O ct 1 99 8 Final state interaction in near - threshold meson production ∗
نویسنده
چکیده
It was predicted by Watson and Migdal [1] that close to threshold the energy dependence of the cross section is dominated by the Final State Interaction (FSI). Within the Watson-Migdal approximation the transition amplitude is factorized in terms of the production and FSI amplitudes. Further study were performed by Gottfried and Jackson [2] with introduction the absorptive correction to the Born amplitude due to the initial and FSI. Here we address the question what information, other than the FSI parameters , one can extract from data on near-threshold meson production. As was first proposed by Gell-Mann and Watson [3] the near-threshold energy dependence of the pp → ppπ 0 cross section is well reproduced by the Phase-Space (PS) basis and the FSI. Within the nonrelativistic limit the PS for n-particles is proportional to ǫ (3n−5)/2 , where ǫ stands for the excess energy and equals to the difference between the invariant collision energy and the total mass of the produced particles. At the range 0 ≤ ǫ ≤ 100 MeV the cross section for 3-particle production might increase 4 orders of magnitude due to the PS only. Let us to analyze not the cross section itself but the average reaction amplitude given as
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تاریخ انتشار 1998