Role of the effective range in the weak-binding relation
@article{Kinugawa2021RoleOT, title={Role of the effective range in the weak-binding relation}, author={Tomona Kinugawa and Tetsuo Hyodo}, journal={EPJ Web of Conferences}, year={2021} }
We study the range correction in the weak-binding relation, which relates the internal structure of hadrons with the scattering length and the binding energy. Utilizing the effective field theories, we show that the effective range originates from the derivative coupling interaction as well as from the channel coupling to the bare state, and that the different contributions are not distinguishable. By examining the compositeness in the effective field theories, it is demonstrated that the…
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References
SHOWING 1-10 OF 23 REFERENCES
Generalized weak-binding relations of compositeness in effective field theory
- Physics
- 2016
We study the compositeness of near-threshold states to investigate the internal structure of exotic hadron candidates. Within the framework of effective field theory, Weinberg's weak-binding relation…
Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
- Physics
- 2014
We develop a theoretical framework to investigate the two-body composite structure of a resonance as well as a bound state from its wave function. For this purpose, we introduce both one-body bare…
On the nature of near-threshold bound and virtual states
- PhysicsThe European Physical Journal A
- 2021
Physical states are characterised uniquely by their pole positions and the corresponding residues. Accordingly, in those parameters also the nature of the states should be encoded. For bound states…
Exotic hadrons with heavy flavors: X, Y, Z, and related states
- Physics
- 2016
In the past decade, exotic hadrons with charm and bottom flavors have been extensively studied both in experiments and in theories. In this review, we provide topical discussions by selecting $X,Y,Z$…
Quantum Mechanics: Foundations and Applications
- Physics
- 2006
Preface THE FOUNDATIONS OF QUANTUM PHYSICS The Prelude to Quantum Mechanics Wave-Particle Duality and the Uncertainty Relation Fourier Transforms in Quantum Mechanics The Postulatory Basis of Quantum…
Efimov physics: a review
- PhysicsReports on progress in physics. Physical Society
- 2017
These experiments revealed that the previously undetermined three-body parameter introduced in the Efimov theory to stabilise the three- body attraction typically scales with the range of atomic interactions.
Universality in few‐body systems with large scattering length
- Physics
- 2005
Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model‐independent calculations. Particularly…
PTEP 2016
- 062C01
- 2016