Kern- und Teilchenphysik - Blatt 8

<< Graphics`Graphics`

4. Aufgabe

h = 6.626076 10^(-34); 
    hbar = h/(2 π); τ = 1.5 10^(-12); 
    em = 1.602177 10^(-19); c0 = 3 10^8; l = 0.2 10^(-3); 
    mB = 5.28 10^9; mY = 10.58 10^9; me = 0.5109989 10^6;

v = Sqrt[1/((τ/l)^2 + 1/c0^2)]

vB = 1.2184153981603427`*^8/c0

γB = Sqrt[1/(1 - v^2/c0^2)]

pB = γB mB v/c0

Ekin = (γB - 1) mB

EY4s = 2 Ekin + 2 mB

Solve[
      pB  (EY4salt /vB - Sqrt[EY4salt^2 - mY^2]) == 1/2 mY^2, 
      EY4salt]

EYnew = 1.1310268539816336`*^10;

pY1 = Sqrt[EY4s^2 - mY^2 ]

pY = Sqrt[(1.1310268539816336 10^10)^2 - mY^2 ]

EYKin = 1.1310268539816336`*^10 - mY

Solve[EYnew Eeplus - pY Sqrt[Eeplus^2 - me^2] == 1/2 mY^2, 
      Eeplus]

Solve[EYnew Eeplus + pY Sqrt[Eeplus^2 - me^2] == 1/2 mY^2, 
      Eeplus]