--- abstract: "Context. Gamma-ray emission during long-duration gamma-ray flare (LDGRF)\ \ events is thought to be caused mainly by > 300 MeV protons interacting with the\ \ ambient plasma at or near the photosphere. Prolonged periods of the gamma-ray\ \ emission have prompted the suggestion that the source of the energetic protons\ \ is acceleration at a coronal mass ejection (CME)-driven shock, followed by particle\ \ back-precipitation onto the solar atmosphere over extended times. \\textbackslash\ \ Aims: We study the latter hypothesis using test particle simulations, which allow\ \ us to investigate whether scattering associated with turbulence aids particles\ \ in overcoming the effect of magnetic mirroring, which impedes back-precipitation\ \ by reflecting particles as they travel sunwards. \\textbackslash Methods: The\ \ instantaneous precipitation fraction, P, the proportion of protons that successfully\ \ precipitate for injection at a fixed height, r$_i$, is studied as a function\ \ of scattering mean free path, \\ensuremath\\lambda and r$_i$. Upper limits\ \ to the total precipitation fraction, P\u0305, were calculated for eight LDGRF\ \ events for moderate scattering conditions (\\ensuremath\\lambda = 0.1 AU).\ \ \\textbackslash Results: We find that the presence of scattering helps back-precipitation\ \ compared to the scatter-free case, although at very low \\ensuremath\\lambda\ \ values outward convection with the solar wind ultimately dominates. For eight\ \ LDGRF events, due to strong mirroring, P\u0305 is very small, between 0.56 and\ \ 0.93\\% even in the presence of scattering. \\textbackslash Conclusions: Time-\ \ extended acceleration and large total precipitation fractions, as seen in the\ \ observations, cannot be reconciled for a moving shock source according to our\ \ simulations. Therefore, it is not possible to obtain both long duration \\ensuremath\\\ gamma ray emission and efficient precipitation within this scenario. These results\ \ challenge the CME shock source scenario as the main mechanism for \\ensuremath\\\ gamma ray production in LDGRFs." adsnote: Provided by the SAO/NASA Astrophysics Data System adsurl: https://ui.adsabs.harvard.edu/abs/2022A&A...658A..23H archivePrefix: arXiv authors: - A. Hutchinson - S. Dalla - T. Laitinen - G. A. de Nolfo - A. Bruno - J. M. Ryan - C. O. G. Waterfall category: publications date: '2022-02-01' doi: 10.1051/0004-6361/202142002 draft: false eid: A23 eprint: '2012.05146' featured: false journal: A&A month: February pages: A23 primaryClass: astro-ph.SR projects: [] publication: A&A publication_types: - '2' tags: - Astroparticle physics - 'Sun: coronal mass ejections (CMEs)' - 'Sun: particle emission' - 'Sun: x-rays' - Gamma rays - Turbulence - Astrophysics - solar and stellar astrophysics - Astrophysics - high energy astrophysical phenomena title: 'Energetic proton back-precipitation onto the solar atmosphere in relation to long-duration gamma-ray flares' type: ARTICLE volume: '658' year: '2022' ---