晕有效场论中Li-11和C-22的首阶性质
Properties of Lithium-11 and Carbon-22 at leading order in halo effective field theory
摘要：
本文在Halo有效场论（Halo EFT）中研究了首级（LO）的$^{11}\mathrm{Li}$和$^{22}\mathrm{C}$核.利用文献[1]中导出的$^{22}\mathrm{C}$均方根物质半径值作为LO计算的输入，我们同时约束了$^{22}\mathrm{C}$的两中子（2 $n$）分离能和$^{20}\mathrm{C}-$中子系统（以下记为$^{21}$ C）的虚态能量。输入均方根物质半径数据的1 $-σ$不确定性，以及根据Halo EFT展开中高阶项的预期大小估计的理论误差，给出了2 $n$分离能量的上限约为100 keV。我们还研究了Halo EFT中2个$n$晕核的电偶极激发到两个中子的连续态和LO处的核。我们首先比较我们的结果与$^{11}\mathrm{Li}$数据从库仑解离实验，并获得良好的协议内的LO计算的理论不确定性。然后我们得到了在几种不同的$^{22}\mathrm{C}$的2-$n$分离能和$^{21}\mathrm{C}$的虚态能量值下，该跃迁的$B(E1)$的低能谱.我们的预测可以进行比较的结果进行中的库仑离解的$^{22}\mathrm{C}$的实验，以获得更严格的限制在$^{22}\mathrm{C}$系统中的两体和三体能量。
英文摘要：
We study the $^{11}\mathrm{Li}$ and $^{22}\mathrm{C}$ nuclei at leading order (LO) in halo effective field theory (Halo EFT). Using the value of the $^{22}\mathrm{C}$ rms matter radius deduced in Ref. [1] as an input in a LO calculation, we simultaneously constrained the values of the two-neutron (2$n$) separation energy of $^{22}\mathrm{C}$ and the virtual-state energy of the $^{20}\mathrm{C}-$neutron system (hereafter denoted $^{21}$C). The 1$-σ$ uncertainty of the input rms matter radius datum, along with the theory error estimated from the anticipated size of the higher-order terms in the Halo EFT expansion, gave an upper bound of about 100 keV for the 2$n$ separation energy. We also study the electric dipole excitation of 2$n$ halo nuclei to a continuum state of two neutrons and the core at LO in Halo EFT. We first compare our results with the $^{11}\mathrm{Li}$ data from a Coulomb dissociation experiment and obtain good agreement within the theoretical uncertainty of a LO calculation. We then obtain the low-energy spectrum of $B(E1)$ of this transition at several different values of the 2$n$ separation energy of $^{22}\mathrm{C}$ and the virtual-state energy of $^{21}\mathrm{C}$. Our predictions can be compared to the outcome of an ongoing experiment on the Coulomb dissociation of $^{22}\mathrm{C}$ to obtain tighter constraints on the two- and three-body energies in the $^{22}\mathrm{C}$ system.
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