Test of final state approximations using threshold $pp \to ppπ^0$

Details Test of final state approximations using threshold $pp \to ppπ^0$ Test of final state approximations using threshold $pp \to ppπ^0$

1998-12-10

arxiv.org/abs/nucl-th/9812029v1

Phys.Lett. B456 (1999) 107-112

Physics

Nuclear Physics

Nuclear Theory

9 pages, 3 figures

Scientific paper

10.1016/S0370-2693(99)00480-3

The Watson-Migdal approximation scheme to take into account final state interactions is shown to give the actual threshold momentum dependence of the reaction $pp \to pp\pi^0$. However, by an explicit plane wave replacement of the final state wave function it is stressed that not too much physical significance should be given to the proportionality coefficient extracted using this procedure. The plane wave approximation is not physically reliable even after introducing the Watson-Migdal or a more sophisticated final state interaction factor, since direct production (impulse term) is missed. Also with short range interactions there can be discrepancies of a factor two.

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