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Investigating Super-Radiance and the Width of Exotic Baryons in High-Level Nuclear States

This study explores the phenomenon of super-radiance in nuclear physics, particularly focusing on exotic baryons and resonant spectra in nuclei far from stability. The work highlights the interaction dynamics of identical two-level atoms leading to collective decay and self-organization, drawing parallels with Dicke coherent states. We investigate the width of narrow resonances and broad superradiant states, using an effective Hamiltonian model to analyze scattering matrices and decay amplitudes. Supported by NSF and the US-Israel Binational Science Foundation.

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Investigating Super-Radiance and the Width of Exotic Baryons in High-Level Nuclear States

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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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