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Консультация № 200209
02.02.2021, 22:48
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Здравствуйте! У меня возникли сложности с таким вопросом: Фотон с энергией Е=3МэВ в поле тяжелого ядра превратился в пару электрон-позитрон. Определите кинетические энергии этих частиц, если скорости их движения одинаковы.
Обсуждение
03.02.2021, 10:50
общий
это ответ
Здравствуйте, zadorshcool!
Фотон с энергией E переносит импульс p = E/c. Ядро поглощает импульс p, а его энергия увеличивается на величину p^2/2M, которой можно пренебречь, так как ядро массивное. Таким образом, энергия фотона делится поровну между электроном и позитроном. На рождение пары электрон-позитрон затрачивается энергия 2m0*c^2 = 2*0.511 МэВ. Каждая частица приобретет кинетическую энергию E/2 - m0*c^2 = 1.5 МэВ - 0.511 МэВ = 0.989 МэВ.
Фотон с энергией E переносит импульс p = E/c. Ядро поглощает импульс p, а его энергия увеличивается на величину p^2/2M, которой можно пренебречь, так как ядро массивное. Таким образом, энергия фотона делится поровну между электроном и позитроном. На рождение пары электрон-позитрон затрачивается энергия 2m0*c^2 = 2*0.511 МэВ. Каждая частица приобретет кинетическую энергию E/2 - m0*c^2 = 1.5 МэВ - 0.511 МэВ = 0.989 МэВ.
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