dorsal/arxiv
View SchemaNuclear collective tunneling transitions between Hartree states deformed in quadrupole symmetry
| Authors | M. Maruyama, T. Kohmura, Y. Hashimoto |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512026 |
| URL | https://arxiv.org/abs/nucl-th/0512026 |
Abstract
In a nucleus which has two Hartree states deformed in quadrupole symmetry, i.e., prolate state and oblate state, the nuclear residual interaction derived in the present theory beyond the Hartree approximation acts as the restoring force for the spherical symmetry of the nuclear system to be recovered so that the deformed nucleus makes collective tunneling transitions between prolate states and oblate states. We derive the Hamiltonian that is effective not only for the Hartree states but also for the collective tunneling transitions between the Hartree states. Solving the secular equation for the effective Hamiltonian on the basis states expressed in terms of SU(5) algebra, we analyze the nuclear collective tunneling transitions between a prolate state and an oblate state in the real-time description. The collective tunneling transitions are discussed to proceed through tri-axially asymmetric deformed states.
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"abstract": "In a nucleus which has two Hartree states deformed in quadrupole symmetry,\ni.e., prolate state and oblate state, the nuclear residual interaction derived\nin the present theory beyond the Hartree approximation acts as the restoring\nforce for the spherical symmetry of the nuclear system to be recovered so that\nthe deformed nucleus makes collective tunneling transitions between prolate\nstates and oblate states. We derive the Hamiltonian that is effective not only\nfor the Hartree states but also for the collective tunneling transitions\nbetween the Hartree states. Solving the secular equation for the effective\nHamiltonian on the basis states expressed in terms of SU(5) algebra, we analyze\nthe nuclear collective tunneling transitions between a prolate state and an\noblate state in the real-time description. The collective tunneling transitions\nare discussed to proceed through tri-axially asymmetric deformed states.",
"arxiv_id": "nucl-th/0512026",
"authors": [
"M. Maruyama",
"T. Kohmura",
"Y. Hashimoto"
],
"categories": [
"nucl-th"
],
"title": "Nuclear collective tunneling transitions between Hartree states deformed in quadrupole symmetry",
"url": "https://arxiv.org/abs/nucl-th/0512026"
},
"schema_id": "dorsal/arxiv",
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"variant": "snapshot-2026-03-01",
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