论文标题
从头算领先的弹性核子核散射有效效果
Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
论文作者
论文摘要
背景:用于计算弹性核子核素散射的显微镜有效相互作用(光势)已经导致了大量的工作。对于一阶计算,核子核子(\ textit {nn})相互作用和核的一体密度被视为对微观全折叠计算的严格计算的输入。 目的:基于多个散射系列的观众膨胀,我们采用手性在结构的同一基础上以及反应计算中的临近次临界序列(NNLO)核子 - 核子相互作用,以获得核子核弹性弹性的领先一致的有效潜在的有效潜在的有效潜在,其中包括触发靶核子的旋转靶核子的旋转。 方法:一阶有效折叠电势是通过首先得出非局部标量密度以及自旋预测的动量分布来计算的。然后将它们与脱壳沃尔芬斯坦振幅集成在一起,$ a $ a $,$ c $和$ m $。所得的非本地电位是对动量空间Lippmann-Schwinger方程的输入,其溶液的求和是获得核子核核散射可观察到的。 结果:我们计算$^4 $ HE,$^6 $ He,$^8 $ He,$^{12} $ C的弹性散射,以及在100至200 MeV弹丸动力学的能源方面的$^{16} $ O,并与可用数据相比。我们还探索延伸至约70 MeV,并研究忽略核中核子旋转的旋转的效果。 结论:在我们的计算中,我们将弹性散射从封闭壳和开壳核对比。我们发现,对于闭合壳核,忽略击中靶核的自旋的近似值非常好。当考虑$^6 $ HE和$^8 $ HE时,我们只会看到击中目标核的旋转效果,这是$ n/z $比率大于1的核。
Background: Calculating microscopic effective interactions (optical potentials) for elastic nucleon-nucleus scattering has already in the past led to a large body of work. For first-order calculations a nucleon-nucleon (\textit{NN}) interaction and a one-body density of the nucleus were taken as input to rigorous calculations of microscopic full-folding calculations. Purpose: Based on the spectator expansion of the multiple scattering series we employ a chiral next-to-next-to-leading order (NNLO) nucleon-nucleon interaction on the same footing in the structure as well as in the reaction calculation to obtain an in leading-order consistent effective potential for nucleon-nucleus elastic scattering, which includes the spin of the struck target nucleon. Methods: The first order effective folding potential is computed by first deriving a nonlocal scalar density as well as a spin-projected momentum distribution. Those are then integrated with the off-shell Wolfenstein amplitudes $A$, $C$, and $M$. The resulting nonlocal potential serves as input to a momentum-space Lippmann-Schwinger equation, whose solutions are summed to obtain the nucleon-nucleus scattering observables. Results: We calculate elastic scattering observables for $^4$He, $^6$He, $^8$He, $^{12}$C, and $^{16}$O in the energy regime between 100 and 200 MeV projectile kinetic energy, and compare to available data. We also explore the extension down to about 70 MeV, and study the effect of ignoring the spin of the struck nucleon in the nucleus. Conclusions: In our calculations we contrast elastic scattering off closed-shell and open-shell nuclei. We find that for closed-shell nuclei the approximation of ignoring the spin of the struck target nucleon is excellent. We only see effects of the spin of the struck target nucleon when considering $^6$He and $^8$He, which are nuclei with a $N/Z$ ratio larger than 1.