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Protons are converted into neutrons during positron emission to satisfy certain conservation laws, like charge and baryon number.

The following reaction takes place during positron emission:

p+ --> n + e+ + ve, where p+ is a proton, n is a neutron, e+ is a positron (antielectron), and ve is an electron neutrino.

Charge is +1 on both sides of the reaction, and so is conserved.

Baryonic number is 1 on both sides of the reaction (both the p+ and the n have baryonic numbers of 1), and so is conserved.

Also, lepton number is 0 on both sides of the reaction (e+ has a lepton number of -1 while ve has one of +1, thus adding up to zero), and so is conserved.

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