$(n,γ)$反应的$(d,p)$替代方法中的非局部相互作用
Non-local interactions in the $(d,p)$ surrogate method for $(n,γ)$ reactions
摘要：
单中子转移反应在连续介质中占据态对于结构和天体物理都是有趣的。在它们的描述中，通常使用全局光学势来描述核子-靶相互作用，并且这些相互作用通常是局部的。在我们的工作中，我们研究了非定域性在填充连续态的$(d,p)$反应中的影响。这个工作类似于[1]，但现在转移到连续统。在文献[2]中探讨了计算包含过程$A (d,p) X$截面的理论。其中，局域光学势被用来描述核子-靶的有效相互作用。本工作的目的是扩展[2]中的理论，研究在有效相互作用中包含非定域性对相关反应观测量的影响。我们用R矩阵方法求解了核子波函数和传播子的非定域方程。然后，我们应用该方法系统地研究了10，20和50 MeV的$(d,p)$对$^{16}$ O，$^{40}$ Ca，$^{48}$ Ca和$^{208}$ Pb的包容过程。我们比较了非局部相互作用时所得到的结果与局部等效相互作用时所得到的结果。我们发现非局部性以复杂的方式影响模型的不同部分。取决于束能量和目标，非弹性分裂可以增加或减少。虽然每个最终自旋状态的非弹性转移截面可以发生相当大的变化，但模型[2]的主要预测，即自旋分布的形状，在很大程度上不受非局域性的影响。[1]L. J. Titus和F. M.努内斯测试佩里效应。Phys. Rev. C，89：034609，2014年3月。[2]G. Potel，F. M.努涅斯和我。J·汤普森建立一个氘核诱导的替代反应理论。Phys. Rev. C，92：034611，2015年9月。
英文摘要：
Single-neutron transfer reactions populating states in the continuum are interesting both for structure and astrophysics. In their description often global optical potentials are used for the nucleon-target interactions, and these interactions are typically local. In our work, we study the effects of nonlocality in $(d,p)$ reactions populating continuum states. This work is similar to that of [1] but now for transfer to the continuum. A theory for computing cross sections for inclusive processes $A (d,p) X$ was explored in [2]. Therein, local optical potentials were used to describe the nucleon-target effective interaction. The goal of the present work is to extend the theory developed in [2] to investigate the effects of including nonlocality in the effective interaction on the relevant reaction observables. We implement the R--matrix method to solve the non--local equations both for the nucleon wavefunctions and the propagator. We then apply the method to systematically study the inclusive process of $(d,p)$ on $^{16}$O, $^{40}$Ca, $^{48}$Ca and $^{208}$Pb at 10, 20 and 50 MeV. We compare the results obtained when non--local interactions are used with those obtained when local equivalent interactions are included. We find that nonlocality affects different pieces of the model in complex ways. Depending on the beam energy and the target, the non-elastic breakup can either increase or decrease. While the non-elastic transfer cross section for each final spin state can change considerably, the main prediction of the model [2], namely the shape of the spin distributions, remains largely unaltered by nonlocality. [1] L. J. Titus and F. M. Nunes. Testing the Perey effect. Phys. Rev. C, 89:034609, Mar 2014. [2] G. Potel, F. M. Nunes, and I. J. Thompson. Establishing a theory for deuteron-induced surrogate reactions. Phys. Rev. C, 92:034611, Sep 2015.
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