利用算符乘积展开分析轻核中的动量分布
Analyzing momentum distributions in light nuclei with the operator product expansion
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中文总结 AI 辅助
本文利用算符乘积展开和无π有效场论分析轻核中核子分布的高动量尾部，通过两核子动量分布分离自旋-同位旋通道，并从变分蒙特卡罗数据提取局域算符矩阵元，准确重构大动量单核子分布，发现AV18势下两种分布存在近似关系。
中文摘要 AI 辅助
我们利用算符乘积展开（OPE）和无π有效场论分析了原子核中核子分布的高动量尾部。OPE将分布因子化为由两核子散射确定的Wilson系数和局域算符矩阵元（LOMEs）。由于在单核子分布中，领先阶的${{}^1S_0}$和${{}^3S_1}$ Wilson系数几乎简并，我们构建了两核子动量分布的OPE，将两个贡献分离到不同的自旋-同位旋通道中。通过变分蒙特卡罗方法得到的$^3$He、$^4$He、$^6$Li和$^{12}$C的两核子分布，我们提取了LOMEs，并准确重构了大动量下的单核子分布。在像AV18这样没有显式非核子自由度的势中，单核子和两核子OPE的Wilson系数成正比，从而得出两种分布之间的近似关系。
英文摘要
We analyze the high-momentum tails of nucleon distributions in nuclei using the operator product expansion (OPE) and Pionless effective field theory. The OPE factorizes the distributions into Wilson coefficients, determined from two-nucleon scattering, and local-operator matrix elements (LOMEs). Because the leading ${{}^1S_0}$ and ${{}^3S_1}$ Wilson coefficients are nearly degenerate in the single-nucleon distribution, we construct the OPE of the two-nucleon momentum distribution, which separates the two contributions into distinct spin-isospin channels. From variational Monte Carlo two-nucleon distributions of \isotope[3]{He}, \isotope[4]{He}, \isotope[6]{Li}, and \isotope[12]{C}, we extract the LOMEs and accurately reconstruct the single-nucleon distributions at large momenta. In potentials without explicit non-nucleon degrees of freedom such as AV18, the Wilson coefficients of the single- and two-nucleon OPEs are proportional, yielding approximate relations between the two distributions.
发表机构
- College of Physics, Sichuan University（四川大学物理学院）
- School of Physics, Peking University（北京大学物理学院）
- Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所南方核科学理论中心）
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