Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions

Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions
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DOI:
10.1103/physrevlett.111.062501
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发表时间:
2013-08-07
影响因子:
8.6
通讯作者:
Navratil, P.
Navratil, P.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Cipollone, A.;Barbieri, C.;Navratil, P.

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我们扩展了自洽的绿色函数理论的形式主义,包括三体相互作用,并将其应用到氧周围的同位素链的第一次。二体哈密顿量的三阶代数图解构造方程可以在定义来自三体力的系统相关的一体和二体相互作用时使用,并且相应地,丢弃相互作用可约图。由于增加了三体相互作用,总结合能的柯尔顿求和规则得到了修正。这种形式主义,然后应用于研究手征二核子和三核子力演变到低动量截止。氮,氧和氟同位素的结合能再现具有良好的精度,并证明这种方法的预测能力。主导秩序三核子力始终带来的结果接近实验的所有富中子同位素考虑和复制正确的滴线氧和氮。介绍的形式主义也使我们能够计算形状因子的核子转移双魔系统。
We extend the formalism of self-consistent Green's function theory to include three-body interactions and apply it to isotopic chains around oxygen for the first time. The third-order algebraic diagrammatic construction equations for two-body Hamiltonians can be exploited upon defining system-dependent one- and two-body interactions coming from the three-body force, and, correspondingly, dropping interaction-reducible diagrams. The Koltun sum rule for the total binding energy acquires a correction due to the added three-body interaction. This formalism is then applied to study chiral two-and three-nucleon forces evolved to low momentum cutoffs. The binding energies of nitrogen, oxygen, and fluorine isotopes are reproduced with good accuracy and demonstrate the predictive power of this approach. Leading order three-nucleon forces consistently bring results close to the experiment for all neutron rich isotopes considered and reproduce the correct driplines for oxygen and nitrogen. The formalism introduced also allows us to calculate form factors for nucleon transfer on doubly magic systems.