色散光学模型的非定域扩展对费米能级以下数据的描述
Nonlocal extension of the dispersive-optical-model to describe data below the Fermi energy
摘要:
目前的应用的色散光学模型分析的限制使用的本地,但能量依赖版本的广义Hartree-Fock势。通过引入一个相应的非局部势而不需要明确的能量依赖性,这一限制被解除。这样的策略允许一个完整的确定的核子传播费米能量以下的访问的期望值的单体运营商(如电荷密度),与相关的自然轨道的单体密度矩阵,和完整的光谱函数的去除强度。因此,本配方的色散光学模型(DOM),允许使用弹性电子散射数据在确定其参数。应用${}^{40}$钙表明,一个适合的电荷半径导致太多的电荷附近的原点使用传统的假设的DOM的功能形式。一个相应的不完整的描述的高动量成分被确定,这表明DOM制定必须在未来扩展,以适应这种相关性。与本地版本不同,目前的非本地DOM限制的位置的深束缚空穴态的能量是一致的(\textit{e,e} $^{\prime}$ \textit{p})和(\textit{p,2p})数据。
英文摘要:
Present applications of the dispersive-optical-model analysis are restricted by the use of a local but energy-dependent version of the generalized Hartree-Fock potential. This restriction is lifted by the introduction of a corresponding nonlocal potential without explicit energy dependence. Such a strategy allows for a complete determination of the nucleon propagator below the Fermi energy with access to the expectation value of one-body operators (like the charge density), the one-body density matrix with associated natural orbits, and complete spectral functions for removal strength. The present formulation of the dispersive optical model (DOM) therefore allows the use of elastic electron-scattering data in determining its parameters. Application to ${}^{40}$Ca demonstrates that a fit to the charge radius leads to too much charge near the origin using the conventional assumptions of the functional form of the DOM. A corresponding incomplete description of high-momentum components is identified, suggesting that the DOM formulation must be extended in the future to accommodate such correlations properly. Unlike the local version, the present nonlocal DOM limits the location of the deeply-bound hole states to energies that are consistent with (\textit{e,e}$^{\prime}$\textit{p}) and (\textit{p,2p}) data.
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