Derivative expansion of wave function equivalent potentials
Derivative expansion of wave function equivalent potentials
复制标题
波函数等效势的导数展开
DOI：
10.1103/physrevd.95.074514
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发表时间：
2017
影响因子：
5
通讯作者：
Noriyoshi Ishii and Makoto Oka
中科院分区：
文献类型：
--
作者：
Takuya Sugiura;Noriyoshi Ishii and Makoto Oka
在非相对论耦合通道模型中，研究了HAL QCD合作引入的波函数等效势的性质。推广了导数展开式，并将其应用于能量无关的非定域势。展开系数由Nambu-Bethe-Salpeter波函数的解析解确定。根据这些势计算的散射相移与精确值进行比较，以检查展开式的收敛。证明了广义导数展开式的收敛依赖于散射相移，而不是非定域势的函数结构。研究还发现，在广义导数展开式中，通过调整插值场的选择或展开式的尺度，可以改善算法的收敛性能。
Properties of the wave function equivalent potentials introduced by the HAL QCD collaboration are studied in a nonrelativistic coupled-channel model. The derivative expansion is generalized, and then applied to the energy-independent and nonlocal potentials. The expansion coefficients are determined from analytic solutions to the Nambu-Bethe-Salpeter wave functions. The scattering phase shifts computed from these potentials are compared with the exact values to examine the convergence of the expansion. It is confirmed that the generalized derivative expansion converges in terms of the scattering phase shift rather than the functional structure of the non-local potentials. It is also found that the convergence can be improved by tuning either the choice of interpolating fields or expansion scale in the generalized derivative expansion.