发表机构
National University of Uzbekistan（乌兹别克斯坦国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在动量空间Faddeev核中引入库仑相互作用的Fock表示，精确计算三体束缚态，验证了$^{3}$H--$^{3}$He劈裂及轻核团簇态的库仑位移。
AI 中文摘要
未屏蔽库仑相互作用的Fock表示，即一组具有解析形状因子和强度的可分离项，被纳入三体束缚态的动量空间Faddeev核中，与可分离核项并列。束缚态核在负对能量下评估每对相互作用，此时该表示是精确且收敛的，因此库仑力无需屏蔽半径和极限过程即可引入。利用该表示，CD Bonn势的$^{3}$H--$^{3}$He劈裂与精确Faddeev结果非常一致；在$S$波模型空间中，库仑畸变形状因子给出的值约为Fock值的一半。Feshbach--Schur投影对泡利禁止态的作用施加于核加库仑对哈密顿量的禁止本征态上，即在扩展可分离问题中获得的库仑修饰态，正如本征态条件所要求的那样。给出了$^{6}$Li、$^{9}$Be和$^{12}$C的团簇模型态以及$^{9}$Be--$^{9}$B镜像对的库仑位移。通过用库仑扣除相互作用的修饰禁止态和正交性条件模型的谐振子函数替换库仑修饰禁止态，在$^{9}$Be和$^{12}$C中检验了本征态条件。
英文摘要
The Fock representation of the unscreened Coulomb interaction, a block of separable terms with analytic form factors and strengths, is included in the momentum-space Faddeev kernel of three-body bound states beside the separable nuclear terms. A bound-state kernel evaluates every pair interaction at negative pair energies, where the representation is exact and convergent, so the Coulomb force enters without a screening radius and without a limiting procedure. With this representation the $^{3}$H--$^{3}$He splitting of the CD~Bonn potential is in very good agreement with the exact Faddeev result; in the $S$-wave model space the Coulomb-distorted form factors give about half the Fock value. The Feshbach--Schur projection of the Pauli-forbidden states acts on the forbidden eigenstates of the nuclear-plus-Coulomb pair Hamiltonian, the Coulomb-dressed states obtained inside the extended separable problem, as the eigenstate condition requires. The Coulomb displacements of the cluster-model states of $^{6}$Li, $^{9}$Be and $^{12}$C and of the $^{9}$Be--$^{9}$B mirror pair are given. The eigenstate condition is tested in $^{9}$Be and $^{12}$C by replacing the Coulomb-dressed forbidden states with those of the Coulomb-subtracted interaction and with the oscillator functions of the orthogonality-condition model.
Comments20 pages
