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It has been argued that because quark exchange between the clusters corresponds to a quark-antiquark exchange process in the crossed channel, there could be some overlap with the direct meson exchange interaction between quarks belonging to different clusters. However, it has previously been shown that for scalar (Formula presented) and pseudoscalar (Formula presented) meson exchanges between quarks, the quark exchange diagrams can be added to the direct intercluster meson exchange diagrams without danger of double counting 51 52
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It has been argued that because quark exchange between the clusters corresponds to a quark-antiquark exchange process in the crossed channel, there could be some overlap with the direct meson exchange interaction between quarks belonging to different clusters. However, it has previously been shown that for scalar (Formula presented) and pseudoscalar (Formula presented) meson exchanges between quarks, the quark exchange diagrams can be added to the direct intercluster meson exchange diagrams without danger of double counting 51. Also in a field-theoretical description of (Formula presented) scattering in the quark model using Low’s equations one finds that the two-quark exchange diagrams can be clearly distinguished from the colorless (Formula presented) (meson) exchange diagrams 52.
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We do not attempt to justify this rather large factor of three here. This is clearly an artefact of the harmonic oscillator confinement model and should be taken with some caution in other applications. We expect that (Formula presented) will be substantially smaller for more realistic confinement models
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We do not attempt to justify this rather large factor of three here. This is clearly an artefact of the harmonic oscillator confinement model and should be taken with some caution in other applications. We expect that (Formula presented) will be substantially smaller for more realistic confinement models.
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