Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift
Lattice QCD calculations provide an ab initio access to hadronic process. These calculations are usu ally performed in a small cubic volume with periodic boundary conditions. The infinite volume extrapolations for three-body systems are indispensable to understand many systems of high current intere...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2020/17/epjconf_nstar2020_02005.pdf |
| _version_ | 1818655662076329984 |
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| author | Pang Jin-Yi |
| author_facet | Pang Jin-Yi |
| author_sort | Pang Jin-Yi |
| collection | DOAJ |
| description | Lattice QCD calculations provide an ab initio access to hadronic process. These calculations are usu ally performed in a small cubic volume with periodic boundary conditions. The infinite volume extrapolations for three-body systems are indispensable to understand many systems of high current interest. We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture.
Our work shows a powerful and transparent method to read off three-body physical observables from lattice simulations. In this paper, we review the formalism, quantization condition, spectrum analysis and energy shifts calculation both for 3-body bound states and scattering states. |
| first_indexed | 2024-12-17T03:13:15Z |
| format | Article |
| id | doaj.art-fde1d5712c2041538da60f234f8fecbb |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-17T03:13:15Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-fde1d5712c2041538da60f234f8fecbb2022-12-21T22:05:46ZengEDP SciencesEPJ Web of Conferences2100-014X2020-01-012410200510.1051/epjconf/202024102005epjconf_nstar2020_02005Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shiftPang Jin-YiLattice QCD calculations provide an ab initio access to hadronic process. These calculations are usu ally performed in a small cubic volume with periodic boundary conditions. The infinite volume extrapolations for three-body systems are indispensable to understand many systems of high current interest. We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Our work shows a powerful and transparent method to read off three-body physical observables from lattice simulations. In this paper, we review the formalism, quantization condition, spectrum analysis and energy shifts calculation both for 3-body bound states and scattering states.https://www.epj-conferences.org/articles/epjconf/pdf/2020/17/epjconf_nstar2020_02005.pdf |
| spellingShingle | Pang Jin-Yi Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift EPJ Web of Conferences |
| title | Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift |
| title_full | Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift |
| title_fullStr | Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift |
| title_full_unstemmed | Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift |
| title_short | Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift |
| title_sort | three particle system in a finite volume formalism quantization condition spectrum and energy shift |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2020/17/epjconf_nstar2020_02005.pdf |
| work_keys_str_mv | AT pangjinyi threeparticlesysteminafinitevolumeformalismquantizationconditionspectrumandenergyshift |