Finite volume corrections to the binding energy of the X(3872)

被引：33

作者：

Jansen, M. ^{[1
]}

Hammer, H. -W. ^{[1
,2
]}

Jia, Yu ^{[3
,4
,5
]}

机构：

[1] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany

[2] GSI Helmholtzzentrum Schwerionenforsch GmbH, ExtreMe Matter Inst EMMI, D-64291 Darmstadt, Germany

[3] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China

[4] Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China

[5] Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China

来源：

PHYSICAL REVIEW D | 2015年 / 92卷 / 11期

基金：

中国国家自然科学基金;

关键词：

QUANTUM-FIELD THEORIES; PERTURBATION-THEORY; SCATTERING; DEPENDENCE; SPECTRUM; DECAYS; STATES;

D O I：

10.1103/PhysRevD.92.114031

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The quark mass dependence of hadrons is an important input for lattice calculations. We investigate the light quark mass dependence of the binding energy of the X(3872) in a finite box to next-to-leading order in an effective field theory for the X(3872) with perturbative pions. At this order, the quark mass dependence is determined by a quark-mass-dependent contact interaction in addition to the one-pion exchange. While there is only a moderate sensitivity to the light quark masses in the region up to twice their physical value, the finite-volume effects are significant already at a box length as large as 20 fm.

引用

页数：15

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