论文标题
{\ it ab-initio} gamow shell模型方法与核心
An {\it ab-initio} Gamow shell model approach with a core
论文作者
论文摘要
Gamow壳模型（GSM）通常在木材撒克逊（WS）基础上进行，其中WS参数需要通过拟合实验性的单粒子能（包括其共振宽度）来确定。在多壳情况下，由于缺乏交叉壳单粒子能和宽度的实验数据，因此很难拟合。在本文中，我们通过引入gamow hartree-fock（GHF）基础来开发{\ it ab-initio} gsm，该基础是使用与构造壳牌汉密尔顿的构造相同的相互作用获得的。 GSM利用复杂的伯格格伦表示，然后包括共振和连续元组件。因此，GSM很好地描述了弱结合和未结合的核。从手性有效的野外理论开始，并采用多体扰动理论（MBPT）（称为非等级$ \ hat Q $ box折叠折叠式折面法），在这项工作中的多壳汉密尔顿（{\ it sd-pf}壳中）可以构建。也可以使用MBPT获得单粒子能及其共振宽度。我们研究了$^{23-28} $ o和$^{23-31} $ f同位素，为此，需要进行多壳计算。计算表明，连续效应和{\ it pf}壳的包含是了解近距离和超越driple式核的结构的重要元素。
Gamow shell model (GSM) is usually performed within the Woods-Saxon (WS) basis in which the WS parameters need to be determined by fitting experimental single-particle energies including their resonance widths. In the multi-shell case, such a fit is difficult due to the lack of experimental data of cross-shell single-particle energies and widths. In this paper, we develop an {\it ab-initio} GSM by introducing the Gamow Hartree-Fock (GHF) basis that is obtained using the same interaction as the one used in the construction of the shell-model Hamiltonian. GSM makes use of the complex-momentum Berggren representation, then including resonance and continuum components. Hence, GSM gives a good description of weakly bound and unbound nuclei. Starting from chiral effective field theory and employing many-body perturbation theory (MBPT) (called nondegenerate $\hat Q$-box folded-diagram renormalization) in the GHF basis, a multi-shell Hamiltonian ({\it sd-pf} shells in this work) can be constructed. The single-particle energies and their resonance widths can also been obtained using MBPT. We investigated $^{23-28}$O and $^{23-31}$F isotopes, for which multi-shell calculations are necessary. Calculations show that continuum effects and the inclusion of the {\it pf} shell are important elements to understand the structure of nuclei close to and beyond driplines.
