论文标题

光核中弱转变的手性有效场理论计算

Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei

论文作者

King, G. B., Andreoli, L., Pastore, S., Piarulli, M., Schiavilla, R., Wiringa, R. B., Carlson, J., Gandolfi, S.

论文摘要

我们根据诺福克的两种和三核手性相互作用以及相关的一体和两体轴向电流报告了$ a \ leq 10 $ nuclei的弱转变计算的量子蒙特卡洛计算。我们发现,两体电流的贡献为$ 2 $ - $ 3 \%$级别,除了矩阵元素输入$^8 $ li,$^8 $ b和$^8 $ beta衰减的价格外。这些矩阵元素仅基于(领先的)游戏柜员过渡算子来抑制脉冲近似。两体电流提供$ 20 $ - $ 30 \%$校正,但是,不足以使理论与实验数据一致。对于其他过渡,与数据的一致性令人满意,并且当利用诺福克相互作用的不同组合来构建核波函数时,结果表现出可忽略的对温和模型的依赖性。我们报告了对两体弱过渡密度的完整研究,该研究揭示了整个$ a \,$ = $ \,3 $ to $ a \ a \ $ = $ = $ \,在此处考虑的10 $系统的预期两体电流的预期普遍行为。

We report Quantum Monte Carlo calculations of weak transitions in $A\leq 10$ nuclei, based on the Norfolk two- and three-nucleon chiral interactions, and associated one- and two-body axial currents. We find that the contribution from two-body currents is at the $2$ - $3\%$ level, with the exception of matrix elements entering the rates of $^8$Li, $^8$B, and $^8$He beta decays. These matrix elements are suppressed in impulse approximation based on the (leading order) Gamow Teller transition operator alone; two-body currents provide a $20$ - $30\%$ correction, which is, however, insufficient to bring theory in agreement with experimental data. For the other transitions, the agreement with the data is satisfactory, and the results exhibit a negligible to mild model dependence when different combinations of Norfolk interactions are utilized to construct the nuclear wave functions. We report a complete study of two-body weak transition densities which reveals the expected universal behavior of two-body currents at short distances throughout the range of $A\,$=$\,3$ to $A\,$=$\,10$ systems considered here.

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