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=== Angular Distribution of Two-Body Decay ===

=== Angular Distribution of Two-Body Decay ===

Let's begin with a general amplitude for the two-body decay of a state with angular momentum quantum numbers ''J'',''m''. Specifically, we want to know the amplitude of this state having daughter 1 with trajectory <math>\Omega=(\phi,\theta)</math> in the center of mass reference frame. We can also describe the angular momentum between the daughters as being ''L'' and spin sum as ''s''. Alternatively, we will label the daughters as having helicities of <math>\lambda_1</math> and <math>\lambda_2</math> - projections on the direction of decay (specified by daughter 1)

Let's begin with a general amplitude for the two-body decay of a state with angular momentum quantum numbers ''J'',''m''. Specifically, we want to know the amplitude of this state for having daughter 1 with momentum direction <math>\Omega=(\phi,\theta)</math> in the center of mass reference frame, and helicity <math>\lambda_1</math>, while daughter 2 has direction <math>-\Omega=(\phi+\pi,\pi-\theta)</math> and helicity <math>\lambda_2</math>. 

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