Difference between revisions of "Nucleus Recoil-Energy in Neutron Capture Reactions"
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<math>E_K = \frac{\overrightarrow{p}^2}{2m}</math> | <math>E_K = \frac{\overrightarrow{p}^2}{2m}</math> | ||
− | The mass of the neutron is ''1'' (atomic mass unit). the mass of the target nucleus is ''A''. The new nucleus will therefore have mass ''A+1''. Then | + | The mass of the neutron is ''1'' (atomic mass unit). the mass of the target nucleus is ''A''. The new nucleus will therefore have mass ''A+1''. Then |
− | | + | <math>E_{K,R} = \frac{\overrightarrow{P}^2_R}{2(A+1)} |
+ | = \frac{\overrightarrow{P}^2_n m_n}{2 m_n (A+1)}</math> | ||
==== Recoil energy from γ emission<br> ==== | ==== Recoil energy from γ emission<br> ==== | ||
d | d |
Revision as of 14:19, 14 November 2012
A nucleus which captures a thermal neutron must, since the momentum is conserved, receive a recoil energy. Immediately after capturing a neutron, the nucleus will emit γ quantas to get rid of the excess energy liberated when the neutron is bound to the nucleus. This also result in a certain amount of recoil energy on the nucleus.
Recoil energy from n-capture
The conservation of momentum demands that
where P denotes the momentum, index n denots the neutron, index T the target nucleus, and index R the recoil.
The general relationship between kinetic energy, EK, and momentum p is given by:
The mass of the neutron is 1 (atomic mass unit). the mass of the target nucleus is A. The new nucleus will therefore have mass A+1. Then
Recoil energy from γ emission
d