arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1708.04017nucl-thastro-ph.SRnucl-ex
收藏

模型、测量和有效场论:次领先阶的BERGINE-7质子俘获

Models, measurements, and effective field theory: proton capture on Beryllium-7 at next-to-leading order

Xilin Zhang, Kenneth M. Nollett, Daniel R. Phillips

摘要:

我们采用有效场论(EFT),利用分离的尺度在p波晕核$^8\mathrm{B}$描述的过程$^7\mathrm{Be}(p,γ)^8\mathrm{B}$的质心能量为500千电子伏。的计算,我们开发的拉格朗日和功率计数,进行到下一个领先的顺序(NLO)的EFT扩展。我们采用的功率计数意味着库仑相互作用必须包括在$α_{\rm em}$的所有订单。我们这样做,通过EFT费曼图计算的时间有序微扰理论,因此恢复现有的量子力学技术,如两个潜在的形式主义的库仑核干涉的治疗。同时,强相互作用和E1算子通过动量幂的EFT展开来处理,由${}^7$ Be核的大小,$Λ\approx 70$ MeV设置击穿尺度。直到NLO,进入辐射俘获反应的不同通道中的相关物理被编码在十个不同的EFT耦合中。其结果是一个模型无关的参数化的反应振幅的能量制度的利益。为了显示连接到以前的结果,我们固定的EFT耦合使用的结果从一些潜在的模型和微观计算在文献中。这些模型中的每一个都对应于EFT空间中的特定点。因此,EFT结构提供了一种非常通用的方法来量化$^7\mathrm{Be}(p,γ)^8\mathrm{B}$计算中的模型不确定性。我们还证明,只有N $^2$ LO修正$^7\mathrm{Be}(p,γ)^8\mathrm{B}$来自一个非弹性,实际上是N $^3$ LO大小的能量范围内的利益,所以在我们的计算截断误差是有效的N $^3$ LO。我们还讨论了我们的外推的$S(0)$以前的标准评价的关系。

英文摘要:

We employ an effective field theory (EFT) that exploits the separation of scales in the p-wave halo nucleus $^8\mathrm{B}$ to describe the process $^7\mathrm{Be}(p,γ)^8\mathrm{B}$ up to a center-of-mass energy of 500 keV. The calculation, for which we develop the lagrangian and power counting, is carried out up to next-to-leading order (NLO) in the EFT expansion. The power counting we adopt implies that Coulomb interactions must be included to all orders in $α_{\rm em}$. We do this via EFT Feynman diagrams computed in time-ordered perturbation theory, and so recover existing quantum-mechanical technology such as the two-potential formalism for the treatment of the Coulomb-nuclear interference. Meanwhile the strong interactions and the E1 operator are dealt with via EFT expansions in powers of momenta, with a breakdown scale set by the size of the ${}^7$Be core, $Λ\approx 70$ MeV. Up to NLO the relevant physics in the different channels that enter the radiative capture reaction is encoded in ten different EFT couplings. The result is a model-independent parametrization for the reaction amplitude in the energy regime of interest. To show the connection to previous results we fix the EFT couplings using results from a number of potential model and microscopic calculations in the literature. Each of these models corresponds to a particular point in the space of EFTs. The EFT structure therefore provides a very general way to quantify the model uncertainty in calculations of $^7\mathrm{Be}(p,γ)^8\mathrm{B}$. We also demonstrate that the only N$^2$LO corrections in $^7\mathrm{Be}(p,γ)^8\mathrm{B}$ come from an inelasticity that is practically of N$^3$LO size in the energy range of interest, and so the truncation error in our calculation is effectively N$^3$LO. We also discuss the relation of our extrapolated $S(0)$ to the previous standard evaluation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