In this study, a fully self-consistent method was developed to obtain the wave functions of the positron and electrons in molecules simultaneously. The wave function of a positron at room temperature , with a characteristic energy of approximately $0.04 eV$, was used to analyse the experimental results of its annihilation in helium, neon, hydrogen, and methane molecules. The interactions between the positron and molecule provide a significant correction in the gamma-ray spectra of the annihilating electron--positron pairs. It was also observed that high-order correlations offered almost no correction in the spectra, as the interaction between the low-energy positron and electrons cannot drive the electrons into excited electronic states. More accurate studies, which consider the coupling of the positron--electron pair states and vibration states of nuclei, must be undertaken.

中文翻译：

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室温下分子正电子湮灭过程中的伽马射线光谱

在这项研究中，开发了一种完全自洽的方法来同时获得分子中正电子和电子的波函数。正电子在室温下的波函数，特征能量约为 $0.04 eV$，用于分析其在氦、氖、氢和甲烷分子中湮灭的实验结果。正电子和分子之间的相互作用为湮灭电子-正电子对的伽马射线光谱提供了显着的校正。还观察到高阶相关性几乎不提供光谱校正，因为低能正电子和电子之间的相互作用不能将电子驱动到激发电子态。更准确的研究，