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胡柏山, 许甫荣. Hartree-Fock基矢下第一性原理的多体微扰理论计算[J]. 原子核物理评论, 2017, 34(3): 344-350. DOI: 10.11804/NuclPhysRev.34.03.344
引用本文: 胡柏山, 许甫荣. Hartree-Fock基矢下第一性原理的多体微扰理论计算[J]. 原子核物理评论, 2017, 34(3): 344-350. DOI: 10.11804/NuclPhysRev.34.03.344
HU Baishan, XU Furong. Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction[J]. Nuclear Physics Review, 2017, 34(3): 344-350. DOI: 10.11804/NuclPhysRev.34.03.344
Citation: HU Baishan, XU Furong. Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction[J]. Nuclear Physics Review, 2017, 34(3): 344-350. DOI: 10.11804/NuclPhysRev.34.03.344

Hartree-Fock基矢下第一性原理的多体微扰理论计算

Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction

  • 摘要: 从现实核力出发(手征有效场论N3LO),应用多体微扰理论对一些双幻核进行计算。借助相似重整化群理论对手征有效场论核力进行"软化"处理。在Hartree-Fock基矢下对有效哈密顿量进行多体微扰理论计算,对能量的修正计算到第三阶,对波函数微扰修正到第二阶。利用反对称化的Goldstone图对波函数进行展开,进而对单体密度进行修正,从单体密度出发对原子核半径进行计算。与实验数据进行对比,给出了很好的计算结果。


    Starting from chiral N3LO, we have applied many-body perturbation theory (MBPT) to the structure of spherical, doubly closed-shell nuclei. The two-body N3LO interaction is softened by a similarity renormalization group transformation. The MBPT calculations are performed within the Hartree-Fock (HF) bases. Higher-order corrections in the HF basis are small relative to the leading-order perturbative result. Corrections up to the third order in energy and up to the second order in wave function are evaluated. Using the anti-symmetrized Goldstone diagram expansions of the wave function, we directly correct the one-body density for the calculation of the radius. Our results are in very good agreement with experimental data.

     

    Abstract: Starting from chiral N3LO, we have applied many-body perturbation theory (MBPT) to the structure of spherical, doubly closed-shell nuclei. The two-body N3LO interaction is softened by a similarity renormalization group transformation. The MBPT calculations are performed within the Hartree-Fock (HF) bases. Higher-order corrections in the HF basis are small relative to the leading-order perturbative result. Corrections up to the third order in energy and up to the second order in wave function are evaluated. Using the anti-symmetrized Goldstone diagram expansions of the wave function, we directly correct the one-body density for the calculation of the radius. Our results are in very good agreement with experimental data.

     

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