Quantum calculation of the collision-induced line-shape effects in antiprotonic helium and the new accurate ab initio $\bar{p}$He$^{+}$-He potential energy surface
- URL: http://arxiv.org/abs/2509.23854v1
- Date: Sun, 28 Sep 2025 12:45:36 GMT
- Title: Quantum calculation of the collision-induced line-shape effects in antiprotonic helium and the new accurate ab initio $\bar{p}$He$^{+}$-He potential energy surface
- Abstract summary: We present the first fully ab initio calculations of collision-induced broadening and shift of spectral lines in antiprotonic helium.<n>This dataset provides the first rigorous benchmark for earlier semiclassical calculations.<n>It establishes a robust theoretical reference for high-precision spectroscopy of antiprotonic helium.
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- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: We present the first fully ab initio calculations of collision-induced broadening and shift of spectral lines in antiprotonic helium ($\bar{p}$He$^{+}$) perturbed by atomic helium. To overcome critical limitations of previous studies, we construct a new highly accurate potential energy surface (PES) that spans a wide range of $\bar{p}$He$^{+}$-He geometries relevant to all metastable states of the exotic helium atom. Rigorous quantum scattering calculations performed using the new PES yield scattering $S$-matrices from which we extract pressure broadening and shift coefficients for 50 transitions in antiprotonic helium-4 ($\bar{p}^{4}$He$^{+}$). This dataset provides the first rigorous benchmark for earlier semiclassical calculations and establishes a robust theoretical reference for high-precision spectroscopy of antiprotonic helium, which is used to test the fundamental charge, parity, and time reversal (CPT) symmetry. The results extend to temperatures relevant to non-gaseous phases of helium, supporting a new class of precision measurements. This study introduces a methodological framework for future investigations of other exotic systems, such as pionic or kaonic helium atoms, enabling the development of reference data for high-precision spectroscopy of these species - an essential component for improving the determination of the pion and kaon masses.
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