ar X iv : h ep - p h / 96 05 39 9 v 1 2 6 M ay 1 99 6 Lambda Oscillations and the Conservation Laws
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چکیده
der the assumption that secondary decay vertices exhibit amplitude interference at fixed space-time points) that for π − + p + → Λ + K 0 Lambda oscillations disappear. Under the same assumption, we find that conservation of energy and conservation of momentum also disappear. Quantum oscillations occur for quite ordinary particles for reasons which are discussed. In two particle " in " and two particle " out " scattering, for which π − + p + → Λ + K 0 , (1a) is a special case, there is a well known theorem that the spatial wave functions (for fixed total energy and fixed total momentum) factor into a product of wave functions; one for the " center of mass coordinate " R, and one for the " relative coordinate " r, Ψ total (r 1 , r 2) = φ(R)ψ(r). (1b) Discrete quantum numbers are left implicit. While the wave function φ(R) is in principle a " wave packet " , it is still conventional to use a plane wave in a very big box and write φ(R) = exp{i(P total ·R)/¯ h}. It is also usual to work in the center of mass frame in which case P total = 0. This convention will be followed below. Hence, in the center of mass frame P total = 0 (and for the moment neglecting life time effects), the conservation laws of energy and momentum dictate for Eqs.(1) that the " in " wave function is given by
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ar X iv : h ep - p h / 96 05 28 2 v 1 1 1 M ay 1 99 6 TWO TOPICS IN PARTICLE - ANTIPARTICLE MIXING
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تاریخ انتشار 1996