I. From the ZAMS to the TP-AGB end for 0.15 - 2.5 Mo stars
• Quantifying the uncertainties of chemical evolution studies. II. Stellar yields
• New results on solar neutrino fluxes from 192 days of Borexino data
• A new Generation of Standard Solar Models
• New Solar Composition: The Problem With Solar Models Revisited
• Independent Measurement of the Total Active 8B Solar Neutrino Flux Using an Array of 3He Proportional Counters at the Sudbury Neutrino Observatory
• Solar Neutrino Measurements in Super-Kamiokande-IV
• Measurement of the solar 8B neutrino rate with a liquid scintillator target and 3 MeV energy threshold in the Borexino detector
• Final results of Borexino Phase-I on low energy solar neutrino spectroscopy
• Solar models with accretion. I. Application to the solar abundance problem
• Accurate fundamental parameters for Lower Main Sequence Stars
• Fresh insights on the structure of the solar core
• Global Seismology of the Sun
• Asteroseismology and Interferometry
• Theia: An advanced optical neutrino detector
• Determination of stellar radii from asteroseismic Data
• Do f(R) theories matter?
• The SNO+ Experiment
• The Helium abundance and Delta Y / Delta Z in Lower Main Sequence stars
• Short-Baseline Active-Sterile Neutrino Oscillations?
• CN-Cycle Solar Neutrinos and Sun's Primordial Core Metalicity
• Testing alternative theories of gravity using the Sun
• Solar structure and evolution
• Letter of Intent: Jinping Neutrino Experiment
• The chemical composition of the Sun from helioseismic and solar neutrino data
• Exploring mass loss, low-Z accretion, and convective overshoot in solar models to mitigate the solar abundance problem
• Pseudo-Dirac Neutrinos in the New Standard Model
• Lorentz- and CPT-violating models for neutrino oscillations
• Probing non-standard neutrino-electron interactions with solar and reactor neutrinos
• Effect of low mass dark matter particles on the Sun
• Evaluation of Modern 3He(alpha,gamma)7Be Data
• Precision study of ground state capture in the 14N(p,gamma)15O reaction
• Solar abundances and helioseismology: fine structure spacings and separation ratios of low-degree p modes
• Astrophysical turbulence modeling
• Determining the initial helium abundance of the Sun
• Synthetic Stellar Photometry - II. Testing the bolometric flux scale, and tables of bolometric corrections for the Hipparcos/Tycho, Pan-STARRS1, SkyMapper and JWST systems
• Nuclear-Astrophysics Lessons from INTEGRAL
• Asteroseismic estimate of helium abundance of a solar analog binary system
• Solar neutrinos, helioseismology and the solar internal dynamics
• Nuclear astrophysics: the unfinished quest for the origin of the elements
• Neutrino Physics with Dark Matter Experiments and the Signature of New Baryonic Neutral Currents
• Solar heavy element abundance: constraints from frequency separation ratios of low-degree p modes
• Dirac and Majorana neutrino signatures of primordial black holes
• A Search for Neutrinos from the Solar hep Reaction and the Diffuse Supernova Neutrino Background with the Sudbury Neutrino Observatory
• Activation measurement of the 3He(a,g)7Be reaction cross section at high energies
• The Future of Solar Neutrinos
• Alive and well: a short review about standard solar models
• Solar neutrino probes of the muon anomalous magnetic moment in the gauged $U(1{)}_{L_{\mu }-L_{\tau }}$
• Spitzer reveals what's behind Orion's Bar
• New Results on Standard Solar Models
• Using the Standard Solar Model to Constrain Composition and S-Factors
• Another forbidden solar oxygen abundance: the [O I] 5577 A line
• Quantifying uncertainties in the solar axion flux and their impact on determining axion model parameters
• New limits on heavy sterile neutrino mixing in ${}^8\mathrm{B}$-decay obtained with the Borexino detector
• Stellar models with the ML2 theory of convection
• Resonance strengths in the 14N(p, γ)15O and 15N(p, αγ)12C reactions
• Improved stellar limits on a light CP-even scalar
• Probing neutrino magnetic moment and unparticle interactions with Borexino
• Thermal conduction by dark matter with velocity and momentum-dependent cross-sections
• Generalised form factor dark matter in the Sun
• Spitzer Observations of M83 and the Hot Star, H II Region Connection
• Investigating surface correction relations for RGB stars
• A Direct Detection View of the Neutrino NSI Landscape
• Cosmic nucleosynthesis: a multi-messenger challenge
• Grids of stellar evolution models for asteroseismology (CESAM + POSC)
• Modeling the Asteroseismic Surface Term across the HR Diagram
• Modeling Convective Core Overshoot and Diffusion in Procyon Constrained by Asteroseismic Data
• Solar Models with Revised Abundance
• The puzzle of metallicity and multiple stellar populations in the Globular Clusters in Fornax
• Solar neutrino physics
• Evidence of a signature of planet formation processes from solar neutrino fluxes
• Nuclear processes in Astrophysics: Recent progress
• Effect of electromagnetic dipole dark matter on energy transport in the solar interior
