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in Physics by kratos

Explain with the aid of Feynman diagrams, why the decay D0 → K− + π+ can occur as a charged-current weak interaction at lowest order, but the decay D+ → K0 + π+ cannot.

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+4 votes
by kratos
 
Best answer

The decay of D0 → K− + π+ is accomplished by the exchange of W+ boson as illustrated by the Feynman diagram Fig. 10.23.

The quark composition (D0 = cu bar , K− = su bar , π+ = ud bar) is also indicated.

The favoured route for the decay is via c → *.

Hence the decay occurs via lowest order charge current weak interaction. However, for D+ → K0 + π+ the c-quark is required to decay to d-quark via W emission and the subsequent decay of W+ to π+. This would mean that the d quark in the D+ decay to an * quark in the K0 which is not possible as they both have the same charge. Furthermore the transition c → d is not favoured in the Cabibbo scheme.

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