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Parity inversion P amounts to the sign flip of an odd number of coordinates (reflection). A parity-symmetric theory conserves P; since P²=I, the eigenvalues of P are 1 or -1. May be also used for formally analogous global, discrete, Z₂ symmetries, such as R- or G-parity.
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How can scalar mesons have even parity?
From my understanding a pseudo-scalar meson has:
$$J^P=0^-$$
That makes sense since the total spin $S=0$ and $l$ must be $l=0$ which makes the parity:
$$ P=(-1)^{l+1}=-1 $$
uneven. … Now, for scalar mesons the parity is even. If $S=0$, then to make the parity even $l=1$, but that violates the fact $J=l+S=0$ ? …