The purpose of this paper is to develop an alternative theory of deuteron stripping to resonance states based on the surface integral formalism of Kadyrov et al. [Ann. Phys. 324, 1516 (2009)] and continuum-discretized coupled channels (CDCC).
First we demonstrate how the surface integral formalism works in the three-body model and then we consider a more realistic problem in which a composite structure of target nuclei is taken via optical potentials. We explore different choices of channel wave functions and transition operators and show that a conventional CDCC volume matrix element can be written in terms of a surface-integral matrix element, which is peripheral, and an auxiliary matrix element, which determines the contribution of the nuclear interior over the variable $r_{nA}$. This auxiliary matrix element appears due to the inconsistency in treating of the $n-A$ potential: this potential should be real in the final state to support bound states or resonance scattering and complex in the initial state to describe $n-A$ scattering. Our main result is formulation of the theory of the stripping to resonance states using the prior form of the surface integral formalism and CDCC method. It is demonstrated that the conventional CDCC volume matrix element coincides with the surface matrix element, which converges for the stripping to the resonance state. Also the surface representation (over the variable $r_{nA}$ of the stripping matrix element enhances the peripheral part of the amplitude although the internal contribution doesn't disappear and increases with increase of the deuteron energy. We present calculations corroborating our findings for both stripping to the bound state and the resonance.
A Comment on General Formulae for Polarization Observables in Deuteron Electrodisintegration and Linear Relations
我们建立了Arenhövel，Leidemann，and Tomusiak在Few-Body Systems { \bf 15}，109（1993）中发表的用于处理氘核两体电蜕变中极化观测量的形式主义和本论文作者在Phys.~修订版~ C { \bf 40}，2479（1989）.我们对两组结果之间的重叠进行评论。
Rescattering and finite formation time effects in inclusive and exclusive electro-disintegration of nuclei within a relativistic approach: 1. The deuteron
Tensor-polarized structure functions: Tensor structure of deuteron in 2020's
我们解释了自旋为1的强子的自旋结构，其中有新的结构函数，除了那些（$F_1$，$F_2$，$g_1$，$g_2$）存在于自旋为1/2的核子，与它的张量结构。在带电轻子与自旋为1的强子（如氘核）的深度非弹性散射中，新的结构函数是$b_1$、$b_2$、$b_3$和$b_4$。其中，扭二函数在Bjorken标度极限下由Callan-Gross型关系$b_2 = 2 x b_1$联系起来。首先，引入了这些新的结构函数，并导出了从强子张量$W_{μν}$到$b_{1-4}$的投影算符的实用公式。其次，一个总和规则解释为$b_1$，并可能张量极化分布进行了讨论，通过使用HERMES数据，以提出未来的实验测量，并将它们与理论模型进行比较。一项在托马斯·杰斐逊国家加速器设施（JLab）测量$b_1$的提案获得批准，因此预计在不久的将来$b_1$将取得很大进展。第三，极化质子-氘核Drell-Yan过程的形式主义被解释为探测特别是张量极化反夸克分布，这是由HERMES数据建议。张量极化结构函数的研究将在2020年代为用夸克和胶子自由度研究张量结构开辟一个新的纪元，这与通常用核子和介子描述张量结构有很大不同。
Resolving the structure of bound states using lattice quantum field theories
University of Maryland（马里兰大学）；University of North Carolina, Chapel Hill（北卡罗来纳大学教堂山分校）；University of California, Berkeley（加州大学伯克利分校）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）；William & Mary（威廉与玛丽学院）
