Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels

Autor(es)

El-Bennich, Bruno ; Krein, Gastao ; Rojas, Eduardo ; Serna, Fernando E.

• Tipo de documento: Artigo Científico
• Fonte: FEW-BODY SYSTEMS; v. 57, n. 10, p. 955-963, OCT 2016.
• Citações Web of Science: 10

Resumo

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 parts 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. (AU)

• Processo FAPESP: 13/01907-0 - Centro de Pesquisa e Análise de São Paulo
• Beneficiário: Sergio Ferraz Novaes
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/16088-4 - Física hadrônica na era do "12 GeV upgrade" no Jefferson Lab e dos novos aceleradores para a física de sabores
• Beneficiário: Bruno Omar El-Bennich
• Linha de fomento: Auxílio à Pesquisa - Regular