Equation for the Nakanishi Weight Function Using the Inverse Stieltjes Transform

Autor(es)

Karmanov, V. A. ^[1] ; Carbonell, J. ^[2] ; Frederico, T. ^[3]

Afiliação do(s) autor(es)

^[1] Lebedev Phys Inst, Leninsky Prospekt 53, Moscow 119991 - Russia

^[2] Univ Paris 11, CNRS, IN2P3, Inst Phys Nucl, F-91406 Orsay - France

^[3] Inst Tecnol Aeronaut, DCTA, BR-12228900 Sao Jose Dos Campos - Brazil

• Tipo de documento: Artigo Científico
• Fonte: FEW-BODY SYSTEMS; v. 59, n. 3 MAY 2018.
• Citações Web of Science: 0

Resumo

The bound state Bethe-Salpeter amplitude was expressed by Nakanishi in terms of a smooth weight function g. By using the generalized Stieltjes transform, we derive an integral equation for the Nakanishi function g for a bound state case. It has the standard form g = (V) over capg, where (V) over cap is a two-dimensional integral operator. The prescription for obtaining the kernel V starting with the kernel K of the Bethe-Salpeter equation is given. (AU)

• Processo FAPESP: 15/22701-6 - Teoria relativística de poucos corpos a suas aplicações em hádrons e no núcleo
• Beneficiário: Tobias Frederico
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional