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C parity ：ウィキペディア英語版

C parity
In physics, the C parity or charge parity is a multiplicative quantum number of some particles that describes their behavior under the symmetry operation of charge conjugation.
Charge conjugation changes the sign of all quantum charges (that is, additive quantum numbers), including the electrical charge, baryon number and lepton number, and the flavor charges strangeness, charm, bottomness, topness and Isospin (''I''₃). In contrast, it doesn't affect the mass, linear momentum or spin of a particle.
==Formalism==
Consider an operation

\mathcal

that transforms a particle into its antiparticle,
:

\mathcal C \, |\psi\rangle = | \bar \rangle.

Both states must be normalizable, so that
:

1 = \langle \psi | \psi \rangle = \langle \bar | \bar \rangle = \langle \psi |\mathcal^\dagger \mathcal C| \psi \rangle,

which implies that

\mathcal C

is unitary,
:

\mathcal C \mathcal^\dagger =\mathbf.

By acting on the particle twice with the

\mathcal

operator,
:

\mathcal^2 |\psi\rangle = \mathcal |\bar\rangle = |\psi \rangle,

we see that

\mathcal^2=\mathbf

and

\mathcal=\mathcal^

. Putting this all together, we see that
:

\mathcal=\mathcal^,

meaning that the charge conjugation operator is Hermitian and therefore a physically observable quantity.

抄文引用元・出典: フリー百科事典『ウィキペディア（Wikipedia）』
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