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“Super-radiance” and the width of exotic baryons

“Super-radiance” and the width of exotic baryons. N. Auerbach V. Zelevinsky A. Volya. This work is supported by NSF grant PHY-0244453 and in part by a grant from the US-Israel Binational Science Foundation. Superradiance, collectivization by decay. Analog in nuclei Interaction via continuum

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“Super-radiance” and the width of exotic baryons

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  1. “Super-radiance” and the width of exoticbaryons N. Auerbach V. Zelevinsky A. Volya This work is supported by NSF grant PHY-0244453 and in part by a grant from the US-Israel Binational Science Foundation.

  2. Superradiance, collectivization by decay Analog in nuclei Interaction via continuum Trapped states ) self-organization Dicke coherent state N identical two-level atoms coupled via common radiation • g~ D and few channels • Nuclei far from stability • High level density (states of • same symmetry) • Far from thresholds Volume ¿3

  3. Superradiance in resonant spectra Narrow resonances and broad superradiant state in 12C D Pentaquark as a possible candidate for superradiance Bartsch et.al. Eur. Phys. J. A 4, 209 (1999) Stepanyan et.al. hep-ex/0307018

  4. Two interacting resonances

  5. Q+ pentaquark as a two-state interference Effective Hamiltonian

  6. Poles of scattering matrix • Decay Amplitudes, considering Kn scattering Consider scattering on a square well potential 1 fm size, depth adjusted to resonant energy

  7. Decay Amplitude • Near threshold (small) width parameterization (l>0) Parameterization - cutoff at high energy

  8. Scattering and cross section near threshold Scattering Matrix Solution in two-level model Cross section

  9. Kn scattering crossection • Sensible parameters • under requirement • Resonant energy Er=1540 MeV • Kn threshold energy • Width of broad peak • e1 =1535 MeV • g1(Er) =120 MeV • e2 =1560 MeV • g2(Er) =60 MeV • v=1 MeV • L=300 (green), 500 (red) MeV

  10. Summary • Hamiltonian picture • Projection formalism (exclusion of continuum) • Exact diagonalization • Conservation laws • Unitarity • Continuum coupling and reaction problem • Near-threshold behavior To appear in Phys. Lett. B.; available at http://arxiv.org/ paper nucl-th/0310029

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