Other Possible Colliding Particles

It is possible that the photon/particles suffer a time axis swap after the collision, in which case to obtain the correct colliding photon, the time axes on the present photons are swapped.

From the case of $\beta^{+}$ decay, the colliding photon is,

where $t_g\leftrightarrow t_c$ from a $P_{g^{+}}$ particle.  This is a $P_{e^{-}}$, an electro-magnetic wave.  The radioactive decay after the collision is,

where a time axis swap results in the expected $g^{+}$ particle.

And in the case of $\beta^{-}$ decay, the colliding photon is,

where $t_T\leftrightarrow t_c$ from a $P_{p^{+}}$ particle.  This is a $P_{T^{-}}$ photon or a magnetic-gravito wave.  The radioactive decay is then,

where a time axis swap produces the $p^{+}$ particle as expected.

Which are the actual photon pair involved in $\beta$ decay?