I Equation which is related with the Lorentz invariant quantities

Dhmht_Kr
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Hi every one.How can i prove the below equation?
1673533140505.png

And then that it's Lorentz invariant quantitude ?
Thanks for your help
 
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Thread 'Why is there such a difference between the total cross-section data? (simulation vs. experiment)'

Well, I'm simulating a neutron-proton scattering phase shift. The equation that I solve numerically is the Phase function method and is $$ \frac{d}{dr}[\delta_{i+1}] = \frac{2\mu}{\hbar^2}\frac{V(r)}{k^2}\sin(kr + \delta_i)$$ ##\delta_i## is the phase shift for triplet and singlet state, ##\mu## is the reduced mass for neutron-proton, ##k=\sqrt{2\mu E_{cm}/\hbar^2}## is the wave number and ##V(r)## is the potential of interaction like Yukawa, Wood-Saxon, Square well potential, etc. I first...
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