Isoscalar and isovector density dependence of the pairing functional determined from global fitting

Isoscalar and isovector density dependence of the pairing functional determined from global fitting
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DOI:
10.1103/physrevc.86.034333
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发表时间:
2012-09
期刊:
影响因子:
3.1
通讯作者:
M. Yamagami;J. Margueron;H. Sagawa;K. Hagino
M. Yamagami;J. Margueron;H. Sagawa;K. Hagino
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Yamagami;J. Margueron;H. Sagawa;K. Hagino

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我们优化的局部能量密度函数的配对相关性(对DF)的密度依赖性,同时考虑到isoscope和isovector密度。用Hartree-Fock-Bogoliubov方法计算了N,Z>8的偶偶核的实验配对能隙。新的配对能量密度泛函给出了所有配对能隙的最佳拟合,均方根偏差为σtot=(260-360)keV,取决于粒子-空穴通道中采用的Skyrme相互作用。它表明,isoscalar密度依赖于对DF可以确定几乎唯一的几个Skyrme力通过调整中子和质子配对间隙。提取了对-DF的等距部分中的参数之间的经验关系。通过计算核图中更宽区域内丰中子和丰质子核的配对能隙,也考察了等矢量部分的不确定性。我们还指出,在丰中子核中,对DF中的线性等矢量密度依赖性可以很好地模拟库仑效应。最后,我们讨论的预测能力的对DF对周围的滴线区域的配对属性。
We optimize the density dependence of a local energy density functional for pairing correlations (pair-DF), taking into account both the isoscalar and the isovector densities. All the experimental pairing gaps in even-even nuclei with N,Z>8 are analyzed by performing the Hartree-Fock-Bogoliubov calculation. The new pairing energy density functionals give the best fit for all the pairing gaps with the rms deviation of σtot=(260-360) keV, depending on adopted Skyrme interactions in the particle-hole channel. It is shown that the isoscalar-density dependence in the pair-DF can be determined almost uniquely for the several Skyrme forces by adjusting the neutron and proton pairing gaps. An empirical relation among the parameters in the isoscalar part of pair-DF is extracted. The uncertainty of the isovector part is also examined by calculating the pairing gaps of neutron-rich and proton-rich nuclei in a wider region of the nuclear chart. We point out also that the linear isovector-density dependence in the pair-DF can mimic well the Coulomb effect for pairing correlations in neutron-rich nuclei. We discuss finally the predictive power of the pair-DF for pairing properties around drip-line regions.