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Chinese Physics C> 2009, Vol. 33> Issue(12) : 1267-1272 DOI: 10.1088/1674-1137/33/12/036

An explanation of the ΔD35(1930) as a ρΔ bound state

  • Constituent quark models based on two-body potentials systematically overpredict the mass of ΔD35(1930). A possible solution to this problem comes out from the application of a schematic hybrid model, containing three-quark as well as meson-baryon components, to the light-quark baryon spectrum. The ΔD35(1930) and its partners ΔD33(1940) and ΔS31(1900) are found to contain a significant ρΔ component. Then, through the use of the hidden gauge formalism, it is shown that these resonances can be dynamically generated from the ρ-Δ interaction. In particular ΔD35(1930) can be interpreted as being essentially a ρΔ bound state. This interpretation suggests that the inclusion of ρΔ as an effective inelastic channel in data analyses could improve the extraction and identification of the resonance.

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E. Oset and J. Vijande. An explanation of the ΔD35(1930) as a ρΔ bound state[J]. Chinese Physics C, 2009, 33(12): 1267-1272. doi: 10.1088/1674-1137/33/12/036
E. Oset and J. Vijande. An explanation of the ΔD35(1930) as a ρΔ bound state[J]. Chinese Physics C, 2009, 33(12): 1267-1272.  doi: 10.1088/1674-1137/33/12/036 shu
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Received: 2009-08-07
Revised: 1900-01-01
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An explanation of the ΔD35(1930) as a ρΔ bound state

  • Received Date: 2009-08-07
  • Accepted Date: 1900-01-01
  • Available Online: 2009-12-05

Abstract: 

Constituent quark models based on two-body potentials systematically overpredict the mass of ΔD35(1930). A possible solution to this problem comes out from the application of a schematic hybrid model, containing three-quark as well as meson-baryon components, to the light-quark baryon spectrum. The ΔD35(1930) and its partners ΔD33(1940) and ΔS31(1900) are found to contain a significant ρΔ component. Then, through the use of the hidden gauge formalism, it is shown that these resonances can be dynamically generated from the ρ-Δ interaction. In particular ΔD35(1930) can be interpreted as being essentially a ρΔ bound state. This interpretation suggests that the inclusion of ρΔ as an effective inelastic channel in data analyses could improve the extraction and identification of the resonance.

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