Published May 2018
| Version v1
Journal article
Equation for the Nakanishi Weight Function Using the Inverse Stieltjes Transform
Creators
- 1. Lebedev Physical Institute, Moscow (Russian Federation)
- 2. Institut de Physique Nucleaire, IN2P3-CNRS, Université Paris-Sud, Orsay Cedex (France)
- 3. Instituto Tecnológico de Aeronáutica, DCTA, S. José dos Campos (Brazil)
Description
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-hat g, where V-hat 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. (author)
Additional details
Identifiers
Publishing Information
- Journal Title
- Few-Body Systems
- Journal Volume
- 59
- Journal Issue
- 3
- Journal Page Range
- p. 27
- ISSN
- 0177-7963
- CODEN
- FBSYEQ
Conference
- Title
- Light Cone 2017
- Dates
- 18-22 Sep 2017
- Place
- Mumbai (India)
INIS
- Country of Publication
- Austria
- Country of Input or Organization
- Austria
- INIS RN
- 49064526
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- BETHE-SALPETER EQUATION; BOUND STATE; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRALS; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS
- Descriptors DEC
- CRYSTAL LATTICES; CRYSTAL STRUCTURE; EQUATIONS