Wavefunction-based operator optimization for two-hadron systems in lattice QCD
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909688463884288 |
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| author | Lyu, Yan Aoki, Sinya Doi, Takumi Hatsuda, Tetsuo Murakami, Kotaro Sugiura, Takuya |
| author_facet | Lyu, Yan Aoki, Sinya Doi, Takumi Hatsuda, Tetsuo Murakami, Kotaro Sugiura, Takuya |
| contents | A systematic way to constructing optimized interpolating operators for two-hadron systems is developed by incorporating inter-hadron spatial wavefunctions. The wavefunctions can be obtained from an iterative process with an appropriate initial guess. To implement these operators, a novel quark smearing technique utilizing $Z_3$ noise vectors is proposed, which allows for effectively incorporating inter-hadron spatial wavefunctions at the source without using all-to-all quark propagators. Proof-of-principle application to the $Ω_{ccc}Ω_{ccc}$ system using physical-point lattice configurations with a large size $La\simeq8.1$~fm shows that optimized operators enables clear identification of states around $2m_{Ω_{ccc}}\simeq 9700$ MeV with the energy gap as narrow as $\sim 5$ MeV. A comparison on correlation functions, effective energies, and HAL QCD potentials between unoptimized operators and optimized operators is given, with a special emphasis on the effects from nearby elastic scattering states. Potential applicability of the optimized operator to various two-hadron systems and its relation to the variational method are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wavefunction-based operator optimization for two-hadron systems in lattice QCD Lyu, Yan Aoki, Sinya Doi, Takumi Hatsuda, Tetsuo Murakami, Kotaro Sugiura, Takuya High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory A systematic way to constructing optimized interpolating operators for two-hadron systems is developed by incorporating inter-hadron spatial wavefunctions. The wavefunctions can be obtained from an iterative process with an appropriate initial guess. To implement these operators, a novel quark smearing technique utilizing $Z_3$ noise vectors is proposed, which allows for effectively incorporating inter-hadron spatial wavefunctions at the source without using all-to-all quark propagators. Proof-of-principle application to the $Ω_{ccc}Ω_{ccc}$ system using physical-point lattice configurations with a large size $La\simeq8.1$~fm shows that optimized operators enables clear identification of states around $2m_{Ω_{ccc}}\simeq 9700$ MeV with the energy gap as narrow as $\sim 5$ MeV. A comparison on correlation functions, effective energies, and HAL QCD potentials between unoptimized operators and optimized operators is given, with a special emphasis on the effects from nearby elastic scattering states. Potential applicability of the optimized operator to various two-hadron systems and its relation to the variational method are also discussed. |
| title | Wavefunction-based operator optimization for two-hadron systems in lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2507.09933 |