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arXiv 1907.01587nucl-th
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氘-α散射:可分与不可分的Faddeev方法

Deuteron-alpha scattering: separable vs nonseparable Faddeev approach

L. Hlophe, Jin Lei, Ch. Elster, A. Nogga, F. M. Nunes, D. Jurčiukonis, A. Deltuva

摘要:

{ \bf Background}氘核诱导反应广泛用于探测原子核结构和天体物理信息。这些(d,p)反应可以看作是三体反应,并用Faddeev技术描述。{ \bf目的}动量空间中的Faddeev-AGS方程具有利用可分离相互作用以得到一个变量中的耦合积分方程组的悠久传统。然而,需要证明的是,基于可分相互作用计算的观测值与基于不可分力计算的观测值完全一致。{ \bf方法}将可分离力和不可分离力作为耦合积分方程求解动量空间AGS方程。{ \bf Results}使用CD-Bonn中子-质子力和Woods-Saxon型中子(质子)- $^4$ He力,通过动量空间AGS方程计算了氘-α散射,其中Pauli禁戒S波束缚态被投影出来。弹性以及分裂观测值的计算和比较的结果,其中在两体子系统中的相互作用表示的Ernst-Shakin-Thaler(EST)框架中派生的可分离的相互作用。{ \bf结论}我们发现基于相互作用的可分离表示和原始相互作用的计算结果非常一致。具体来说,弹性散射的积分横截面和角分布在$\approx$ 1\%范围内一致,远低于典型的实验误差。此外,对应于氘核分裂的五重微分截面也非常吻合。

英文摘要:

{\bf Background} Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques. {\bf Purpose} Faddeev-AGS equations in momentum space have a long tradition of utilizing separable interactions in order to arrive at sets of coupled integral equations in one variable. However, it needs to be demonstrated that observables calculated based on separable interactions agree exactly with those based on nonseparable forces. {\bf Methods} Momentum space AGS equations are solved with separable and nonseparable forces as coupled integral equations. {\bf Results} Deuteron-alpha scattering is calculated via momentum space AGS equations using the CD-Bonn neutron-proton force and a Woods-Saxon type neutron(proton)-$^4$He force, for which the Pauli-forbidden S-wave bound state is projected out. Elastic as well as breakup observables are calculated and compared to results in which the interactions in the two-body sub-systems are represented by separable interactions derived in the Ernst-Shakin-Thaler (EST) framework. {\bf Conclusions} We find that the calculations based on the separable representation of the interactions and the original interactions give results that are in excellent agreement. Specifically, integrated cross sections and angular distributions for elastic scattering agree within $\approx$ 1\%, which is well below typical experimental errors. In addition, the five-fold differential cross sections corresponding to breakup of the deuteron agree extremely well.

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