- #1
Daaavde
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I'm stucked in a passage of Particle Physics (Martin B., Shaw G.) in page 41 regarding neutrino oscillations.
Having defined [itex]E_i[/itex] and [itex]E_j[/itex] as the energies of the eigenstates [itex]\nu_i[/itex] and [itex]\nu_j[/itex], we have:
[itex]E_i - E_j = \sqrt{m^2_i - p^2} - \sqrt{m^2_j - p^2} \approx \frac{m^2_i - m^2_j}{2p}[/itex]
It can be useful to know that here natural units are used ([itex]c=1[/itex]) and that the masses of the neutrino are considered much smaller than their momenta ([itex]m << p[/itex])
Still, I can't understand where the [itex]\frac{m^2_i - m^2_j}{2p}[/itex] comes from.
Does anyone have any idea?
Having defined [itex]E_i[/itex] and [itex]E_j[/itex] as the energies of the eigenstates [itex]\nu_i[/itex] and [itex]\nu_j[/itex], we have:
[itex]E_i - E_j = \sqrt{m^2_i - p^2} - \sqrt{m^2_j - p^2} \approx \frac{m^2_i - m^2_j}{2p}[/itex]
It can be useful to know that here natural units are used ([itex]c=1[/itex]) and that the masses of the neutrino are considered much smaller than their momenta ([itex]m << p[/itex])
Still, I can't understand where the [itex]\frac{m^2_i - m^2_j}{2p}[/itex] comes from.
Does anyone have any idea?