Quantum Barrier Penetration

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Presentation transcript:

Quantum Barrier Penetration 1D~exp(r-r0]) 3D: ~exp(r-r0])/r =[U-E]1/2 ~ U1/2. Gamov factor EG(pp)=500KeV Classical suppression e(-E/U) ~ e-1000. Quantum suppression Exp[-(500)1/2]

Barrier Penetration Classical Turning point r1. E=e2/r1.

Thermal Distribution x Gamow Penetration Factor

Weak Interactions in pp S0 factor Consider time two protons are within 1fm of each other Compare with n half life of 13 min S0 is small Each proton waits 20 Billion years to fuse with another (Astrophysics in a Nutshell, Eq 3.136) The sun can burn for billions of years at its current luminosity