Abstract
The $^{13}\mathrm{C}(^{18}\mathrm{O},^{16}\mathrm{O})^{15}\mathrm{C}$ reaction is studied at 84 MeV incident energy. Excitation energy spectra and absolute cross-section angular distributions for the strongest transitions are measured with good energy and angular resolutions. Strong selectivity for two-neutron configurations in the states of the residual nucleus is found. The measured cross-section angular distributions are analyzed by exact finite-range coupled reaction channel calculations. The two-particle wave functions are extracted using the extreme cluster and the independent coordinate scheme with shell-model derived coupling strengths. A new approach also is introduced, the microscopic cluster, in which the spectroscopic amplitudes in the center-of-mass reference frame are derived from shell-model calculations using the Moshinsky transformation brackets. This new model is able to describe well the experimental cross section and to highlight cluster configurations in the involved wave functions.
Highlights
The study of the atomic nucleus is a very difficult task since it is a complex many-body system
Excitation energy spectra and absolute cross-section angular distributions for the strongest transitions are measured with good energy and angular resolutions
These can be derived from shellmodel calculations, and we refer to this approach as the microscopic cluster model
Summary
The study of the atomic nucleus is a very difficult task since it is a complex many-body system. From a theoretical point of view, a complete treatment of the transfer process should contain a description of: (i) the one-step channel (transition between the partitions α → β) with the inclusion of all the possible inelastic excitations of the target, projectile, ejectile, or residual nucleus; (ii) the sequential channel with the inclusion of intermediate partitions γ , and (iii) the nonorthogonal term deriving from the limited model space used in actual calculations in both the (i) and the (ii) approaches. Such a complete model is still not available in the state-of-the-art theories. This new approach can be used more extensively with respect to the extreme cluster to evaluate the presence of cluster components in the involved wave functions
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