New Constraints on Sodium Production in Globular Clusters From the ${}^{23}$Na${(}^3$He$,\text{d}{)}^{24}$Mg Reaction

Abstract

The star to star anticorrelation of sodium and oxygen {is} a defining feature of globular clusters, but, to date, the astrophysical site responsible for this unique chemical signature remains unknown. Sodium enrichment within these clusters depends sensitively on reaction rate of the sodium destroying reactions ${}^{23}$Na$(p,\gamma )$ and ${}^{23}$Na$(p,\alpha )$. In this paper, we report the results of a ${}^{23}$Na${(}^3\text{He},d{)}^{24}$Mg transfer reaction carried out at Triangle Universities Nuclear Laboratory using a $21$ MeV ${}^3$He beam. Astrophysically relevant states {in ${}^{24}$Mg} between $11<E_x<12$ MeV were studied using high resolution magnetic spectroscopy, thereby allowing the extraction of excitation energies and spectroscopic factors. Bayesian methods are combined with the distorted wave Born approximation to assign statistically meaningful uncertainties to the extracted spectroscopic factors. For the first time, these uncertainties are propagated through to the estimation of proton partial widths. Our experimental data are used to calculate the reaction rate. The impact of the new rates are investigated using asymptotic giant branch star models. It is found that while the astrophysical conditions still dominate the total uncertainty, intra-model variations on sodium production from the ${}^{23}$Na$(p,\gamma )$ and ${}^{23}$Na$(p,\alpha )$ reaction channels are a lingering source of uncertainty.

arXiv commentarXiv admin note: substantial text overlap with arXiv:2103.08821

References in corpus (36)

• emcee: The MCMC Hammer
• The chemical composition of the Sun
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• Multiple populations in globular clusters. Lessons learned from the Milky Way globular clusters
• Updated stellar yields from Asymptotic Giant Branch models
• A Triple Main Sequence in the Globular Cluster NGC 2808
• The Dawes Review 2: Nucleosynthesis and stellar yields of low and intermediate-mass single stars
• Evolution, nucleosynthesis and yields of AGB stars at different metallicities (III): intermediate mass models, revised low mass models and the ph-FRUITY interface
• Stellar yields from metal-rich asymptotic giant branch models
• Stellar Models and Yields of Asymptotic Giant Branch Stars
• Stellar Turbulent Convection: A Selfconsistent Model
• Yields of AGB and SAGB models with chemistry of low- and high-metallicity Globular Clusters
• What is a globular cluster? An observational perspective
• The s process in asymptotic giant branch stars of low metallicity and the composition of carbon-enhanced metal-poor stars
• NuGrid stellar data set I. Stellar yields from H to Bi for stars with metallicities Z = 0.02 and Z = 0.01
• Low-temperature gas opacity - AESOPUS: a versatile and quick computational tool
• STARLIB: A Next-Generation Reaction-Rate Library for Nuclear Astrophysics
• Super and Massive AGB Stars: II - Nucleosynthesis and Yields - Z=0.02, 0.008 and 0.004
• Nucleosynthesis of light elements inside thermally pulsing AGB stars I: the case of intermediate-mass stars
• Evolution and nucleosynthesis of asymptotic giant branch stellar models of low metallicity
• Charged-Particle Thermonuclear Reaction Rates: I. Monte Carlo Method and Statistical Distributions
• Charged-Particle Thermonuclear Reaction Rates: III. Nuclear Physics Input
• A General Abundance Problem for All Self-Enrichment Scenarios for the Origin of Multiple Populations in Globular Clusters
• Mass loss on the red giant branch: the value and metallicity dependence of Reimers' η in globular clusters
• Helium enrichment and Carbon-star Production in Metal-rich Populations
• Heavy-element yields and abundances of Asymptotic Giant Branch models with a Small Magellanic Cloud metallicity
• Reaction rate uncertainties and the operation of the NeNa and MgAl chains during HBB in intermediate-mass AGB stars
• Revisiting nucleosynthesis in globular clusters: the case of NGC 2808 and the role of He and K
• ${}^{22}$Ne and ${}^{23}$Na ejecta from intermediate-mass stars: The impact of the new LUNA rate for ${}^{22}$Ne(p,$\gamma$)${}^{23}$Na
• Modeling lithium rich carbon stars in the Large Magellanic Cloud: an independent distance indicator ?
• The most metal-rich stars in the universe: chemical contributions of low and intermediate mass asymptotic giant branch stars with metallicities between $0.04\le Z\le \mathrm{0.10.}$
• Single-particle shell strengths near the doubly magic nucleus ${}^{56}$Ni and the ${}^{56}$Ni(p,$\gamma$)${}^{57}$Cu reaction rate in explosive astrophysical burning
• Thermonuclear reaction rate of ${}^{18}$Ne($\alpha$,$p$)${}^{21}$Na from Monte-Carlo calculations
• The most metal-rich asymptotic giant branch stars
• Bridging the Gap between Intermediate and Massive Stars I: Validation of MESA against the State-of-the-Art Monash Stellar Evolution Program for a 2$M_{\odot }$ AGB Star
• Bayesian Analysis of the ${}^{70}$Zn$(d{,}^3\text{He}{)}^{69}$Cu Transfer Reaction

Cited by in corpus (2)

• Bayesian Analysis of the ${}^{86}$Sr$(\alpha ,\alpha )$ Reaction to Constrain the ${}^{86}$Sr$(\alpha ,n)$ Cross Section at Astrophysical Energies
• The 2025 Evaluation of Experimental Thermonuclear Reaction Rates (ETR25)