Neutron-deuteron scattering revisited with the EKM chiral nuclear force and the WPCD method
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| Format: | Preprint |
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2025
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| author | Zhai, Qing-Yu Pang, Dan-Yang Chen, Wen-Di Rubtsova, O. A. Xu, Rui-Rui Lu, Jun-Xu Liang, Haozhao Geng, Li-Sheng |
| author_facet | Zhai, Qing-Yu Pang, Dan-Yang Chen, Wen-Di Rubtsova, O. A. Xu, Rui-Rui Lu, Jun-Xu Liang, Haozhao Geng, Li-Sheng |
| contents | We revisit the neutron-deuteron scattering using the Wave-Packet Continuum Discretization (WPCD) method with the EKM chiral nuclear force at various chiral orders. We rederive the permutation operator and solve the Faddeev-AGS equations directly, without rewriting the initial Faddeev kernel $tG_0$ and introducing pseudo-states, thereby rendering the approach easily extendable to a relativistic framework. We find that up to the next-to-next-to-next-to-leading order (N$^3$LO), although one can well describe the differential cross sections, one cannot resolve the long-standing $A_y$ puzzle, consistent with previous studies. The fact that the N$^3$LO chiral forces can well describe the $NN$ phase shifts and the results obtained with the EKM and Idaho N$^3$LO chiral forces agree with each other underscores the need for further investigations to resolve the $A_y$ puzzle, e.g., considering three-body forces or relativistic effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02475 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Neutron-deuteron scattering revisited with the EKM chiral nuclear force and the WPCD method Zhai, Qing-Yu Pang, Dan-Yang Chen, Wen-Di Rubtsova, O. A. Xu, Rui-Rui Lu, Jun-Xu Liang, Haozhao Geng, Li-Sheng Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment We revisit the neutron-deuteron scattering using the Wave-Packet Continuum Discretization (WPCD) method with the EKM chiral nuclear force at various chiral orders. We rederive the permutation operator and solve the Faddeev-AGS equations directly, without rewriting the initial Faddeev kernel $tG_0$ and introducing pseudo-states, thereby rendering the approach easily extendable to a relativistic framework. We find that up to the next-to-next-to-next-to-leading order (N$^3$LO), although one can well describe the differential cross sections, one cannot resolve the long-standing $A_y$ puzzle, consistent with previous studies. The fact that the N$^3$LO chiral forces can well describe the $NN$ phase shifts and the results obtained with the EKM and Idaho N$^3$LO chiral forces agree with each other underscores the need for further investigations to resolve the $A_y$ puzzle, e.g., considering three-body forces or relativistic effects. |
| title | Neutron-deuteron scattering revisited with the EKM chiral nuclear force and the WPCD method |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2512.02475 |