Five-quark components in $Δ(1232)\to Nπ$ decay

Details Five-quark components in $Δ(1232)\to Nπ$ decay Five-quark components in $Δ(1232)\to Nπ$ decay

2005-07-04

arxiv.org/abs/nucl-th/0507008v3

Phys.Rev. C73 (2006) 035201

Physics

Nuclear Physics

Nuclear Theory

accepted version

Scientific paper

10.1103/PhysRevC.73.035201

Five-quark $qqqq\bar q$ components in the $\Delta(1232)$ are shown to contribute significantly to $\Delta(1232)\to N\pi$ decay through quark-antiquark annihilation transitions. These involve the overlap between the $qqq$ and $qqqq\bar q$ components and may be triggered by the confining interaction between the quarks. With a $\sim$ 10% admixture of five-quark components in the $\Delta(1232)$ the decay width can be larger by factors 2 - 3 over that calculated in the quark model with 3 valence quarks, depending on the details of the confining interaction. The effect of transitions between the $qqqq\bar q$ components themselves on the calculated decay width is however small. The large contribution of the quark-antiquark annihilation transitions thus may compensate the underprediction of the width of the $\Delta(1232)$ by the valence quark model, once the $\Delta(1232)$ contains $qqqq\bar q$ components with $\sim$ 10% probability.

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