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Sum rules for charge transition density

Abstract

The form factors of the quadrupole and octupole oscillations of the /sup 12/C nucleus are compared with the predictions of the sum rules for the charge transition density (CTD). These rules allow one to obtain various CTDs which contain the components k: r/sup lambda + 2k-2/rho(r) and r/sup lambda + 2k-1)(drho(r)/dr) (k = 0, 1, 2...) and can be applied to analyze the inelastic scattering of high energy particles by nuclei. It is shown that the CTD under consideration have different radius dependence and describe the data essentially better (though ambiguously) than the Tassy and Steinwedel-Jensen models do. Recurrence formulas are derived for the ratios of the higher-order transition matrix elements and CTD. These formulas can be used to predict the CTD behavior for highly excited nuclear states.
Authors:
Gul'karov, I S [1] 
  1. Tashkentskij Politekhnicheskij Inst. (USSR)
Publication Date:
Jan 01, 1979
Product Type:
Journal Article
Reference Number:
AIX-11-504268; EDB-80-074448
Resource Relation:
Journal Name: Yad. Fiz.; (USSR); Journal Volume: 29:1
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 12; MULTIPOLE TRANSITIONS; CARBON 12 TARGET; ELECTRON REACTIONS; INELASTIC SCATTERING; CHARGE DENSITY; ENERGY LEVELS; FORM FACTORS; MATRIX ELEMENTS; OSCILLATIONS; SUM RULES; CARBON ISOTOPES; CHARGED-PARTICLE REACTIONS; ENERGY-LEVEL TRANSITIONS; EQUATIONS; EVEN-EVEN NUCLEI; ISOTOPES; LEPTON REACTIONS; LIGHT NUCLEI; NUCLEAR REACTIONS; NUCLEI; PARTICLE PROPERTIES; SCATTERING; STABLE ISOTOPES; TARGETS; 651313* - Nuclear Properties & Reactions, A=6-19, Theoretical- Energy Levels & Transitions- (-1987); 651315 - Nuclear Properties & Reactions, A=6-19, Theoretical- Nuclear Reactions & Scattering- (-1987)
OSTI ID:
5457584
Country of Origin:
USSR
Language:
Russian
Other Identifying Numbers:
Journal ID: CODEN: YAFIA
Submitting Site:
INIS
Size:
Pages: 57-64
Announcement Date:
May 01, 1980

Citation Formats

Gul'karov, I S. Sum rules for charge transition density. USSR: N. p., 1979. Web.
Gul'karov, I S. Sum rules for charge transition density. USSR.
Gul'karov, I S. 1979. "Sum rules for charge transition density." USSR.
@misc{etde_5457584,
title = {Sum rules for charge transition density}
author = {Gul'karov, I S}
abstractNote = {The form factors of the quadrupole and octupole oscillations of the /sup 12/C nucleus are compared with the predictions of the sum rules for the charge transition density (CTD). These rules allow one to obtain various CTDs which contain the components k: r/sup lambda + 2k-2/rho(r) and r/sup lambda + 2k-1)(drho(r)/dr) (k = 0, 1, 2...) and can be applied to analyze the inelastic scattering of high energy particles by nuclei. It is shown that the CTD under consideration have different radius dependence and describe the data essentially better (though ambiguously) than the Tassy and Steinwedel-Jensen models do. Recurrence formulas are derived for the ratios of the higher-order transition matrix elements and CTD. These formulas can be used to predict the CTD behavior for highly excited nuclear states.}
journal = []
volume = {29:1}
journal type = {AC}
place = {USSR}
year = {1979}
month = {Jan}
}