Three-body hadronic molecules

  • In this talk, I discuss our recent studies of three-hadron systems and the resonances found therein. The studies consist of solving Faddeev equations with the input two body interactions obtained from the chiral Lagrangians. The systems which we study are either
    made of two mesons and a baryon or of three mesons. The motivation for these studies comes from the data on many baryon resonances, especially the ones with Jπ= 1/2+, which show a large branching ratio to the two meson-one baryon decay channels. In addition to this, several new studies at BES, BELLE, BABAR etc., claim the existence of new meson resonances which seem to couple strongly to three-meson systems, where mostly two out of the three mesons appear as a known resonance. Hitherto, we have studied two meson-one baryon systems with strangeness = -1, 0 and 1 and three-meson systems made of two-pseudoscalars and a vector meson.As we will show in this manuscript, we find many resonances which couple to three-hadrons.

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  • [1] . YAO W M et al. J. Phys. G, 2006, 33: 12. Isgur N, Karl G. Phys. Rev. D, 1978, 18: 41873. Isgur N, Karl G. Phys. Rev. D, 1979, 19 : 2653; 1981, 23:8174. Glozman L Y, Riska D O. Phys. Rept., 1996, 268 2635. Prakhov S et al. Phys. Rev. C, 2004, 69: 0422026. Prakhov S et al (Crystall Ball collaboration). Phys. Rev.C, 2004, 70: 0346057. Aubert B et al (BABAR collaboration). Phys. Rev. D,2006, 74: 091103; Phys. Rev. D, 2007, 76: 012008; Ab-likim M et al (BES collaboration). Phys. Rev. Lett. 2008,100: 1020038. Aubert B et al (BABAR collaboration). Phys. Rev. Lett.,2005, 95: 142001; Coan T E et al (CLEO collaboration).Phys. Rev. Lett., 2006, 96: 162003; HE Q et al (CLEOcollaboration). Phys. Rev. D, 2006, 74: 091104; YUAN CZ et al (Belle collaboration). Phys. Rev. Lett., 2007, 99:1820049. WANG X L et al (Belle collaboration). Phys. Rev. Lett.,2007, 99: 14200210. Ablikim M et al (BES collaboration). Phys. Rev. Lett.,2006, 97: 14200211. Weinberg S. Phys. Rev., 1968, 166: 1568; Bernard V,Kaiser N, Meissner N G. Int. J. Mod. Phys. E, 1995, 4:193; Ecker G. Prog. Part. Nucl. Phys., 1995, 35: 112. Oset E, Ramos A. Nucl. Phys. A, 1998, 635: 9913. Inoue T, Oset E, Vicente Vacas M J. Phys. Rev. C, 2002,65: 03520414. Oller J A, Oset E. Nucl. Phys. A, 1997, 620: 438; 1999,652: 40715. Martinez Torres A, Khemchandani K P, Oset E. Phys. Rev.C, 2008, 77 : 04220316. Martinez Torres A, Khemchandani K P, Oset E. Eur. Phys.J. A, 2008, 35: 295; Khemchandani K P, Martinez TorresA, Oset E. Few Body Syst., 2008, 44 : 14517. Khemchandani K P, Martinez Torres A, Oset E. Eur. Phys.J. A, 2008, 37: 23318. Martinez Torres A et al. Phys. Rev. D, 2008, 78: 07403119. Martinez Torres A, Khemchandani K P, Oset E. Phys. Rev.C, 2009, 79: 06520720. Khemchandani K P, Martinez Torres A, Oset E. Phys. Lett.B, 2009, 675: 40721. Inoue T, Oset E. Vicente Vacas M J. Phys. Rev. C, 2002,65: 03520422. Martinez Torres A, Khemchandani K P, Meissner U G, OsetE. Eur. Phys. J. A, 2009, 41: 36123. Nakano T et al (LEPS collaboration). Phys. Rev. Lett.,2003, 91: 01200224. Bernard V, Kaiser N, Meissner U G. Int. J. Mod. Phys. E,1995, 4: 19325. Bicudo P, a Marques G M. Phys. Rev. D, 2004, 69: 01150326. Llanes-Estrada F J, Oset E, Mateu V. Phys. Rev. C, 2004,69: 05520327. Napsuciale M, Oset E, Sasaki K, Vaquera-Araujo C A.Phys. Rev. D, 2007, 76: 074012; Gomez-Avila S, Napsu-ciale M, Oset E. Phys. Rev. D, 2009 , 79 : 03401828. Coito S, Rupp G, everen E Van. Phys. Rev. D, 2009, 80:09401129. Alvarez-Ruso L, Oller J A, Alarcon J M. Phys. Rev. D,2009, 80 : 05401130. Martinez Torres A, Khemchandani K P, Gamermann D,Oset E. Phys. Rev. D, 2009, 80: 094012
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Martinez Torres. Three-body hadronic molecules[J]. Chinese Physics C, 2010, 34(9): 1286-1289. doi: 10.1088/1674-1137/34/9/025
Martinez Torres. Three-body hadronic molecules[J]. Chinese Physics C, 2010, 34(9): 1286-1289.  doi: 10.1088/1674-1137/34/9/025 shu
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Received: 2010-02-09
Revised: 1900-01-01
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Three-body hadronic molecules

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In this talk, I discuss our recent studies of three-hadron systems and the resonances found therein. The studies consist of solving Faddeev equations with the input two body interactions obtained from the chiral Lagrangians. The systems which we study are either
made of two mesons and a baryon or of three mesons. The motivation for these studies comes from the data on many baryon resonances, especially the ones with Jπ= 1/2+, which show a large branching ratio to the two meson-one baryon decay channels. In addition to this, several new studies at BES, BELLE, BABAR etc., claim the existence of new meson resonances which seem to couple strongly to three-meson systems, where mostly two out of the three mesons appear as a known resonance. Hitherto, we have studied two meson-one baryon systems with strangeness = -1, 0 and 1 and three-meson systems made of two-pseudoscalars and a vector meson.As we will show in this manuscript, we find many resonances which couple to three-hadrons.

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