New predictions for generalized spin polarizabilities from heavy baryon chiral perturbation theory

New predictions for generalized spin polarizabilities from heavy baryon chiral perturbation theory
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重重子手性微扰理论对广义自旋极化率的新预测

DOI:
10.1103/physrevd.70.114004
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发表时间:
2004
期刊:
影响因子:
5
通讯作者:
M. Vanderhaeghen
M. Vanderhaeghen
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
C. Kao;B. Pasquini;M. Vanderhaeghen

文献摘要

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我们从重重子手性微扰理论中 $\mathcal{O}({p}^{4})$ 处虚拟康普顿散射的自旋相关振幅中提取核子自旋翻转广义极化率 (GP) 的次高序结果。按照这个顺序,没有未知的低能常数进入理论,使我们能够对所有自旋翻转 GP 进行绝对预测。此外,通过使用核子交叉引起的 GP 之间的约束方程与虚拟康普顿散射振幅的电荷共轭对称性相结合,我们得到了其中一个 GP 的次到次到次领先顺序预测。我们为即将进行的双极化实验提供了估计,这些实验允许人们访问核子的这些自旋翻转 GP。
We extract the next-to-next-to-leading order results for spin-flip generalized polarizabilities (GPs) of the nucleon from the spin-dependent amplitudes for virtual Compton scattering at $\mathcal{O}({p}^{4})$ in heavy baryon chiral perturbation theory. At this order, no unknown low-energy constants enter the theory, allowing us to make absolute predictions for all spin-flip GPs. Furthermore, by using constraint equations between the GPs due to nucleon crossing combined with charge conjugation symmetry of the virtual Compton scattering amplitudes, we get a next-to-next-to-next-to-leading order prediction for one of the GPs. We provide estimates for forthcoming double-polarization experiments which allow one to access these spin-flip GPs of the nucleon.