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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.24336 |
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| _version_ | 1866915521286373376 |
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| author | Ou-Yang, Zi-Xi Gubler, Philipp Oka, Makoto Wang, Guang-Juan Wu, Jia-Jun |
| author_facet | Ou-Yang, Zi-Xi Gubler, Philipp Oka, Makoto Wang, Guang-Juan Wu, Jia-Jun |
| contents | We propose an extension of the Quantum Chromodynamics (QCD) sum rules, termed the Resonance sum rules (RSR), to access resonance poles in the complex energy plane. By strategically introducing a contour in the complex plane and conformal mapping, the method intends to reach resonance poles on the second Riemann sheet. To validate this approach, we apply RSR to the square-well potential model, for which the pole locations are known. The analysis demonstrates a successful extraction of the pole positions and residues for both the $S$-wave and $P$-wave resonances. The results are in good agreement with the analytic solutions, with discrepancies within $5\%$ for the pole positions and $20\%$ for the residues.This framework provides a basis for future applications to realistic hadronic resonances, promising new insights into spectral properties of QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24336 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resonance sum rules: an application to the square well potential Ou-Yang, Zi-Xi Gubler, Philipp Oka, Makoto Wang, Guang-Juan Wu, Jia-Jun High Energy Physics - Phenomenology We propose an extension of the Quantum Chromodynamics (QCD) sum rules, termed the Resonance sum rules (RSR), to access resonance poles in the complex energy plane. By strategically introducing a contour in the complex plane and conformal mapping, the method intends to reach resonance poles on the second Riemann sheet. To validate this approach, we apply RSR to the square-well potential model, for which the pole locations are known. The analysis demonstrates a successful extraction of the pole positions and residues for both the $S$-wave and $P$-wave resonances. The results are in good agreement with the analytic solutions, with discrepancies within $5\%$ for the pole positions and $20\%$ for the residues.This framework provides a basis for future applications to realistic hadronic resonances, promising new insights into spectral properties of QCD. |
| title | Resonance sum rules: an application to the square well potential |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.24336 |