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

Abstract

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.

arXiv comment15 pages, 2 figures, 4 tables. Revised version with detailed description, expanded discussion and reference for the geometric configuration to be proposed being added

References in corpus (27)

• Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
• Diquarks and Exotic Spectroscopy
• Exotic Anti-Decuplet of Baryons: Prediction from Chiral Solitons
• Observation of an Exotic $S=+1$ Baryon in Exclusive Photoproduction from the Deuteron
• Observation of a baryon resonance with positive strangeness in K+ collisions with Xe nuclei
• Evidence for the positive-strangeness pentaquark ${\Theta }^{+}$ in photoproduction with the SAPHIR detector at ELSA
• Observation of an Exotic Baryon with S=+1 in Photoproduction from the Proton
• Evidence for a narrow |S|=1 baryon state at a mass of 1528 MeV in quasi-real photoproduction
• A Diquark-Triquark Model for the KN Pentaquark
• Evidence for a narrow resonance at 1530 MeV/c2 in the K0 p - system of the reaction pp --> Sigma+ K0 p from the COSY-TOF experiment
• Understanding Pentaquark States in QCD
• Lattice study of exotic S=+1 baryon
• Quark Delocalization, Color Screening and Dibaryons
• Pentaquark in the Skyrme Model
• A schematic model for pentaquarks based on diquarks
• Penta-quark baryon from the QCD Sum Rule
• Z^* Resonances: Phenomenology and Models
• Are ${\Theta }^{+}$ and the Roper resonance diquark-diquark-antiquark states?
• ${\Theta }^{+}$ in a chiral constituent quark model and its interpolating fields
• Systematics of Exotic Cascade Decays
• A study of pentaquark $\Theta$ state in the chiral SU(3) quark model
• H dibaryon in the QCD sum rule
• Lattice Study of the $H$ Dibaryon
• Instanton induced quark dynamics and the pentaquark
• Width of the J^P=1/2^+ pentaquark in the quark-diquark model
• Deduction of the quantum numbers of low-lying states of 6-nucleon systems based on symmetry
• Deduction of the quantum numbers of low-lying states of 4-nucleon systems based on symmetry