dorsal/arxiv
View SchemaTheory of rapid (nonadiabatic) rotation of nonspherical nuclei
| Authors | V. G. Nosov, A. M. Kamchatnov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403083 |
| URL | https://arxiv.org/abs/nucl-th/0403083 |
| Journal | Sov.Phys.JETP 46 (1977) 411-420 |
Abstract
On the basis of the concept of the growing role of nonadiabatic effects of the non-conservation of the quantum number $K,$ a theory has been developed of the phenomenon which has been given the name of backbending. Above the transition point, for $J\geq J_c$, all the values $-J\leq K\leq J$ are equally probable. An investigation is made of the singularities possessed by the ordering parameter (proportional to the spectroscopic quadrupole moment of a nonspherical nucleus), the rotational angular velocity and the moment of inertia of a nucleus at the Curie point. Formulas have been derived for the intensity of quadrupole radiation in the more symmetric $n$-phase $J> J_c$. By analyzing the experimental values of the moments of inertia belonging to the $n$-phase, the radius of the mass distribution in the nucleus was determined. It agrees with the radius of the proton distribution derived from data on the scattering of electrons by nuclei. On the basis of the simplest form of the singularity of the parametric derivative of the Hamiltonian of the system a general theory of zero-temperature second-order phase transitions is developed in the Appendix.
{
"annotation_id": "f658525e-e916-4472-91a4-504665bf066f",
"date_created": "2026-03-02T18:00:01.532000Z",
"date_modified": "2026-03-02T18:00:01.532000Z",
"file_hash": "9420174f6f91a8b986e3f07fd523dc0bfcb5d53c4b083f3f0b529d66081bfe1c",
"private": false,
"record": {
"abstract": "On the basis of the concept of the growing role of nonadiabatic effects of\nthe non-conservation of the quantum number $K,$ a theory has been developed of\nthe phenomenon which has been given the name of backbending. Above the\ntransition point, for $J\\geq J_c$, all the values $-J\\leq K\\leq J$ are equally\nprobable. An investigation is made of the singularities possessed by the\nordering parameter (proportional to the spectroscopic quadrupole moment of a\nnonspherical nucleus), the rotational angular velocity and the moment of\ninertia of a nucleus at the Curie point. Formulas have been derived for the\nintensity of quadrupole radiation in the more symmetric $n$-phase $J\u003e J_c$. By\nanalyzing the experimental values of the moments of inertia belonging to the\n$n$-phase, the radius of the mass distribution in the nucleus was determined.\nIt agrees with the radius of the proton distribution derived from data on the\nscattering of electrons by nuclei. On the basis of the simplest form of the\nsingularity of the parametric derivative of the Hamiltonian of the system a\ngeneral theory of zero-temperature second-order phase transitions is developed\nin the Appendix.",
"arxiv_id": "nucl-th/0403083",
"authors": [
"V. G. Nosov",
"A. M. Kamchatnov"
],
"categories": [
"nucl-th"
],
"journal_ref": "Sov.Phys.JETP 46 (1977) 411-420",
"title": "Theory of rapid (nonadiabatic) rotation of nonspherical nuclei",
"url": "https://arxiv.org/abs/nucl-th/0403083"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e7d4b29a-8146-4a13-9118-0b14b2573713",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}