Low-lying $s=+1$ Pentaquark states in the Inherent Nodal Structure Analysis

Details Low-lying $s=+1$ Pentaquark states in the Inherent Nodal Structure Analysis Low-lying $s=+1$ Pentaquark states in the Inherent Nodal Structure Analysis

2004-01-25

arxiv.org/abs/hep-ph/0401197v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 2 figures, 4 tables. Revised version with detailed description, expanded discussion and reference for the geometric

Scientific paper

10.1142/S0217751X0502375X

The strangeness $s=+1$ pentaquark states as $qqqq\bar{q}$ clusters are investigated in this letter. Starting from the inherent geometric symmetry, we analyzed the inherent nodal structure of the system. As the nodeless states, the low-lying states are picked out. Then the S-wave state $(J^P, T)= ({{1/2}}^{-}, 0)$ and P-wave state $(J^P, T)= ({{1/2}}^{+}, 0)$ may be the candidates of low-lying pentaquark states. By comparing the accessibility of the two states and referring the presently obtained K-N interaction potential, we propose that the quantum numbers of the observed pentaquark state $\Theta^{+}$ may be $(J^P, T)=({{1/2}}^{+}, 0)$ and L=1.

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