Are there tetraquarks at large Nc in QCD(F)?

被引：40

作者：

Cohen, Thomas D. ^{[1
]}

Lebed, Richard F. ^{[2
]}

机构：

[1] Univ Maryland, Dept Phys, College Pk, MD 20742 USA

[2] Arizona State Univ, Dept Phys, Tempe, AZ 85287 USA

来源：

PHYSICAL REVIEW D | 2014年 / 90卷 / 01期

基金：

美国国家科学基金会;

关键词：

MESONS;

D O I：

10.1103/PhysRevD.90.016001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Weinberg recently pointed out a flaw in the standard argument that large N-c QCD with color-fundamental quarks [QCD(F)] cannot yield narrow tetraquark states. In particular, he observed that the argument does not rule out narrow tetraquarks associated with the leading-order connected diagrams; such tetraquarks would have a width scaling as N-c(-1). It is shown here, however, that while the standard analysis of tetraquarks does not rule them out, a more thorough analysis rules out quantum-number exotic tetraquarks associated with the leading-order connected diagrams. This analysis is based entirely on conventional assumptions used in large N-c physics applied to the analytic properties of meson-meson scattering. Our result implies that one of three possibilities must be true: (i) quantum-number exotic tetraquarks do not exist at large N-c; (ii) quantum-number exotic tetraquarks exist, but are associated with subleading connected diagrams and have anomalously small widths that scale as N-c(-2) or smaller; or (iii) the conventional assumptions used in large N-c analysis are inadequate.

引用

页数：8

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