Question
Obtain an expression of momentum distribution of -particles in the momentum range
to
, considering the Coulomb correction term. Also, derive the energy distribution function to get the shape of the
-decay spectrum.
Answer :
Word Count : 307
For β-decay, consider an electron (or β-particle) emitted from a nucleus. The number of electrons emitted with momentum in the range (p_\beta) to (p_\beta + dp_\beta) is proportional to the phase space available and the Coulomb correction from the nuclear charge. The momentum distribution can be written as: [ dN(p_\beta) \propto F(Z, E_\beta), p_\beta^2 , dp_\beta , (E_0 - E_\beta)^2 ] where: * (p_\beta) is the β-particle momentum, (dp_\beta) its small interval, * (E_\beta = \sqrt{p_\beta^2 ________ _____ _________ _____ ______.
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For β-decay, consider an electron (or β-particle) emitted from a nucleus. The number of electrons emitted with momentum in the range (p_\beta) to (p_\beta + dp_\beta) is proportional to the phase space available and the Coulomb correction from the nuclear charge. The momentum distribution can be written as: [ dN(p_\beta) \propto F(Z, E_\beta), p_\beta^2 , dp_\beta , (E_0 - E_\beta)^2 ] where: * (p_\beta) is the β-particle momentum, (dp_\beta) its small interval, * (E_\beta = \sqrt{p_\beta^2 ________ _____ _________ _____ ______.
_____ __________ _____ _______ _____ _______ _____.
________ _______ ___ ____ _____ ________ ______ ___ __________.
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