{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Introductory Nuclear Physics

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
PHY431 Homework Set 9 Reading: Lecture Notes Homework: See below: Due date: Wednesday May 3 Hints and Solutions Problem IX.1 Show that the SU(2) group of continuous operators exp{ i ½ σ · α ( x )}: is unitary . has determinant 1 b. Hints: see the lecture notes Solution: no solution yet Problem IX.2 Show that the Pauli matrices have the group structure defined by [ σ i , σ j ] = 2 i ε ijk σ k . Hints: the tensor ε ijk is the fully anti-symmetric tensor under any permutation of the indices ijk . Solution: no solution yet Problem IX.3 Draw the Feynman diagram of Λ→ n + π 0 . Show all quark lines, and indicate how it differs from the figure next to equation (13.18) in the notes. . Using the Cabibbo mixing matrix, estimate the ratio of the decay amplitudes (the Feynman factors) of the processes Λ→ p + e - + f8e5ν e and n p + e - + f8e5ν e b. Hints: The ratio will be a ratio of Cabibbo mixing factors: express the quark states in their
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}