The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915757143621632 |
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| author | Capitani, Ylenia Filandri, Elena Ji, Chen Leidemann, Winfried Orlandini, Giuseppina |
| author_facet | Capitani, Ylenia Filandri, Elena Ji, Chen Leidemann, Winfried Orlandini, Giuseppina |
| contents | A low-energy calculation of ${}^9$Be photodisintegration cross section is presented within an $ααn$ cluster approach. The $αn$ and $αα$ contact interactions are derived from cluster effective field theory. The two-body potentials defined in momentum space are regularized by a Gaussian cutoff. The associated low-energy constants are found by comparing the calculated low-energy T-matrix with its effective range expansion. A three-body state-dependent potential is also introduced in the model. First, the ${}^9$Be three-body binding energy is studied within the non-symmetrized hyperspherical harmonics method. Then, the low-energy cross section is calculated via the Lorentz integral transform method, focussing on the dominant electric dipole transitions. A twofold evaluation of the nuclear current matrix element is presented, employing both the electric dipole transition operator (Siegert theorem) and the one-body convection current operator. This approach is adopted to allow for a discussion of the effect of the many-body currents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05040 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory Capitani, Ylenia Filandri, Elena Ji, Chen Leidemann, Winfried Orlandini, Giuseppina Nuclear Theory A low-energy calculation of ${}^9$Be photodisintegration cross section is presented within an $ααn$ cluster approach. The $αn$ and $αα$ contact interactions are derived from cluster effective field theory. The two-body potentials defined in momentum space are regularized by a Gaussian cutoff. The associated low-energy constants are found by comparing the calculated low-energy T-matrix with its effective range expansion. A three-body state-dependent potential is also introduced in the model. First, the ${}^9$Be three-body binding energy is studied within the non-symmetrized hyperspherical harmonics method. Then, the low-energy cross section is calculated via the Lorentz integral transform method, focussing on the dominant electric dipole transitions. A twofold evaluation of the nuclear current matrix element is presented, employing both the electric dipole transition operator (Siegert theorem) and the one-body convection current operator. This approach is adopted to allow for a discussion of the effect of the many-body currents. |
| title | The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2506.05040 |