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Three-body Hadron Resonances

Alberto Martínez Torres

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Abstract

We have studied different three-body hadron systems using the Faddeev equations combined with Unitary Chiral Dynamics in a coupled channel approach.In the strangeness S = -1 sector, we have solved the equations for the π KN system and its coupled channels and we report four Σ's and two Λ's, in the 1500 -1800 MeV region, as two meson-one baryon S-wave 1/2 + resonances.For the S = 0 sector, we find resonances in the ππN system at energies 1704 -i375/2 MeV, 2080 -i54/2 MeV with total isospin 1/2 and at 2126-i42/2 MeV with total isospin 3/2.All of them have J π = 1/2 + .We identify these states with the N * (1710), the N * (2100) and the ∆(1910), respectively, listed by the PDG.Apart from these, we obtain a peak with isospin 1/2 at an energy of 1920 MeV with Na 0 (980) and N f 0 (980) as its structure.We have also studied the three meson systems φ K K, φ ππ and found dynamical generation of a resonance with φ f 0 (980) structure, J PC = 1 --and a mass around 2150 MeV, which can be identified with the X(2175) resonance.

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We have studied different three-body hadron systems using the Faddeev equations combined with Unitary Chiral Dynamics in a coupled channel approach.In the strangeness S = -1 sector, we have solved the equations for the π KN system and its coupled channels and we report four Σ's and two Λ's, in the 1500 -1800 MeV region, as two meson-one baryon S-wave 1/2 + resonances.For the S = 0 sector, we find resonances in the ππN system at energies 1704 -i375/2 MeV, 2080 -i54/2 MeV with total isospin 1/2 and at 2126-i42/2 MeV with total isospin 3/2.All of them have J π = 1/2 + .We identify these states with the N * (1710), the N * (2100) and the ∆(1910), respectively, listed by the PDG.Apart from these, we obtain a peak with isospin 1/2 at an energy of 1920 MeV with Na 0 (980) and N f 0 (980) as its structure.We have also studied the three meson systems φ K K, φ ππ and found dynamical generation of a resonance with φ f 0 (980) structure, J PC = 1 --and a mass around 2150 MeV, which can be identified with the X(2175) resonance.

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Available abstract

We have studied different three-body hadron systems using the Faddeev equations combined with Unitary Chiral Dynamics in a coupled channel approach.In the strangeness S = -1 sector, we have solved the equations for the π KN system and its coupled channels and we report four Σ's and two Λ's, in the 1500 -1800 MeV region, as two meson-one baryon S-wave 1/2 + resonances.For the S = 0 sector, we find resonances in the ππN system at energies 1704 -i375/2 MeV, 2080 -i54/2 MeV with total isospin 1/2 and at 2126-i42/2 MeV with total isospin 3/2.All of them have J π = 1/2 + .We identify these states with the N * (1710), the N * (2100) and the ∆(1910), respectively, listed by the PDG.Apart from these, we obtain a peak with isospin 1/2 at an energy of 1920 MeV with Na 0 (980) and N f 0 (980) as its structure.We have also studied the three meson systems φ K K, φ ππ and found dynamical generation of a resonance with φ f 0 (980) structure, J PC = 1 --and a mass around 2150 MeV, which can be identified with the X(2175) resonance.

Key concepts: Hadron, Physics, Computer science, Nuclear physics

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