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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2507.02095 |
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| _version_ | 1866913923647668224 |
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| author | Song, Kaixin Longland, Richard Marshall, Caleb Setoodehnia, Kiana Chaves, Federico Portillo Fraud, Axel |
| author_facet | Song, Kaixin Longland, Richard Marshall, Caleb Setoodehnia, Kiana Chaves, Federico Portillo Fraud, Axel |
| contents | The cross section of the $^{23}\text{Na}(p,γ)^{24}\text{Mg}$ reaction is dominated by direct capture at low energies relevant for stellar burning. Such cross sections can be constrained using spectroscopic factors($C^2S$) or asymptotic normalization coefficients(ANCs) from transfer reactions. In this work, the $^{23}\text{Na}(^3\text{He},d)^{24}\text{Mg}$ reaction was measured at $E_{lab}=21$ MeV to extract spectroscopic factors for $^{24}\text{Mg}$ states with excitation energies in $E_x=7\sim12~$MeV using the Enge split-pole spectrograph at the Triangle Universities Nuclear Laboratory. A new non-resonant astrophysical S factor and the direct capture reaction rate for the $^{23}\text{Na}(p,γ)$ reaction are calculated and presented based on this measurement. The new rate at $T<0.04$ GK is 43$\%$ smaller than in previous studies. Rigorous treatments of uncertainties are presented using a Bayesian Markov Chain Monte Carlo (MCMC) method. Sources of uncertainties for computing the direct capture cross section are also discussed in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Indirect Measurement of the $^{23}\textbf{Na}(p,γ)^{24}$Mg Direct Capture Reaction Rate via ($^3$He,d) Spectroscopy Song, Kaixin Longland, Richard Marshall, Caleb Setoodehnia, Kiana Chaves, Federico Portillo Fraud, Axel Nuclear Experiment The cross section of the $^{23}\text{Na}(p,γ)^{24}\text{Mg}$ reaction is dominated by direct capture at low energies relevant for stellar burning. Such cross sections can be constrained using spectroscopic factors($C^2S$) or asymptotic normalization coefficients(ANCs) from transfer reactions. In this work, the $^{23}\text{Na}(^3\text{He},d)^{24}\text{Mg}$ reaction was measured at $E_{lab}=21$ MeV to extract spectroscopic factors for $^{24}\text{Mg}$ states with excitation energies in $E_x=7\sim12~$MeV using the Enge split-pole spectrograph at the Triangle Universities Nuclear Laboratory. A new non-resonant astrophysical S factor and the direct capture reaction rate for the $^{23}\text{Na}(p,γ)$ reaction are calculated and presented based on this measurement. The new rate at $T<0.04$ GK is 43$\%$ smaller than in previous studies. Rigorous treatments of uncertainties are presented using a Bayesian Markov Chain Monte Carlo (MCMC) method. Sources of uncertainties for computing the direct capture cross section are also discussed in detail. |
| title | Indirect Measurement of the $^{23}\textbf{Na}(p,γ)^{24}$Mg Direct Capture Reaction Rate via ($^3$He,d) Spectroscopy |
| topic | Nuclear Experiment |
| url | https://arxiv.org/abs/2507.02095 |