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Консультация № 187801
28.03.2014, 10:14
183.54 руб.
0
3
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Определить массу релятивистской частицы, если знаем, что она при движении распадается на 2 частицы с массами m1, m2. Известны также импульсы этих частиц: p1, p2, и угол α между направлениями их разлета.
Спасибо за помощь.
Определить массу релятивистской частицы, если знаем, что она при движении распадается на 2 частицы с массами m1, m2. Известны также импульсы этих частиц: p1, p2, и угол α между направлениями их разлета.
Спасибо за помощь.
Обсуждение
28.03.2014, 13:41
общий
это ответ
Здравствуйте, Логинов Трофим В.!
Воспользуемся формулой E2=m2c4+p2c2
Очевидно, что полная энергия исходной частицы равна сумме полных энергий продуктов распада
E=E1+E2=[$8730$](m12c4+p12c2)+[$8730$](m22c4+p22c2)
С другой стороны, импульс исходной частицы равен векторной сумме импульсов продуктов
p2=p12+p22+2p1p2[$183$]cos[$945$]
отсюда масса покоя исходной частицы
m=[$8730$](E2/c4-p2/c2)=[$8730$](([$8730$](m12+p12/c2)+[$8730$](m22+p22/c2))2-(p12+p22+2p1p2[$183$]cos[$945$])/c2)
Воспользуемся формулой E2=m2c4+p2c2
Очевидно, что полная энергия исходной частицы равна сумме полных энергий продуктов распада
E=E1+E2=[$8730$](m12c4+p12c2)+[$8730$](m22c4+p22c2)
С другой стороны, импульс исходной частицы равен векторной сумме импульсов продуктов
p2=p12+p22+2p1p2[$183$]cos[$945$]
отсюда масса покоя исходной частицы
m=[$8730$](E2/c4-p2/c2)=[$8730$](([$8730$](m12+p12/c2)+[$8730$](m22+p22/c2))2-(p12+p22+2p1p2[$183$]cos[$945$])/c2)
Спасибо за подсказку.
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