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马远卓, 吕炳楠, 李宁, 王倩. 基于格点有效场论的原子核电荷半径微扰计算[J]. 原子核物理评论, 2024, 41(1): 172-177. DOI: 10.11804/NuclPhysRev.41.2023CNPC77
引用本文: 马远卓, 吕炳楠, 李宁, 王倩. 基于格点有效场论的原子核电荷半径微扰计算[J]. 原子核物理评论, 2024, 41(1): 172-177. DOI: 10.11804/NuclPhysRev.41.2023CNPC77
Yuanzhuo MA, Bingnan LÜ, Ning LI, Qian WANG. Perturbation Calculation of Charge Radii in Nuclear Lattice Effective Field Theory[J]. Nuclear Physics Review, 2024, 41(1): 172-177. DOI: 10.11804/NuclPhysRev.41.2023CNPC77
Citation: Yuanzhuo MA, Bingnan LÜ, Ning LI, Qian WANG. Perturbation Calculation of Charge Radii in Nuclear Lattice Effective Field Theory[J]. Nuclear Physics Review, 2024, 41(1): 172-177. DOI: 10.11804/NuclPhysRev.41.2023CNPC77

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

  • 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N3LO核力的计算能够很好地复现4He、12C与16O的实验测量结果。

     

    Abstract: 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 N3LO calculation can well reproduce the experiment data of 4He, 12C and 16O.

     

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