Open AccessON THE ANGULAR DISTRIBUTION OF THE DECAY PRODUCTS OF PARTICLE OF ARBITRARY SPIN
Author(s) -
J M Chen,
T. H. Ho,
D C San,
H.Y. Tzu
Publication year - 1959
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.15.254
Subject(s) - physics , parity (physics) , hamiltonian (control theory) , spherical harmonics , distribution function , quantum mechanics , quantum electrodynamics , mathematics , mathematical optimization
The angular distribution of the decay products of particle of arbitrary spin decaying into a particle of spin zero and a particle of spin 1/2 is investigated. The expressions for the expansion coefficients are derived. It is found that coeffieients of terms of even order spherical harmonics are independent of the detailed form of the interaction Hamiltonian inducing the decay process. But the expansion coefficients of terms of odd order spherical harmonics depend on a parameter α, which is a measure of the interference between the parity conserving and the parity nonconserving interaction. The maximum values which can be taken by the various coefficients are given. It is found that the maximum values of the even coefficients increase with the value of the spin of the initial particle, while those of the odd coefficients decrease correspondingly. The expression for the density matrix of the initial particle as a function of these expansion coefficients is also given which can be used to determine the state of polarization of the initial particle and the interference between the parity conserving and parity nonconserving interactions, when the expansion coefficients are known.