Coulomb-Sturmian basis for the nuclear many-body problem
Coulomb-Sturmian basis for the nuclear many-body problem
复制标题
核多体问题的库仑-斯特米安基础
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
J. Vary
中科院分区：
文献类型：
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作者：
M. Caprio;P. Maris;J. Vary
在从头计算无核组态相互作用（NCCI）的方法，如无核壳模型或无核全组态方法，传统上进行了使用谐振子多体基础。然而，在大半径的振子函数的快速衰减（高斯渐近性），使他们不太适合描述的渐近性质的核子波函数。我们建立的基础进行NCCI计算与替代的多体基础建立从库仑-Sturmian函数。这些提供了一个完整的，离散的功能与现实的指数衰减集。我们提出了说明性的NCCI计算6Li与库仑-Sturmian基础和调查的质心分离和虚假的激发。
Calculations in ab initio no-core configuration interaction (NCCI) approaches, such as the no-core shell model or no-core full configuration methods, have conventionally been carried out using the harmonic-oscillator many-body basis. However, the rapid falloff (Gaussian asymptotics) of the oscillator functions at large radius makes them poorly suited for the description of the asymptotic properties of the nuclear wave function. We establish the foundations for carrying out NCCI calculations with an alternative many-body basis built from Coulomb-Sturmian functions. These provide a complete, discrete set of functions with a realistic exponential falloff. We present illustrative NCCI calculations for 6Li with a Coulomb-Sturmian basis and investigate the center-of-mass separation and spurious excitations.