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Few-Body Bound States and Resonances in Finite Volume
Sebastian König1,2,3
1Department of Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany.
Few-Body Systems
|July 21, 2020
Summary
Finite-volume quantum calculations offer a computational method to determine physical properties. This study advances techniques for extracting few-body bound-state and resonance data from multi-particle systems.
Area of Science:
- Quantum mechanics
- Computational physics
- Nuclear physics
Background:
- Finite-volume methods, pioneered by Lüscher, are established for two-body quantum systems.
- Extracting observables from multi-particle quantum systems in finite volumes remains a challenge.
Purpose of the Study:
- To discuss recent advancements in finite-volume calculations for systems with arbitrary numbers of constituents.
- To extend the extraction of bound-state and resonance properties to more complex quantum systems.
Main Methods:
- Utilizing finite-volume techniques to analyze quantum systems.
- Developing analogous relations for systems beyond two constituents.
- Applying lattice methods for few- and many-nucleon states.
Main Results:
- Progress has been made in deriving relations for multi-constituent systems.
- The methods allow for the extraction of few-body bound-state properties.
- Resonance properties can also be determined from these calculations.
Conclusions:
- Finite-volume calculations are a powerful computational tool for quantum observables.
- Recent progress enables the analysis of more complex few-body systems.
- These methods have broad applicability in nuclear physics and cold atom simulations.
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