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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Equation for the Nakanishi Weight Function Using the Inverse Stieltjes Transform

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Karmanov, V. A. [1] ; Carbonell, J. [2] ; Frederico, T. [3]
Total Authors: 3
[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
Total Affiliations: 3
Document type: Journal article
Source: FEW-BODY SYSTEMS; v. 59, n. 3 MAY 2018.
Web of Science Citations: 0

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)

FAPESP's process: 15/22701-6 - Theory of relativistic few-body systems and its applications to hadrons and nuclei
Grantee:Tobias Frederico
Support type: Research Grants - Visiting Researcher Grant - International