Question

List the quantum numbers associated with leptons. State whether they are conserved in strong, weak and electromagnetic interactions. Hence explain whether the following reactions are allowed

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b) Show thats equation a weak interaction decay whereasequation

electromagnetic decay.

21 Apr 2025
Answer :
Word Count : 636
Leptons carry the following important quantum numbers: electric charge $Q$ (e.g. $e^-\!:Q=-1$, $\nu\!:Q=0$), spin $s=\tfrac12$, baryon number $B=0$, total lepton number $L$ (conventionally $L=+1$ for a lepton, $L=-1$ for an antilepton, $L=0$ for non-leptons) and the three family (flavour) lepton numbers $L_e,\;L_\mu,\;L_\tau$ (each equals $+1$ for the corresponding lepton, $-1$ for its antiparticle, 0 otherwise). There is no strangeness, charm, etc., associated with leptons. Conservation in interactions: * Strong interaction: conserves baryon number, electric charge, total lepton number and each lepton family number; it does not change lepton identity because it acts only on quarks and gluons. * Electromagnetic interaction: conserves electric charge, baryon number, total lepton number and each lepton family number; it can emit/absorb photons but does not change lepton flavour. * Weak interaction: conserves electric charge and baryon number (in ordinary low-energy processes) and—within the Standard Model—conserves total lepton number $L$. Charged-current weak processes connect quarks to leptons (e.g. $d\to u + e^- + \bar\nu_e$) and ___ ______ __________ _____ _______ __________ __________ __________.
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