EMPIRICAL REGULARITIES IN NUCLEAR ROTATIONAL SPECTRA AND A POSSIBLE MECHANISM OF FORMATION OF THE ROTATIONAL ANGULAR-MOMENTUM

Authors
Citation
Gm. Amalskii, EMPIRICAL REGULARITIES IN NUCLEAR ROTATIONAL SPECTRA AND A POSSIBLE MECHANISM OF FORMATION OF THE ROTATIONAL ANGULAR-MOMENTUM, Physics of atomic nuclei, 56(9), 1993, pp. 1190-1200
Citations number
11
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields
Journal title
ISSN journal
1063-7788
Volume
56
Issue
9
Year of publication
1993
Pages
1190 - 1200
Database
ISI
SICI code
1063-7788(1993)56:9<1190:ERINRS>2.0.ZU;2-7
Abstract
An empirical formula epsilon(N)(J) = epsilon0 sin2(pi Absolute value o f J/N) proposed here gives a good description of the levels of the gro und bands of strongly deformed nuclei with mass number A greater-than- or-equal-to 100 up to energies epsilon(J) less-than-or-equal-to 5 MeV. The expression contains one adjustable parameter N, which does not de pend strongly on the charge of the nucleus, and a parameter epsilon0 i s-approximately-equal-to 6.7 MeV which is common for all nuclei. The e nergies epsilon(J) - epsilon(J0) of the levels of most rotational band s of various nuclei with ground-state angular momenta J0 of the bands are described well by the sequences epsilon(N)(R) - epsilon(N)(R0) wit h R - R0 = J - J0, calculated by means of this expression, where R0 is a second integer adjustable parameter of the band. In order to explai n these empirical regularities, it is proposed to interpret the rotati onal state of a deformed nucleus as a state with conserved orientation of the symmetry axis of the nucleus aligned with the conserved projec tion of the angular momentum. Arguments are given in favor of the assu mption that the collective ''rotational'' angular momentum R with the value Absolute value of R = (R(R + 1))1/2 and the integral-valued cont ribution R to the conserved projection J of the total angular momentum of the nucleus is generated by the closed tunnel current of pairs of correlated nucleons.