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I D meson decay and invariant mass

  1. May 10, 2017 #1
    Considering a D0->π+K- where the D meson decays from rest.

    If one was to want to calculate the invariant mass of the D meson by measuring the momenta of the pion and kaon, following from conservation of momentum:

    m2=(Eπ+EK)2-(pπ+pK)2

    However by inputting numerical data
    Eπ=137MeV
    EK=493MeV
    ED=1865MeV

    As such, since p2 is some positive quantity it can only reduce the invariant mass, and as the D meson started at rest the invariant mass should be equal to the rest mass:

    (137+493)2<<18652

    Clearly there is a flaw in my understanding, I'm simply not sure where, and any help would be highly appreciated.
     
  2. jcsd
  3. May 10, 2017 #2

    Orodruin

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    These are the masses of the pi and K, not their energies.
     
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