Volume Dependence of Bound States with Angular Momentum
- Helmholtz-Institut fuer Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universitaet Bonn, 53115 Bonn (Germany)
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 (United States)
We derive general results for the mass shift of bound states with angular momentum l{>=}1 in a finite periodic volume. Our results have direct applications to lattice simulations of hadronic molecules as well as atomic nuclei. While the binding of S-wave bound states increases at finite volume, we show that the binding of P-wave bound states decreases. The mass shift for D-wave bound states as well as higher partial waves depends on the representation of the cubic rotation group. Nevertheless, the multiplet-averaged mass shift for any angular momentum l can be expressed in a simple form, and the sign of the shift alternates for even and odd l. We verify our analytical results with explicit numerical calculations. We also show numerically that similar volume corrections appear in three-body bound states.
- OSTI ID:
- 21611760
- Journal Information:
- Physical Review Letters, Vol. 107, Issue 11; Other Information: DOI: 10.1103/PhysRevLett.107.112001; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BOUND STATE
COMPUTERIZED SIMULATION
D WAVES
HADRONS
LATTICE FIELD THEORY
MASS
P WAVES
PERIODICITY
ROTATION
S WAVES
THREE-BODY PROBLEM
CONSTRUCTIVE FIELD THEORY
ELEMENTARY PARTICLES
FIELD THEORIES
MANY-BODY PROBLEM
MOTION
PARTIAL WAVES
QUANTUM FIELD THEORY
SIMULATION
VARIATIONS