Collision of Nuclie: Effects & Particles Created

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what can happen if two nuclie are collided? what subparticles would be created?
 
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depends how much energy they have , Just as long as their is enough total energy to produce the rest energy of the new particles created, And all the conservation laws are met , like spin , charge ... ect.
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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