Impact of the $\hbox {N}^4\hbox {LO}$ Short-Range Three-Nucleon Force Components on the Nucleon-Deuteron Spin Correlation Coefficients

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2024-04-15 DOI:10.1007/s00601-024-01911-7

Roman Skibiński, Henryk Witała, Jacek Golak

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Abstract

The spin correlation coefficients in the neutron-deuteron elastic scattering process at incoming neutron laboratory energies $\hbox {E}=10$, 135, 190, and 250 MeV are determined by solving the momentum space three-nucleon (3N) Faddeev equations. The chiral two-nucleon (2N) interaction with momentum-space semi-local (SMS) regularization up to the fifth order of chiral expansion ($\hbox {N}^4\hbox {LO}$), supplemented by the F-waves terms from the sixth order ($\hbox {N}^5\hbox {LO}$), is used. Additionally, the consistent 3N force (3NF) at the third order of chiral expansion, supplemented by the short-range contributions from $\hbox {N}^4\hbox {LO}$ is applied. As a results, we give predictions for the complete set of spin correlation coefficients $C_{\alpha ,\beta }$. We find that the effect of the investigated three-nucleon $\hbox {N}^4\hbox {LO}$ components amounts up to several dozen percent, depending on reaction energy, scattering angle and type of spin correlation coefficient itself. Our results can serve as a guide for future measurements of the spin correlation coefficients.

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$$\hbox{N}^4\hbox{LO}$$短程三核子力分量对核子-氘核自旋相关系数的影响

通过求解动量空间三核子（3N）法迪夫方程，确定了入射中子实验室能量（$\hbox {E}=10$, 135, 190 和 250 MeV）下中子-氘核弹性散射过程中的自旋相关系数。使用了手性双核（2N）相互作用与动量空间半局域（SMS）正则化到五阶手性扩展（$\hbox {N}^4\hbox {LO}/)），并辅以六阶的 F 波项（\(\hbox {N}^5\hbox {LO}/)）。此外，我们还使用了手性扩展三阶的一致 3N 力（3NF），并辅以来自 \(\hbox {N}^4\hbox {LO}$ 的短程贡献。结果，我们给出了整套自旋相关系数 $C_{\α ,\beta }$ 的预测值。我们发现，所研究的三核$\hbox {N}^4\hbox {LO}$成分的影响高达几十个百分点，这取决于反应能量、散射角和自旋相关系数本身的类型。我们的结果可以作为未来测量自旋相关系数的指南。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).

Impact of the \(\hbox {N}^4\hbox {LO}\) Short-Range Three-Nucleon Force Components on the Nucleon-Deuteron Spin Correlation Coefficients

Abstract