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I have a fundamental question about breaking the Hamiltonian. Here is the description:

Suppose a particle, [itex]\lambda^{0}[/itex], is produced in a high energy nuclear collision with proton beam. It is produced by strong interaction, and it has fixed energy (can be obtained from its momentum and mass). Its propagation with time is given by unitary operator.

[itex]\hat{U}[/itex](t, 0) = exp(-i[itex]\hat{H}[/itex]t)

The momentum that it got is created by physics involving strong interaction during the collision. So, the Hamiltonian is Strong Hamiltonian, [itex]\hat{H}_{S}[/itex].

This [itex]\lambda^{0}[/itex] decays via weak interaction. I have seen in books that its Hamiltonian can be break into strong, electromagnetic and weak part, [itex]\hat{H} = \hat{H}_{S} + \hat{H}_{EM} + \hat{H}_{W}[/itex]. How other Hamiltonians come here?

Thanks.

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# Breaking Hamiltonian of a particle

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