Abstract
We consider along this section that the uncoupled unitarity relation of Eq. (13.5) can be applied, at least in good approximation, and assume that the strong interacting PWA is known.
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Notes
- 1.
If there is a difference between these two phases of \(\pi \) then just take \(-F(s)\).
- 2.
Later we discuss a specific situation when this is not the case.
- 3.
In nonrelativistic scattering we know from the Levinson theorem [17, 80] that \(\delta (0)-\delta (\infty )=(n+q/2)\pi \), where n is the number of bound states in the problem and q only applies to S-wave \((\ell =0)\), being the number of zero energy S-wave resonances. For the precise condition of this later case consider Eq. (95) of Ref. [17].
- 4.
Maybe some readers are used to consider that the form factors should only have RHC. Here we use the notation introduced in Chap. 13.
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Oller, J.A. (2019). The Omnès Solution. Reasoned Warnings on the Use of the Omnès Function. In: A Brief Introduction to Dispersion Relations. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-13582-9_14
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DOI: https://doi.org/10.1007/978-3-030-13582-9_14
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