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Mass-height relation for antimatter meteors
Authors:P M Papaelias  A Apostolakis
Institution:(1) Laboratory of Astrophysics, Dept. of Physics, National University of Athens, Greece;(2) Nuclear Physics Laboratory, Dept. of Physics, National University of Athens, Greece
Abstract:A formula to compute the mass-height relation for the case of possible antimatter meteor entrance is derived.It is governed by the annihilation cross section for the atom-antiatom interactions which experimentally is unknown,and by various mechanisms which are possibly reducing its value. For the special case of thermal energies,the annihilation cross-section Sgran may be connected with the elastic cross-sectionSgrel by the relation % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS% baaSqaaiaabggacaqGUbaabeaakiabg2da9iabeo8aZnaaBaaaleaa% caqGLbGaaeiBaaqabaGccqGHpis1caWGMbWaaSbaaSqaaiaadMgaae% qaaaaa!4227!\\sigma _{{\rm{an}}} = \sigma _{{\rm{el}}} \prod f_i \],where the factors % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaaBa% aaleaacaWGPbaabeaaaaa!37F1!\f_i \]are all less or equal to unity. Among them, the most significant is the barrier factor % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaaBa% aaleaacaWGIbaabeaaaaa!37EA!\f_b \] b described by many scientists, which may possibly reduce the annihilation cross-section down to lower than 10–11 times than that of a simple elastic collision. The above formula could also be found useful, for some applications, which are currently in progress.
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