Why does a pulsar star have sudden burst of X-rays and EM energy? Is there an energy build up and release?

No. It is based on the rotation of the star. Think of it as a lighthouse.As the star rotates a beam of energy is flung out.

It passes us like the sweep of a lighthouse and so we see it as a pulse. Hence the name Pulsar for neutron stars that spin giving off electromagnetic radiation - and light.

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