<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mrow/> <mml:mmultiscripts> <mml:mi>Be</mml:mi> <mml:mprescripts/> <mml:none/> <mml:mn>9</mml:mn> </mml:mmultiscripts> </mml:mrow> </mml:math> photodisintegration cross section
A low-energy calculation of $^{9}\mathrm{Be}$ photodisintegration cross section is presented within an $\ensuremath{\alpha}\ensuremath{\alpha}n$ cluster approach. The $\ensuremath{\alpha}n$ and $\ensuremath{\alpha}\ensuremath{\alpha}$ 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 $^{9}\mathrm{Be}$ three-body binding energy is studied within the nonsymmetrized hyperspherical harmonics method. Then, the low-energy cross section is calculated via the Lorentz integral transform method, focusing 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.
Authors
- Karl J. Friston
Institutions
- University of Salento (IT)
- University of Trento (IT)
- Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Lecce (IT)
- Institute of Particle Physics (CA)
- European Centre for Theoretical Studies in Nuclear Physics and Related Areas (IT)
- Institute of Modern Physics (CN)
Publication Details
- Journal
- Physical review. C
- Published
- 2025-10-03
- DOI
- https://doi.org/10.1103/4492-hghr
- Primary Topic
- Nuclear physics research studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00