dorsal/arxiv
View SchemaPeculiar properties of the cluster-cluster interaction induced by the Pauli exclusion principle
| Authors | Gennady Filippov, Yuliya Lashko |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403068 |
| URL | https://arxiv.org/abs/nucl-th/0403068 |
| DOI | 10.1103/PhysRevC.70.064001 |
| Journal | Phys.Rev. C70 (2004) 064001 |
Abstract
Role of the Pauli principle in the formation of both the discrete spectrum and multi-channel states of the binary nuclear systems composed of clusters is studied in the Algebraic Version of the resonating-group method. Solutions of the Hill-Wheeler equations in the discrete representation of a complete basis of the Pauli-allowed states are discussed for 4He+n, 3H+3H, and 4He+4He binary systems. An exact treatment of the antisymmetrization effects are shown to result in either an effective repulsion of the clusters, or their effective attraction. It also yields a change in the intensity of the centrifugal potential. Both factors significantly affect the scattering phase behavior. Special attention is paid to the multi-channel cluster structure 6He+6He as well as to the difficulties arising in the case when the two clustering configurations, 6He+6He and 4He+8He, are taken into account simultaneously. In the latter case the Pauli principle, even in the absence of a potential energy of the cluster-cluster interaction, leads to the inelastic processes and secures an existence of both the bound state and resonance in the 12Be compound nucleus.
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"abstract": "Role of the Pauli principle in the formation of both the discrete spectrum\nand multi-channel states of the binary nuclear systems composed of clusters is\nstudied in the Algebraic Version of the resonating-group method. Solutions of\nthe Hill-Wheeler equations in the discrete representation of a complete basis\nof the Pauli-allowed states are discussed for 4He+n, 3H+3H, and 4He+4He binary\nsystems. An exact treatment of the antisymmetrization effects are shown to\nresult in either an effective repulsion of the clusters, or their effective\nattraction. It also yields a change in the intensity of the centrifugal\npotential. Both factors significantly affect the scattering phase behavior.\nSpecial attention is paid to the multi-channel cluster structure 6He+6He as\nwell as to the difficulties arising in the case when the two clustering\nconfigurations, 6He+6He and 4He+8He, are taken into account simultaneously. In\nthe latter case the Pauli principle, even in the absence of a potential energy\nof the cluster-cluster interaction, leads to the inelastic processes and\nsecures an existence of both the bound state and resonance in the 12Be compound\nnucleus.",
"arxiv_id": "nucl-th/0403068",
"authors": [
"Gennady Filippov",
"Yuliya Lashko"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.064001",
"journal_ref": "Phys.Rev. C70 (2004) 064001",
"title": "Peculiar properties of the cluster-cluster interaction induced by the Pauli exclusion principle",
"url": "https://arxiv.org/abs/nucl-th/0403068"
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