• New proton-capture rates on carbon isotopes and their impact on the astrophysical ${}^{12}\mathrm{C}/{}^{13}\mathrm{C}$ ratio
• On the impact of the structural surface effect on global stellar properties and asteroseismic analyses
• CNO Neutrino Grand Prix: The race to solve the solar metallicity problem
• Solar Neutrino Spectroscopy
• Limits on CPT violation from solar neutrinos
• Search for $hep$ solar neutrinos and the diffuse supernova neutrino background using all three phases of the Sudbury Neutrino Observatory
• Constraints on Decaying Sterile Neutrinos from Solar Antineutrinos
• Non-Standard Models, Solar Neutrinos, and Large θ_{13}
• Updated constraints on velocity and momentum-dependent asymmetric dark matter
• Borexino results on neutrinos from the Sun and Earth
• Sensitivity of a low threshold directional detector to CNO-cycle solar neutrinos
• A search for evidence of solar rotation in Super-Kamiokande solar neutrino dataset
• The effects of a revised ${}^7$Be e${}^{-}$-capture rate on solar neutrino fluxes
• The Sun as a fundamental calibrator of stellar evolution
• Solar models with new low-metal abundances
• Potential for Precision Measurement of Solar Neutrino Luminosity by HERON
• Neutrino flavor oscillations in a rotating spacetime
• Estimating the flux of the 14.4 keV solar axions
• The impact of composition choices on solar evolution: age, helio- and asteroseismology, and neutrinos
• Light bosons and photospheric solutions to the solar abundance problem
• An Expanded Set of Los Alamos OPLIB Tables in MESA: Type-1 Rosseland-mean Opacities and Solar Models
• Constraining the ${}^7$Be($p,\gamma$)${}^8$B $S$-factor with the new precise ${}^7$Be solar neutrino flux from Borexino
• Projected WIMP sensitivity of the CDEX-50 dark matter experiment
• Helioseismic and Neutrino Data Driven Reconstruction of Solar Properties
• Selected topics in the evolution of low-mass stars
• Magneto-convective models of red dwarfs: constraints imposed by the lithium abundance
• New Limits on Thermally annihilating Dark Matter from Neutrino Telescopes
• The solar abundance problem: the effect of the turbulent kinetic flux on the solar envelope model
• Astrophysics in 2006
• Stellar cooling limits on light scalar boson revisited
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Standard solar models: a perspective from updated solar neutrino fluxes and the gravity-mode period spacing
• Solar chameleons: Novel channels
• Search for modulations of the solar Be-7 flux in the next-generation neutrino observatory LENA
• Bayesian inference of stellar parameters based on 1D stellar models coupled with 3D envelopes
• A comparison of frequentist and Bayesian inference: Searching for low-frequency p modes and g modes in Sun-as-a-star data
• Two-Dimensional Stellar Evolution Code Including Arbitrary Magnetic Fields. II. Precision Improvement and Inclusion of Turbulence and Rotation
• Lifetime measurements of excited states in ${}^{15}$O
• The luminosity constraint in the era of precision solar physics
• SNO+: predictions from standard solar models and spin flavour precession
• The Sun: Light Dark Matter and Sterile Neutrinos
• Solar luminosity bounds on mirror matter
• Long-Lived Particles and the Quiet Sun
• Consistency of $f(R)$ gravity models around solar polytropes
• A Semi-Analytical Computation of the Theoretical Uncertainties of the Solar Neutrino Flux
• Probing neutrino magnetic moment at the Jinping neutrino experiment
• Axion spectra and the associated x-ray spectra of low-mass stars
• Linking solar bosonic dark matter halos and active neutrinos
• Asteroseismically Inferred Ages of 132,000 Red Giants with TESS
• Revisiting astrophysical bounds on continuous spontaneous localization models
• Quasi-Dirac neutrinos and solar neutrino data
• Phenomenology of neutrino mixing in vacuum and matter
• On the Scales of Masses in Elementary Particles
• Three-body calculation of the rate of reaction $p+p+e\to d+{\nu }_e$ in the Sun
• Current Issues in Asteroseismology
• Neutrinos from stars in the Milky Way
• Towards First Detection of the Solar MSW Transition With JUNO
• CN Neutrinos and the Sun's Primordial Core Metalicity
• Progress in global helioseismology: a new light on the solar modelling problem and its implications for solar-like stars
• Constraints on the Axion-Photon Coupling Using Stellar Modelling
• Unambiguously Resolving the Potential Neutrino Magnetic Moment Signal at Large Liquid Scintillator Detectors
• Spectroscopy of Solar Neutrinos
• Neutrino NSI in archaeological Pb
• Thermomagnetic Ettingshausen-Nernst effect in tachocline, magnetic reconnection phenomenon in lower layers, axion mechanism of solar luminosity variations, coronal heating problem solution and mechanism of ADM variations around BH
• Exploring nonstandard quark interactions through solar neutrino studies
• On the Mass Eigenstate Composition of the 8B Neutrinos from the Sun
• The estimation of neutrino flux produced by $\mathbf{pep}$ reactions in the Sun
• Challenge to Anomalous Phenomena in Solar Neutrino