Bayesian analysis of the radiative capture reactions \(^3\mathrm {He}(\alpha ,\gamma )^7\mathrm {Be}\) and \(^3\mathrm {H}(\alpha ,\gamma )^7\mathrm {Li}\) are performed to draw inferences about the cross sections at threshold. We do a model comparison of two competing effective field theory power countings for the capture reactions. The two power countings differ in the contribution of two-body electromagnetic currents. In one power counting, two-body currents contribute at leading order, and in the other they contribute at higher orders. The former is favored for \(^3\mathrm {He}(\alpha ,\gamma )^7\mathrm {Be}\) if elastic scattering data in the incoming channel is considered in the analysis. Without constraints from elastic scattering data, both the power countings are equally favored. For \(^3\mathrm {H}(\alpha ,\gamma )^7\mathrm {Li}\), the first power counting with two-body current contributions at leading order is favored with or without constraints from elastic scattering data.

中文翻译：

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捕获反应的贝叶斯分析$$ \ varvec {^ 3} \ hbox {He} \ varvec {（\ alpha，\ gamma）^ 7} \ hbox {Be} $$ 3 He（α，γ）7 Be和$$ \ varvec {^ 3} \ hbox {H} \ varvec {（\ alpha，\ gamma）^ 7} \ hbox {Li} $$ 3 H（α，γ）7 Li

辐射捕获反应的贝叶斯分析\（^ 3 \ mathrm {He}（\ alpha，\ gamma）^ 7 \ mathrm {Be} \） 和\（^ 3 \ mathrm {H}（\ alpha，\ gamma）^执行7 \ mathrm {Li} \） 以得出关于阈值处的横截面的推论。我们对捕获反应的两个竞争有效场论功率计数进行了模型比较。两次功率计数在两体电磁电流的贡献上有所不同。在一次功率计数中，两体电流以超前阶贡献，而在另一场中，它们以高阶贡献。前者适合\（^ 3 \ mathrm {He}（\ alpha，\ gamma）^ 7 \ mathrm {Be} \） 分析中是否考虑了传入通道中的弹性散射数据。在没有弹性散射数据约束的情况下，两个功率计数同样受到青睐。对于\（^ 3 \ mathrm {H}（\ alpha，\ gamma）^ 7 \ mathrm {Li} \），在有或没有弹性散射数据约束的情况下，优先考虑具有领先主体的两体电流贡献的第一个功率计数。