基于格点有效场论的原子核电荷半径微扰计算  

Perturbation Calculation of Charge Radii in Nuclear Lattice Effective Field Theory

作　　者：马远卓 吕炳楠 李宁 王倩[1] MA Yuanzhuo;LU Bingnan;LI Ning;WANG Qian(Key Laboratory of Atomic and Subatomic Structure and Quantum Control(MOE),Institute of Quantum Matter,South China Normal University,Guangzhou 510006,China;Facility for Rare Isotope Beams,Michigan State University,MI 48824,USA;Graduate School of China Academy of Engineering Physics,Beijing 100193,China;School of Physics,Sun Yat-Sen University,Guangzhou 510275,China)

机构地区：[1]华南师范大学量子物质研究院,原子亚原子结构与量子调控教育部重点实验室,广州510006 [2]Facility for Rare Isotope Beams,Michigan State University,MI 48824,USA [3]中国工程物理研究院研究生院,北京100193 [4]中山大学物理学院,广州510275

出　　处：《原子核物理评论》2024年第1期172-177,共6页Nuclear Physics Review

基　　金：国家自然科学基金资助项目(12105106,12375073,12275259);国家自然科学基金委员会-中国工程物理研究院NSAF联合基金资助(U2330401);广东省基础与应用基础研究基金(2023A1515011704)。

摘　　要：原子核格点有效场论(Nuclear Lattice Effective Field Theory)是近些年发展起来的一种高精度原子核第一性原理计算方法。它将手征有效场论与格点量子蒙特卡罗方法有机结合起来,能够在统一的理论框架下构建核力与求解量子多体问题。近年来新发展出来的波函数匹配(wave function matching)方法与微扰量子蒙特卡罗方法(perturbative quantum Monte Carlo method)为解决著名的“符号问题”开辟了全新的路径。本工作在这些方法的基础上,通过计算两点关联函数发展出格点上电荷半径的微扰计算方法,验证计算表明了本工作的可靠性。使用手征N^(3)LO核力的计算能够很好地复现^(4)He、^(12)C与^(16)O的实验测量结果。With recent years of development,Nuclear Lattice Effective Field Theory(NLEFT)is becoming a powerful and high-fidelity ab initio method.It takes advantage of the chiral effective field theory and quantum Monte Carlo on lattice and can build nuclear forces and solve quantum many-body problems in the same framework.The newly developed wave function matching method and perturbative quantum Monte Carlo method pave the way to avoid the"sign problem".In this work,we implement all these new techniques along with the two-point correlation function to measure the charge radii on lattice.Benchmark calculations show our method is solid and full N^(3)LO calculation can well reproduce the experiment data of ^(4)He,^(12)C and ^(16)O.

关 键 词：原子核电荷半径 手征有效场论 格点微扰计算 

分 类 号：O571.2[理学—粒子物理与原子核物理]