Contact interaction treatment of the nucleon Faddeev equation
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910009831456768 |
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| author | Bai, Xin-Yu Lu, Ya Yao, Zhao-Qian Roberts, Craig D. Schmidt, Sebastian M. |
| author_facet | Bai, Xin-Yu Lu, Ya Yao, Zhao-Qian Roberts, Craig D. Schmidt, Sebastian M. |
| contents | Working with a symmetry-preserving treatment of a vector $\otimes$ vector contact interaction (SCI), a largely algebraic three-body Faddeev equation treatment of the nucleon bound state problem is introduced and used to deliver results for all nucleon charge and magnetisation distributions and their flavour separation. A strength of the SCI treatment is that it provides for a transparent understanding of this three-body approach to developing predictions for baryon observables. Comparisons of SCI results with predictions obtained in realistic-interaction Faddeev equation studies reveal the sensitivities of given observable to phenomena associated with the emergence of hadron mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02880 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Contact interaction treatment of the nucleon Faddeev equation Bai, Xin-Yu Lu, Ya Yao, Zhao-Qian Roberts, Craig D. Schmidt, Sebastian M. High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Experiment Nuclear Theory Working with a symmetry-preserving treatment of a vector $\otimes$ vector contact interaction (SCI), a largely algebraic three-body Faddeev equation treatment of the nucleon bound state problem is introduced and used to deliver results for all nucleon charge and magnetisation distributions and their flavour separation. A strength of the SCI treatment is that it provides for a transparent understanding of this three-body approach to developing predictions for baryon observables. Comparisons of SCI results with predictions obtained in realistic-interaction Faddeev equation studies reveal the sensitivities of given observable to phenomena associated with the emergence of hadron mass. |
| title | Contact interaction treatment of the nucleon Faddeev equation |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2602.02880 |