How adding zero to the complex relation between production and scattering amplitudes found by van Beveren and Rupp gives the expected real relation

Details How adding zero to the complex relation between production and scattering amplitudes found by van Beveren and Rupp gives the expected real relation How adding zero to the complex relation between production and scattering amplitudes found by van Beveren and Rupp gives the expected real relation

2007-11-22

arxiv.org/abs/0711.3521v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages, 1 figure

Scientific paper

If a hadronic production process is dominated by two body final state interactions, the amplitude $A$ for the production process can be expanded as a sum of the scattering amplitudes $T$ for the relevant two body channels. Van Beveren and Rupp have claimed that the unitarity relation ${\rm {Im}} A= T^\dag A$ can be satisfied if the coefficients in this expansion are complex. We demonstrate that the coefficients have to be real if the scattering amplitudes $T$ satisfy unitarity. Van Beveren and Rupp have merely written real coefficients as a sum of complex numbers.

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