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arXiv 2206.04497nucl-thhep-lathep-ph
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有限体积中轻核的能谱

Spectrum of light nuclei in a finite volume

Roee Yaron, Betzalel Bazak, Martin Schäfer, Nir Barnea

摘要:

具有物理夸克质量的多重子系统的格点量子色动力学计算将开创核物理从头算预言的新时代。在有限网格上进行,这样的计算要求将其有限体积数值结果外推到自由空间物理量。这种物理信息的提取可以通过将有效场论(EFT)直接拟合到有限体积结果或利用Lüscher自由空间公式或其推广来进行,以将晶格数据外推到无限体积。为了更好地理解周期性边界条件对少核子系统结合能的影响,我们在这里探讨了有限盒子和自由空间中具有物理质量的轻核。采用随机变分法求解少体系统。大量的优化方法引入,以使有效的计算在一个周期性的框。利用优化后的程序,我们对轻核$A \le 4$在首阶无π介子EFT中的性质进行了精确的计算。使用二体系统的Lüscher公式及其对三体和四体系统的推广,我们检查了盒子效应并探索了这些公式对于所考虑的核系统可能存在的局限性。

英文摘要:

Lattice quantum chromodynamics calculations of multi-baryon systems with physical quark masses would start a new age of ab initio predictions in nuclear physics. Performed on a finite grid, such calculations demand extrapolation of their finite volume numerical results to free-space physical quantities. Such extraction of the physical information can be carried out fitting effective field theories (EFTs) directly to the finite-volume results or utilizing the Lüscher free-space formula or its generalizations for extrapolating the lattice data to infinite volume. To understand better the effect of periodic boundary conditions on the binding energy of few nucleon systems we explore here light nuclei with physical masses in a finite box and in free space. The stochastic variational method is used to solve the few-body systems. Substantial optimizations of the method are introduced to enable efficient calculations in a periodic box. With the optimized code, we perform accurate calculations of light nuclei $A \le 4$ within leading order pionless EFT. Using Lüscher formula for the two-body system, and its generalization for 3- and 4-body systems, we examine the box effect and explore possible limitations of these formulas for the considered nuclear systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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