What is the charge conjugation operator?

charge conjugation, in particle physics, an operation that replaces particles with antiparticles (and vice versa) in equations describing subatomic particles. The name charge conjugation arises because a given particle and its antiparticle generally carry opposite electric charge.

What is the charge conjugation of photon?

An N photon state therefore has charge conjugation (−1)N and a π0 meson (which has charge conjugation +1) can decay to two photons but not three, as- suming charge conjugation is an exact symmetry of electromagnetic and strong interactions.

Is charge conjugation operator Hermitian?

The operator corresponding to a particle changing into an antiparticle is Hermitian, so on that basis is permitted in the Lagrangian, but in many cases, such an operator would violate a symmetry. Clearly, an electron turning into an positron would break charge conservation, and thus the associated symmetry.

Is charge conjugation operator unitary?

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

What is charge parity conjugation?

Parity and charge conjugation are further examples. Parity is an operation which takes a vector, e.g. the space position r and reflects it through the origin to make it −r. Charge conjugation takes every particle and replaces it with its antiparticle (and vice versa).

What is G parity operator?

The G-parity operator is defined as. where. is the C-parity operator, and I2 is the operator associated with the 2nd component of the isospin “vector”. G-parity is a combination of charge conjugation and a π rad (180°) rotation around the 2nd axis of isospin space.

Which particles are eigenstates of the charge conjugation operator?

Ĉ C a = ± 1 . We thus see that the particles without distinct antiparticles are eigenstates of the charge conjugation operator Ĉ with eigenvalues Ca = ±1. The eigenvalue of Ĉ for a particular particle is called its C-parity.

What is Pauli spinor?

Spinors of the Pauli spin matrices The Pauli matrices are a vector of three 2×2 matrices that are used as spin operators. Given a unit vector in 3 dimensions, for example (a, b, c), one takes a dot product with the Pauli spin matrices to obtain a spin matrix for spin in the direction of the unit vector.

Is complex conjugate operator Hermitian?

Hermitian operators In some sense, these operators play the role of the real numbers (being equal to their own “complex conjugate”) and form a real vector space. They serve as the model of real-valued observables in quantum mechanics.

Is neutrino eigenstate of parity?

The conventional derivation of neutrino oscillation treats neutrino mass eigenstate as plane wave with an overall evolution phase. Nevertheless, due to the intrinsic parity-violating nature of weak interactions, only the left-chiral neutrino can be produced as initial condition.