Non-relativistic bound states in a finite volume

被引：29

作者：

Koenig, Sebastian ^{[1
,2
]}

Lee, Dean ^{[1
,2
,3
]}

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

机构：

[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theorie, D-53115 Bonn, Germany

[2] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[3] N Carolina State Univ, Dept Phys, Raleigh, NC 27695 USA

来源：

ANNALS OF PHYSICS | 2012年 / 327卷 / 06期

关键词：

Finite volume energy shifts; Universality; Lattice calculations; Effective field theory; QUANTUM-FIELD THEORIES; ENERGY-SPECTRUM; DEPENDENCE;

D O I：

10.1016/j.aop.2011.12.015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive general results for the mass shift of bound states with angular momentum l >= 1 in a periodic cubic box in two and three spatial dimensions. Our results have applications to lattice simulations of hadronic molecules, halo nuclei, and Feshbach molecules. The sign of the mass shift can be related to the symmetry properties of the state under consideration. We verify our analytical results with explicit numerical calculations. Moreover, we comment on the relations connecting the effective range parameter, the binding momentum of a given state and the asymptotic normalization coefficient of the corresponding wave function. We give explicit expressions for this relation in the shallow binding limit. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1450 / 1471

页数：22

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