Dynamical Origin of Spectroscopic Quenching in Knockout Reactions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914327829676032 |
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| author | Lei, Jin |
| author_facet | Lei, Jin |
| contents | Nucleon-removal reactions are a primary tool for extracting single-particle structure of rare isotopes, yet the ratio $R_s=σ_{\exp}/σ_{\mathrm{th}}$ of measured to theoretical cross sections drops systematically below unity for deeply bound nucleons. I derive the exact effective three-body Hamiltonian for composite-projectile reactions using a sequential double Feshbach projection and show that the standard additive model misses two induced interactions: a non-additive term from virtual target excitations and a polarization potential from excluded projectile configurations. Their omission overestimates the stripping cross section, producing apparent quenching distinct from genuine nuclear-structure correlations. This mechanism offers a dynamical origin for the strong separation-energy dependence of the quenching ratio, a feature unique to knockout analyses. Existing four-body CDCC calculations for $^{6}$Li validate the framework: the proper Feshbach reference reproduces elastic scattering data, while a phenomenological optical potential double counts the breakup absorption and fails. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12690 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamical Origin of Spectroscopic Quenching in Knockout Reactions Lei, Jin Nuclear Theory Nucleon-removal reactions are a primary tool for extracting single-particle structure of rare isotopes, yet the ratio $R_s=σ_{\exp}/σ_{\mathrm{th}}$ of measured to theoretical cross sections drops systematically below unity for deeply bound nucleons. I derive the exact effective three-body Hamiltonian for composite-projectile reactions using a sequential double Feshbach projection and show that the standard additive model misses two induced interactions: a non-additive term from virtual target excitations and a polarization potential from excluded projectile configurations. Their omission overestimates the stripping cross section, producing apparent quenching distinct from genuine nuclear-structure correlations. This mechanism offers a dynamical origin for the strong separation-energy dependence of the quenching ratio, a feature unique to knockout analyses. Existing four-body CDCC calculations for $^{6}$Li validate the framework: the proper Feshbach reference reproduces elastic scattering data, while a phenomenological optical potential double counts the breakup absorption and fails. |
| title | Dynamical Origin of Spectroscopic Quenching in Knockout Reactions |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2602.12690 |