Multi-Nucleon Transfer Reactions and the Creation and the Evolution of the Compound Nucleus
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917451921358848 |
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| author | Kafker, Matthew Bulgac, Aurel |
| author_facet | Kafker, Matthew Bulgac, Aurel |
| contents | There is no microscopic quantum approach based on the many-body time-dependent Schrödinger equation which capable to describe the formation and the evolution of a compound nucleus. The most advanced microscopic approach developed so far to describe multi-nucleon transfer (MNT) reactions in complex nuclear systems (with total number of nucleons $\gg 100$) is the time-dependent Hartree Fock (TDHF) mean field theory. In any mean field approach, however, the mean field is an expectation value of a quantum operator, thus classical in nature and unable to describe its quantum fluctuations, which are often expected to be crucial. Quantum fluctuations can be in principle be included in a configuration interaction (CI) framework, which in the case of reactions has to be implemented in the continuum. Here we describe the first such implementation within a novel extension of the well known Generator Coordinate Method (GCM), dubbed the enhanced GCM (eGCM), applied to the MNT reaction $^{48}$Ca+$^{208}$Pb near the Coulomb barrier, which demonstrates major qualitative differences with either TDHF or GCM previous approaches. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_21845 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multi-Nucleon Transfer Reactions and the Creation and the Evolution of the Compound Nucleus Kafker, Matthew Bulgac, Aurel Nuclear Theory There is no microscopic quantum approach based on the many-body time-dependent Schrödinger equation which capable to describe the formation and the evolution of a compound nucleus. The most advanced microscopic approach developed so far to describe multi-nucleon transfer (MNT) reactions in complex nuclear systems (with total number of nucleons $\gg 100$) is the time-dependent Hartree Fock (TDHF) mean field theory. In any mean field approach, however, the mean field is an expectation value of a quantum operator, thus classical in nature and unable to describe its quantum fluctuations, which are often expected to be crucial. Quantum fluctuations can be in principle be included in a configuration interaction (CI) framework, which in the case of reactions has to be implemented in the continuum. Here we describe the first such implementation within a novel extension of the well known Generator Coordinate Method (GCM), dubbed the enhanced GCM (eGCM), applied to the MNT reaction $^{48}$Ca+$^{208}$Pb near the Coulomb barrier, which demonstrates major qualitative differences with either TDHF or GCM previous approaches. |
| title | Multi-Nucleon Transfer Reactions and the Creation and the Evolution of the Compound Nucleus |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2604.21845 |