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arXiv · 2508.07986

Proton-proton scattering on a quantum computer

Ratna Khadka·Gautam Rupak
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Abstract

Scattering of charged particles is ubiquitous in nuclear physics. We calculate the proton-proton $s$-wave phase shift at low energy relevant to solar physics. The phase shift is calculated from the ratio of the regular and irregular solutions to the radial Schr\"odinger equation on a hard spherical wall boundary for the ground state. The ground state energy is calculated using a hybrid quantum-classical variational algorithm. A theory with short-ranged nuclear interaction in the presence of the long-ranged Coulomb force is used to describe the scattering. The theory is discretized on a spatial lattice for adaptation to the quantum computer in the second quantized language. The phase shifts at low momenta are accurately reproduced.

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Ratna Khadka, Gautam Rupak. 2025-08-11. Proton-proton scattering on a quantum computer. https://arxiv.org/abs/2508.07986

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