Finite volume Hamiltonian method for two-particle systems containing long-range potential on the lattice Article Swipe
Kang Yu
,
Guang-Juan Wang
,
Jia-Jun Wu
,
Z. W. Yang
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1007/jhep04(2025)108
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1007/jhep04(2025)108
A bstract We propose a systematic method to block-diagonalize the finite volume effective Hamiltonian for two-particle systems with arbitrary spin in both the rest and moving frame. The framework is convenient and efficient for addressing the left-hand cut issue arising from long-range potential, which are challenging in the framework of standard Lüscher formula. Furthermore, the method provides a foundation for further extension to three-particle systems. We first benchmark our method by examining several toy models, demonstrating its consistency with standard Lüscher formula in the absence of long-range potential. In the presence of long-range potential, we investigate and resolve the effects and issues of left-hand cut. As a realistic application, we calculate the finite volume spectra of isoscalar $$ D{\overline{D}}^{\ast } $$ system, where the well-known exotic state χ c 1 (3872) is observed. The results are qualitatively consistent with the lattice QCD calculation, highlighting the reliability and potential application of our framework to the study of other exotic states in hadron physics.
Related Topics
Concepts
Physics
Hamiltonian (control theory)
Lattice (music)
Lattice field theory
Lattice QCD
Particle system
Statistical physics
Mathematical physics
Quantum electrodynamics
Classical mechanics
Quantum mechanics
Quantum chromodynamics
Gauge theory
Computer science
Mathematics
Operating system
Mathematical optimization
Acoustics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/jhep04(2025)108
- https://link.springer.com/content/pdf/10.1007/JHEP04(2025)108.pdf
- OA Status
- diamond
- Cited By
- 3
- References
- 62
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4409513468
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4409513468Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1007/jhep04(2025)108Digital Object Identifier
- Title
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Finite volume Hamiltonian method for two-particle systems containing long-range potential on the latticeWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-04-15Full publication date if available
- Authors
-
Kang Yu, Guang-Juan Wang, Jia-Jun Wu, Z. W. YangList of authors in order
- Landing page
-
https://doi.org/10.1007/jhep04(2025)108Publisher landing page
- PDF URL
-
https://link.springer.com/content/pdf/10.1007/JHEP04(2025)108.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/JHEP04(2025)108.pdfDirect OA link when available
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Physics, Hamiltonian (control theory), Lattice (music), Lattice field theory, Lattice QCD, Particle system, Statistical physics, Mathematical physics, Quantum electrodynamics, Classical mechanics, Quantum mechanics, Quantum chromodynamics, Gauge theory, Computer science, Mathematics, Operating system, Mathematical optimization, AcousticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
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2025: 3Per-year citation counts (last 5 years)
- References (count)
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62Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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