dorsal/arxiv
View SchemaRelation between the critical spin and angular velocity of a nucleus immediately after backbending
| Authors | V. G. Nosov, A. M. Kamchatnov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405001 |
| URL | https://arxiv.org/abs/nucl-th/0405001 |
| Journal | Sov.Phys.JETP 49 (1979) 765-769 |
Abstract
In nonspherical nuclei at $J = J_c + 0$ the relationship between the angular momentum and angular velocity immediately after backbending is the same as in the limiting case $J - J_c\to\infty$. This indicates that there is a unique type of cancellation of the deviations from a rigid-body moment of inertia in the upper phase $J>J_c$. An integral relationship is found which expresses this cancellation quantitatively. This formula permits $J_c$ to be calculated for the rotational bands of the even-even nuclei studied and the results are in agreement with those obtained by other methods of locating the Curie point. For the ground state band of W$^{170}$ the cancellation of the reciprocals of the true and rigid-body moments of inertia can be verified directly. The condition for the stability of the rotation of a nonspherical nucleus is analyzed in the Appendix in close connection with the problem of a reasonable definition of the concept of a variable moment of inertia.
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"abstract": "In nonspherical nuclei at $J = J_c + 0$ the relationship between the angular\nmomentum and angular velocity immediately after backbending is the same as in\nthe limiting case $J - J_c\\to\\infty$. This indicates that there is a unique\ntype of cancellation of the deviations from a rigid-body moment of inertia in\nthe upper phase $J\u003eJ_c$. An integral relationship is found which expresses this\ncancellation quantitatively. This formula permits $J_c$ to be calculated for\nthe rotational bands of the even-even nuclei studied and the results are in\nagreement with those obtained by other methods of locating the Curie point. For\nthe ground state band of W$^{170}$ the cancellation of the reciprocals of the\ntrue and rigid-body moments of inertia can be verified directly. The condition\nfor the stability of the rotation of a nonspherical nucleus is analyzed in the\nAppendix in close connection with the problem of a reasonable definition of the\nconcept of a variable moment of inertia.",
"arxiv_id": "nucl-th/0405001",
"authors": [
"V. G. Nosov",
"A. M. Kamchatnov"
],
"categories": [
"nucl-th"
],
"journal_ref": "Sov.Phys.JETP 49 (1979) 765-769",
"title": "Relation between the critical spin and angular velocity of a nucleus immediately after backbending",
"url": "https://arxiv.org/abs/nucl-th/0405001"
},
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