Formulae for Enhanced Cross Sections Induced by Unusual Resonant Poles
We extend the traditional effective range theory, which can explain the low-energy scattering phenomena by a real potential in neutron plus target systems, to describe the scattering by a complex potential. The extension is achieved based on an analytic Jost function, and we construct analytic formu...
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| Published in | Progress of theoretical and experimental physics Vol. 2025; no. 1 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Oxford University Press
01.01.2025
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| Online Access | Get full text |
| ISSN | 2050-3911 2050-3911 |
| DOI | 10.1093/ptep/ptae195 |
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| Abstract | We extend the traditional effective range theory, which can explain the low-energy scattering phenomena by a real potential in neutron plus target systems, to describe the scattering by a complex potential. The extension is achieved based on an analytic Jost function, and we construct analytic formulae to describe enhanced cross sections in neutron scattering originating from unusual resonant states, such as an antiresonant state and an unstable bound state, appearing around zero momentum. The formulae are checked by comparing them with numerical calculations, and we find that the analytic formulae are quite valid in reproducing the cross sections for shape elastic scattering and compound nucleus formation in low-energy neutron scattering. |
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| AbstractList | We extend the traditional effective range theory, which can explain the low-energy scattering phenomena by a real potential in neutron plus target systems, to describe the scattering by a complex potential. The extension is achieved based on an analytic Jost function, and we construct analytic formulae to describe enhanced cross sections in neutron scattering originating from unusual resonant states, such as an antiresonant state and an unstable bound state, appearing around zero momentum. The formulae are checked by comparing them with numerical calculations, and we find that the analytic formulae are quite valid in reproducing the cross sections for shape elastic scattering and compound nucleus formation in low-energy neutron scattering. We extend the traditional effective range theory, which can explain the low-energy scattering phenomena by a real potential in neutron plus target systems, to describe the scattering by a complex potential. The extension is achieved based on an analytic Jost function, and we construct analytic formulae to describe enhanced cross sections in neutron scattering originating from unusual resonant states, such as an antiresonant state and an unstable bound state, appearing around zero momentum. The formulae are checked by comparing them with numerical calculations, and we find that the analytic formulae are quite valid in reproducing the cross sections for shape elastic scattering and compound nucleus formation in low-energy neutron scattering. |
| Author | Yamaguchi, Yukito Ito, Makoto Okada, Maito |
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| Cites_doi | 10.1103/PhysRevC.34.38 10.1143/PTP.102.1119 10.1088/0305-4470/31/22/015 10.1103/PhysRevC.104.034602 10.1140/epjp/i2018-12343-0 10.1103/PhysRevC.31.400 10.1016/S0375-9474(00)00148-2 10.1103/PhysRev.49.519 10.1103/PhysRev.88.1163 10.1093/ptep/ptae168 10.1143/PTPS.192.1 10.1103/PhysRev.180.1131 10.1016/0029-5582(58)90249-9 10.1103/PhysRev.96.448 10.1143/PTP.116.1 10.1143/PTP.110.233 10.1080/00223131.2022.2141903 10.1080/10448639208218770 10.1088/0305-4470/30/10/041 |
| ContentType | Journal Article |
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| Title | Formulae for Enhanced Cross Sections Induced by Unusual Resonant Poles |
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