低能中微子和反中微子与氖和氩的散射
Scattering of low energy neutrinos and antineutrinos by neon and argon
摘要：
低能中微子和反中微子被原子电子散射的理论是最近发展起来的。B. Whittingham，Phys.Rev.D105，013008（2022））使用位形空间中的束缚相互作用图来完全实现中微子螺旋度与原子电子的轨道和自旋角动量之间的关系。用狄拉克屏蔽库仑本征函数计算了能量为5、10、20和30 keV的中微子和反中微子与氢、氦和氖散射产生的电离电子的能谱。本文报道了这一理论的进一步应用，一个新的计算氖的能谱，因为原来的计算使用了一些屏蔽常数，低估了屏蔽的影响，在内部subshells，和散射氩。结果表示为与$Z$自由电子散射的相应量的比值。氖的新光谱比比原来的比率大了约0.03至约0.14，其中最大的增加发生在10 keV的中微子和反中微子。积分光谱比范围从0.16到0.59氖，从0.15到0.48氩，作为中微子能量从5增加到30千电子伏。
英文摘要：
The theory of scattering of low energy neutrinos and antineutrinos by atomic electrons has recently been developed (I. B. Whittingham, Phys. Rev. D 105, 013008 (2022)) using the Bound Interaction Picture in configuration space to fully implement the relationship between the neutrino helicities and the orbital and spin angular momenta of the atomic electrons. The energy spectra of ionization electrons produced by scattering of neutrinos and antineutrinos with energies of 5, 10, 20, and 30 keV by hydrogen, helium and neon were calculated using Dirac screened Coulombic eigenfunctions. This paper reports further applications of this theory, to a new calculation of the energy spectra for neon, as the original calculation used some screening constants which underestimated the effects of screening in the inner subshells, and to scattering by argon. The results are presented as ratios to the corresponding quantities for scattering by $Z$ free electrons. The new spectra ratios for neon are larger than the original ratios by approx 0.03 to approx 0.14, with the greatest increases occurring for 10 keV neutrinos and antineutrinos. Integrated spectra ratios range from 0.16 to 0.59 for neon, and from 0.15 to 0.48 for argon, as the neutrino energy increases from 5 to 30 keV.
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