Bethe-Salpeter bound-state structure in Minkowski space

被引：28

作者：

Gutierrez, C. ^{[1
]}

Gigante, V. ^{[2
]}

Frederico, T. ^{[2
]}

Salme, G. ^{[3
]}

Viviani, M. ^{[4
]}

Tomio, Lauro ^{[1
,2
]}

机构：

[1] Univ Estadual Paulista, Inst Fis Teor, BR-01156970 Sao Paulo, SP, Brazil

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

[3] Ist Nazl Fis Nucl, Sez Roma, Ple A Moro 2, I-00185 Rome, Italy

[4] Ist Nazl Fis Nucl, Sez Pisa, Largo Pontecorvo 3, I-56100 Rome, Italy

来源：

PHYSICS LETTERS B | 2016年 / 759卷

基金：

巴西圣保罗研究基金会;

关键词：

Bethe-Salpeter; Minkowski-space; Bound states; Light-front; Impact-parameter; GENERALIZED PARTON DISTRIBUTIONS; SCALAR THEORIES; WAVE-FUNCTIONS; EQUATION;

D O I：

10.1016/j.physletb.2016.05.066

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The quantitative investigation of the scalar Bethe-Salpeter equation in Minkowski space, within the ladder-approximation framework, is extended to include the excited states. This study has been carried out for an interacting system composed by two massive bosons exchanging a massive scalar, by adopting (i) the Nakanishi integral representation of the Bethe-Salpeter amplitude, and (ii) the formally exact projection onto the null plane. Our analysis, on one hand, confirms the reliability of the method already applied to the ground state and, on the other one, extends the investigation from the valence distribution in momentum space to the corresponding quantity in the impact-parameter space, pointing out some relevant features, like (i) the equivalence between Minkowski and Euclidean transverse-momentum amplitudes, and (ii) the leading exponential fall-off of the valence wave function in the impact-parameter space. (C) 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.

引用

页码：131 / 137

页数：7

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