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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  • [1] . Amsler C et al (Particle Data Group). Phys. Lett. B, 2008,667: 12. Cutkosky R E, Hendrick R E, Kelly R L. Phys. Rev. Lett.,1976, 37: 6453. Dalitz R H, Horgan R R, Reinders L J. J. Phys. G, 1977,3: L1954. Bowler K C, Corvi P J, Hey A J G, Jarvis P D. Phys. Rev.Lett., 1980, 45: 97; Corvi P J. Phys. Lett. B, 1981, 101:3495. Isgur N, Karl G. Phys. Lett.B, 1977, 72: 109; Phys. Rev.D, 1979, 19: 26536. Capstick S, Isgur N. Phys. Rev. D, 1986, 34: 28097. Capstick S, Roberts W. Prog. Part. Nucl. Phys., 2000, 45:S241; nucl-th/0008028, and references therein8. Groom D et al (PDG). Eur. Phys. J. C, 15: 748, and refer-ences therein; Magas V K, Oset E , Ramos A. Phys. Rev.Lett., 2005, 95: 0523019. Cutkosky R E, Forsyth C P, Babcock J B, Kelly R L, Hen-drick R E. Proceedings of the IV Intenational Conferenceon Baryon Resonances (Baryon 1980), edited by Isgur N,Toronto 198010. Manley D M, Saleski E M. Phys. Rev. D, 1992, 45: 400211. Arndt R A, Briscoe W J, Stravosky I I, Workman R L.Phys. Rev. C, 2006, 74: 04520512. Desplanques B, Gignoux C, Silvestre-Brac B, González P,Navarro J, Noguera S. Z. Phys. A, 1992, 343: 331; BijkerR, Iachello F, Leviatan A. Ann. Phys., 1994, 236: 6913. González P, Vijande J, Valcarce A. Phys. Rev. C, 2008,77:06521314. Matsuyama A, Sato T, Lee T-S H. Phys. Rep., 2007, 439:193. and references therein; Juliá-Díaz B, Lee T-S H, Mat-suyama A, Sato T, Phys. Rev. C, 2007, 76: 06520115. Oset E et al. Proceedings of the International Workshopon E ective Field Theories: from the pion to the upsilon.February 2009, Valencia (Spain); arXiv:0903.2949 [nucl-th]16. González P, Oset E, Vijande J. Phys. Rev. C, 2009, 79:02520917. Oller J A, Meissner U G. Phys. Lett. B, 2001, 500: 263
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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

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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