arXiv 2112.024422021-12-04nucl-thnucl-ex

具有手征有效场论不确定性的从头算核子-核弹性散射

Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties

R. B. Baker, B. McClung, Ch. Elster, P. Maris, S. P. Weppner, M. Burrows, G. Popa

备注：: 17 pages, 13 figures, 1 table
DOI：: 10.1103/PhysRevC.106.064605

摘要：

背景资料：从第一性原理出发，研究核子-核（$NA$）弹性散射的有效相互作用，需要在结构和反应计算中使用相同的核子-核子（$NN$）相互作用，并对各阶相关算符进行一致的处理。目的：本文研究了手征$NN$力的截断不确定度，用于研究少体系统的散射观测量和轻核的束缚态性质。我们将其推广到$NA$弹性散射。研究方法：利用多重散射理论的旁观者展开和无核壳模型，我们使用LENPIC合作组的手征相互作用一致地计算了首阶有效$NA$相互作用，直到第三手征阶（N2 LO），并提取了弹性散射观测值.我们量化的手征截断误差，使用逐点和相关的方法。结果：我们分析了质子- $^{16}$ O和中子- $^{12}$ C弹性散射观测值之间的65和185 MeV的弹丸动能。我们发现定性相似的结果手性截断的不确定性，在少体系统，我们使用类似的诊断工具进行评估。$^{16}$ O和$^{12}$ C的散射观测量的逐阶收敛在100 MeV附近是合理的，但是对于更高的能量，展开参数变得太大而不能收敛。我们发现中子微分截面和$NN$ Wolfenstein振幅之间的小动量转移一个近乎完美的相关性。结论：用于研究手征$NN$相互作用在少体系统中的收敛性的工具可以应用于$NA$散射，只需做微小的改变。这里使用的$NN$相互作用给出了一个很好的描述$^{16}$ O和$^{12}$ C散射观测值低至65 MeV。中子微分截面的正向非常好地反映了$NN$相互作用的行为。

英文摘要：

Background: Effective interactions for nucleon-nucleus ($NA$) elastic scattering from first principles require the use of the same nucleon-nucleon ($NN$) interaction in the structure and reaction calculations, and a consistent treatment of the relevant operators at each order. Purpose: Truncation uncertainties of chiral $NN$ forces have been studied for scattering observables in few-body systems and for bound state properties of light nuclei. We extend this to $NA$ elastic scattering. Methods: With the spectator expansion of multiple scattering theory and the no-core shell model, we use a chiral interaction from the LENPIC collaboration to consistently calculate the leading order effective $NA$ interaction up to third chiral order (N2LO) and extract elastic scattering observables. We quantify the chiral truncation error using pointwise and correlated methods. Results: We analyze proton-$^{16}$O and neutron-$^{12}$C elastic scattering observables between 65 and 185 MeV projectile kinetic energy. We find qualitatively similar results for the chiral truncation uncertainties as in few-body systems, which we assess using similar diagnostic tools. The order-by-order convergence of the scattering observables for $^{16}$O and $^{12}$C is reasonable near 100 MeV, but for higher energies the expansion parameter becomes too large to converge. We find a near-perfect correlation between the neutron differential cross section and the $NN$ Wolfenstein amplitudes for small momentum transfers. Conclusions: The tools used to study the convergence of a chiral $NN$ interaction in few-body systems can be applied to $NA$ scattering with minor changes. The $NN$ interaction used here gives a good description of $^{16}$O and $^{12}$C scattering observables as low as 65 MeV. The very forward direction of the neutron differential cross section mirrors the behavior of the $NN$ interaction amazingly well.

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