Properties of pions in (Ä) operations
Properties of pions in (Å) operations
1) [ π ± = ( u ⊗ _ d ) ]
2) ( π ) 0 = [ ( π + ) ⊗ _ ( π − ) ] = [ ( u ⊕ d _ ) ⊗ _ ( u _ ⊕ d _ ) ] = [ ( π + ) ⊗ ( π − ) ] − [ ( u ⊕ u _ ) ⊗ ( d ⊕ d _ ) ]
3) ( π ± ) 0 = [ ( π + ) ⊗ ( π − ) ] virtual neutral pion
4) m [ ( π + ) ⊗ ( π − ) ] = ( π ± ) 0 = m ( π ± ) Equation (11)
5) m ( π + ⊗ π + ) = m ( π + )
6) m ( π + ⊗ π − ) = 〈 m ( π + ) , m ( π − ) 〉
7) { Δ m ( π ) = [ m ( π ± ) − m ( π 0 ) ] } = ( 4.59 ) MeV
8) [ ( π 1 ± ⊗ π 2 ± ) ⊕ π 3 ± ]
→ Δ m ( π i ± ⊗ π j ± ) ⊕ = Δ m ( π j ± )
4) m ( π + ⊕ π − ) = m ( π + ) + m ( π − )
5) { ( π r 0 ) = ( π + ⊕ π − ) } ; m ( π r 0 ) = 2 m ( π ± )
6) F m [ ( π + ⊗ π − ) ⊕ ( π + ⊗ π − ) ] = F m [ 2 ( π ± ) 0 ]
7) Δ m [ ( π 1 ± ⊕ π 2 ∓ ) ⊗ π 0 ] = Δ m [ ( π 1 ± ⊕ π 2 ∓ ) π 0 ]