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Nuclear Theory

arXiv:1602.06761 (nucl-th)
[Submitted on 22 Feb 2016 (v1), last revised 24 May 2016 (this version, v2)]

Title:Excited hadrons and the analytical structure of bound-state interaction kernels

Authors:Bruno El-Bennich, Gastão Krein, Eduardo Rojas, Fernando E. Serna
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Abstract:We highlight Hermiticity issues in bound-state equations whose kernels are subject to a highly asymmetric mass and momentum distribution and whose eigenvalue spectrum becomes complex for radially excited states. We trace back the presence of imaginary components in the eigenvalues and wave functions to truncation artifacts and suggest how they can be eliminated in the case of charmed mesons. The solutions of the gap equation in the complex plane, which play a crucial role in the analytic structure of the Bethe-Salpeter kernel, are discussed for several interaction models and qualitatively and quantitatively compared to analytic continuations by means of complex-conjugate pole models fitted to real solutions.
Comments: Proceeding of the ECT* workshop "Nucleon Resonances From Photoproduction to High Photon Virtualities", talk given by B.E.; 8 pages, 2 figures with 6 graphs
Subjects: Nuclear Theory (nucl-th); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)
Cite as: arXiv:1602.06761 [nucl-th]
  (or arXiv:1602.06761v2 [nucl-th] for this version)
  https://doi.org/10.48550/arXiv.1602.06761
Related DOI: https://doi.org/10.1007/s00601-016-1133-x

Submission history

From: Bruno El-Bennich [view email]
[v1] Mon, 22 Feb 2016 13:15:36 UTC (368 KB)
[v2] Tue, 24 May 2016 05:33:42 UTC (368 KB)
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