Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range

Yusuke Namekawa; Takeshi Yamazaki

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Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range

机译：Bethe-Salpeter波函数在相互作用范围内的壳内和壳外半个散射幅度的夸克质量依赖性

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We evaluate scattering amplitudes at on-shell and half off-shell for I = 2 S-wave two-pion system using the Bethe-Salpeter wave function inside the interaction range in the quenched QCD. The scattering length and effective range are extracted from these scattering amplitudes. Quark mass dependence of them is investigated with the pion mass ranged in 0.52–0.86?GeV. We examine consistency between a result by the conventional finite volume method and our estimate, as well as the phenomenological value.

机译：我们使用在淬灭的QCD相互作用范围内的Bethe-Salpeter波函数，对I = 2 S波两点系统的壳上和半壳外的散射幅度进行评估。从这些散射幅度中提取出散射长度和有效范围。研究了它们的夸克质量依赖性，其介子质量范围为0.52-0.86？GeV。我们检查了常规有限体积方法的结果与我们的估计之间的一致性以及现象学价值。

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《Physical review, D》 |2019年第11期|共16页
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Yusuke Namekawa; Takeshi Yamazaki;
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1. Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range [J] . Yusuke Namekawa, Takeshi Yamazaki Physical review, D . 2019,第11aPta1期

机译：在交互范围内的贝特 - Salpet波函数的壳壳和半离壳散射幅度的夸克质量依赖性
2. Scattering amplitude from Bethe-Salpeter wave function inside the interaction range [J] . Yusuke Namekawa, Takeshi Yamazaki Physical review, D . 2018,第1aPta1期

机译：在交互范围内的贝特 - Salpet波函数的散射幅度
3. Scattering amplitude from Bethe-Salpeter wave function inside the interaction range [J] . Yusuke Namekawa, Takeshi Yamazaki Physical review, D . 2018,第1期

机译：相互作用范围内来自Bethe-Salpeter波函数的散射幅度
4. Relation Between Scattering Amplitude and Bethe-Salpeter Wave Function Inside Interaction Range [C] . Takeshi Yamazaki International Conference on Few-Body Problems in Physics . 2020

机译：交互范围内散幅和贝特 - 排沙波函数的关系
5. Scattering of plane SH-waves around topographies in a wedge-shaped half-space: Soil-structure interaction. [D] . Dermendjian, Nazaret. 2002

机译：平面SH波在楔形半空间中围绕地形的散射：土壤-结构相互作用。
6. Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range [O] . Yusuke Namekawa, Takeshi Yamazaki 2019

机译：在交互范围内的贝特 - Salpet波函数的壳壳和半离壳散射幅度的夸克质量依赖性

Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range

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