problem44_59

University Physics with Modern Physics with Mastering Physics (11th Edition)

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44.59: 0 0 n π + Λ a) 2 2 n 2 2 ) ( ) ( ) ( ) ( 0 0 c m c m c m c m E π Λ - = = MeV. 4 . 41 MeV 0 . 135 MeV 6 . 939 MeV 1116 = - - = b) Using conservation of momentum and kinetic energy; we know that the momentum of the neutron and pion must have the same magnitude, p p n = . 2 ) ( 2 ) ( ) ( ) ( ) ( ) ( 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 E c m K c m K c m K K K c m K c m K c m c m c p c m c m c p c m c m E K n n n n n n n n n n n n n n = - + + + = + = - + + = - + = - + = - = ( . 2 2 2 ) ( 2 ) 2 2 2 2 2 2 2 2 2 2 K c m EK c Em K c m E K c m K c m n n n - - + + + = + + Collectin g terms we find : 2 2 2 2 2 ) 2 2 2 ( c Em E c m E c m K n n + = + + MeV. 62 . 35 . ) MeV 6 . 939 ( 2 ) MeV 4 . 41 ( 2 ) MeV 0 . 135 ( 2 ) MeV 6 . 939 )( MeV 4
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This document was uploaded on 04/20/2008.

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