极化氘康普顿散射的核子自旋极化率
Nucleon Spin Polarisabilities from Polarised Deuteron Compton Scattering
摘要:
本文介绍了最近在小尺度展开变型中的手征有效场论中对极化豆子和目标的次主导阶的弹性氘核康普顿散射的计算结果,以实现动态的Δ(1232)自由度。一个简单的功率计算参数揭示了np-中间重散射态必须明确地包括在前导顺序。这会自动产生正确的汤姆逊极限并保证电流守恒。鉴于MAXlab的持续努力,HIGS的建议和MAMI的计划,我们详细讨论了非偏振和矢量偏振氘核上具有线性或圆偏振光子的单偏振和双偏振可观测量。我们的研究结果表明,几个极化观测值不仅可以帮助提取自旋无关的核子极化率,而且迄今为止,实际上尚未确定的自旋相关的极化率参数化的核子自旋在外部的电-磁场的刚度。其中解决的问题是:收敛的扩展,包括Δ,的作用的np-再散射的贡献,和灵敏度的氘核波函数。这些发现的交互式Mathematica 7.0笔记本可从作者那里获得。
英文摘要:
We present recent results on elastic deuteron Compton scattering calculations for polarised beans and targets up to next-to-leading order within Chiral Effective Field Theory in the Small Scale Expansion variant to implement a dynamical Δ(1232) degree of freedom. A simple power-counting argument discloses that np-intermediate rescattering states must be explicitly included at leading order already. This automatically results in the correct Thomson limit and guarantees current conservation. In view of ongoing effort at MAXlab, proposals at HIGS and plans at MAMI, we address in detail single- and double-polarised observables with linearly or circularly polarised photons on both unpolarised and vector-polarised deuterons. Our results indicate that several of the polarisation observables can be instrumental to extract not only spin-independent nucleon polarisabilities, but also the so-far practically un-determined spin-dependent polarisabilities which parameterise the stiffness of the nucleon spin in external electro-magnetic fields. Amongst the questions addressed are: convergence of the expansion for including the Δ, the role of the np-rescattering contributions, and sensitivity to the deuteron wave function. An interactive Mathematica 7.0 notebook of these findings is available from the authors.
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