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Three-body hadronic molecules. Kanchan Khemchandani Dept. de Física, Universidade de Coimbra. The 5-th International Conference on Quarks and Nuclear Physics, Beijing , September 21 - 26, 2009.
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Three-body hadronic molecules. • Kanchan Khemchandani • Dept. de Física, Universidade de Coimbra. The 5-th International Conference on Quarks and Nuclear Physics, Beijing , September 21-26, 2009
In Collaboration with:Alberto Martinez Torres and Eulogio OsetIFIC-Univ. de Valencia, Spain
What kind of three-hadron systems? • Meson + Meson + Meson = 3M • Meson + Meson + Baryon = 2M-1B
What kind of three-hadron systems? • Meson + Meson + Meson = 3M • Meson + Meson + Baryon = 2M-1B
What kind of three-hadron systems? • Meson + Meson + Meson = 3M • Meson + Meson + Baryon = 2M-1B Attractive!!!
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: K N exotic states Whystudythem?
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: K N exotic states Whystudythem? BABAR Collaboration, Phys.Rev.D74:091103,2006, ,Phys.Rev.D76:012008,2007 BES Collaboration Phys.Rev.Lett.100:102003,2008
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: K N exotic states Whystudythem? Belle Collaboration, PRL 99 (2007) , BABAR Collaboration, PRL 95 (2005), CLEO Collaboration PRL 96 (2006), PRD 74,(2006).
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: K N exotic states Whystudythem? BES Collaboration PRL 97 (2006).
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: K N exotic states Whystudythem? Guo et al. Phys.Rev.D74:097503,2006.
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: K N exotic states Whystudythem? Belle Collaboration, PRL 99 (2007).
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: K N exotic states Whystudythem? Guo, Hanhart and Meissner, PLB 665 (2008). Eef Van Beveren, X. Liu, R.Coimbra, G.Rupp, Europhys.Lett.85 (2009)
(1)X(2175) in f0 (2) Y(4260) in J/ (3) X(1576)in K*K (4) Y(4660) in J/ (2s) (1650), (1600) in the K- p , . Suggestions: KN exotic states Whystudythem? Prakhov et. al. PRC 73 (2006), 74 (2004).
If these states couple strongly to three-hadrons It would be difficult to see them or understand their properties in other systems
If these states couple strongly to three-hadrons It would be difficult to see them or understand their properties in other systems
If these states couple strongly to three-hadrons It would be difficult to see them or understand their properties in other systems confusion !!!
137+1405 = 1542 MeV
How do we study them? • We solve the Faddeev equations in the coupled channel approach. • For the two body interactions we use chiral Lagrangians. While writing the three-body equations, we find a very INTERESTING RESULT in this case!
All other such terms Exact ANALYTIC cancellation in theSU(3) limit!!! Khemchandani, Martinez Torres, oset EJA 37 (2008); Martinez Torres, Khemchandani, oset PRD 78 (2008)
All other such terms Exact ANALYTIC cancellation in theSU(3) limit!!! Use the onshell parts of t-matrices AND neglect the3 B forces
We extend the procedure for the rest of diagrams involving more than three t-matrices
We extend the procedure for the rest of diagrams involving more than three t-matrices
We extend the procedure for the rest of diagrams involving more than three t-matrices
We extend the procedure for the rest of diagrams involving more than three t-matrices • Variables of the eqn: s, s23
Which systems did we study and what do we find? 2M-1B with S= -1
Which systems did we study and what do we find? 2M-1B with S= -1