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4 edition of Electric quadrupole moments of the first 2+ states of even nuclei found in the catalog.

Electric quadrupole moments of the first 2+ states of even nuclei

Electric quadrupole moments of the first 2+ states of even nuclei

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Published by UkrNIINTI in Kiev .
Written in English


Edition Notes

StatementA.S. Davydov, V.I. Ovcharenko.
ContributionsOvcharenko, Viktor Ivanovich.
Classifications
LC ClassificationsMicrofilm 86/2318 (Q)
The Physical Object
FormatMicroform
Pagination23 p.
Number of Pages23
ID Numbers
Open LibraryOL2358026M
LC Control Number86892512

liquid drop with a quadrupole moment, representing an even nucleus, predicts one 2+-state with a ‘collective’ i.e. enhanced E2-transition width. In this model the intrinsic structure for the ground state 0+ and the lowest 2+-state r are assumed to be the same. Then the reduced matrix element (in e∙fm2) of the electric quadrupole. where is the electric charge density of the localized object, in this case the nucleus. It is clear that this is a object by inserting, in which case we find.. Just as we did for the magnetic moment interaction and hence defining the magnetic moment of a nucleus wish to use eq. to define the quadrupole moment of a us choose to evaluate the diagonal matrix element of between.

The reduced electric quadrupole transition strengths B(E2) from the first excited 2+ +state to the ground 0 state of some even-even Neon isotopes (18,20,22,24,26,28Ne) have been calculated. All studied isotopes composed of 16O nucleus that is considered as an inert core and the other valence particles considered to move over. For even-even nuclei, rotational energy levels are much simpler than in odd-even or odd-odd nuclei. Therefore, even-even nuclei are preferentially used to extract B(E2) values and to deduce the intrinsic quadrupole moment. However, the B(E2) connects two states and extraction of quadrupole moment of a respective state is theory.

Mathematical definition. The quadrupole moment tensor Q is a rank-two tensor—3×3 matrix. There are several definitions, but it is normally stated in the traceless form (i.e. + + =).The quadrupole moment tensor has thus 9 components, but because of transposition symmetry and zero-trace property, in this form only 5 of these are independent.. For a discrete system of point charges or masses. for all the nuclei considered, we use the same finite-range nucleon-nucleon interaction. We apply our model to the evaluation of electric quadrupole and magnetic dipole moments of odd-even nuclei around oxygen, calcium, zirconium, tin and lead isotopes. Our Random Phase Approximation.


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Electric quadrupole moments of the first 2+ states of even nuclei Download PDF EPUB FB2

Wave functions and matched effective-charge models are presented for ground states of odd-even and doubly odd nuclei and for J =2+ first-excited states of doubly even sd-shell nuclei. INTRODUCTION Static electric quadrupole moments of nuclear states provide fundamental information about nuclear deforma-tions.

Their variations in sign and. Available experimental information on the static electric quadrupole moments Q 2+ of the 2 + first excited states of even-mass nuclei in the 2s1d shell is tabulated and critically reviewed, and “adopted values” are presented.

The results reveal a well defined pattern for the variation of Q 2 Cited by: @article{osti_, title = {Tables of E2 transition probabilities from the first 2+ states in even-even nuclei [B(E2) evaluation for 0+1 → 2+1 transitions in even-even nuclei]}, author = {Pritychenko, B.

and Birch, M. and Singh, B. and Horoi, M.}, abstractNote = {A complete B(E2)↑ evaluation and compilation for even-even nuclei has been. FIG. (a) Energies of the first-excited 2 + states in even-even nuclei and (b) their corresponding reduced electric quadrupole transition probability B(E2)↑ values.

This figure is based on the. Due to the quadrupole moment the hyperfine levels of deformed nuclei do not obey this interval rule, but are slightly shifted by the energy E Q either upwards or downwards, depending on the sign of the electric field gradient and the sign of in.

The measurements are subject to large errors since the gradient is often inaccurately known. references on quadrupole moments of odd nuclei and of the 2+ states in even-even ones and add some new calcula-tions for odd unstable nuclei.

In addition, we include here some results of [11] for the quadrupole moments of odd-odd nuclei neighboring to the double magic ones. Table of Nuclear Magnetic Dipole and Electric Quadrupole MomentsOxford Physics, Clarendon Laboratory Parks Road, OXFORD OX1 3PU U.K.

This Table is a compilation of experimental measurements of static magnetic dipole and electric quadrupole moments of ground states and excited states of atomic nuclei throughout the periodic table.

In This link it says closed shell nuclei cannot exhibit quadrupole oscillations because if their Stack Exchange Network Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to.

RAPID COMMUNICATIONS PHYSICAL REVIEW A 88, (R) () Magnetic dipole and electric quadrupole moments of the Th nucleus M. Safronova,1,2 U. Safronova,3 4 A. Radnaev,5 6 C. Campbell, 6and A.

Kuzmich 1Department of Physics and Astronomy, University of Delaware, Newark, DelawareUSA 2Joint Quantum Institute, NIST and the University of Maryland. Table of nuclear magnetic dipole and electric quadrupole moments q N.J.

Stone Oxford Physics, Clarendon Laboratory, Oxford OX1 3PU, UK Abstract The table is a compilation of experimental measurements of static magnetic dipole and electric quadrupole moments of ground states and excited states of atomic nuclei throughout the periodic table.

The electric quadrupole moment has the units of Coulomb x meter is sometimes tabulated in units of e x cm 2 where e is the electron charge. In nuclear cross-section measurements, the quantity cm 2 is called a "barn" and is represented by b.

So sometimes the quadrupole unit is written "eb" for electron-barns. experimental results in a consistent way. The electric quadrupole moment of the first 2+ state in even-even nuclei represents a precise comparison point for testing the validity of nuclear models.

The combination of well established experimental techniques with new technologies in. The electric quadrupole moments of the 9/2− and 21/2− isomeric states of Ta at keV and keV, respectively, were measured as Q(9/2−)=(15) b and Q(21/2−)=(18) b for the first time using the TDPAD technique.

A 66 MeV pulsed 12C ion beam from the 15UD pelletron accelerator facility of the Nuclear Science Centre at New Delhi was used in the reaction Ho(12C. Exotic nuclei Moments of exotic ground states from projectile fragmentation Rotation of the nuclear spins during recoil separation β-NMR measurements on spin polarized fragment beams β-nuclear quadrupole resonance measurements on spin polarized fragment beams   (iii) The quadrupole moments of tin in the 11/2 − states are by a factor of about two larger in magnitude than those in the 3/2 + states.

This is consistent with a stronger quadrupole. The quadrupole moments which have been measured predominantly by this method are those of the first excited 2 + states of even nuclei. The interest in the reorientation method is obvious.

It opens up a new possibility to measure static quadrupole moments of excited states in a large number of nuclei. The Electric Quadrupole moment can be simply thought of, in these units, as (minus) the area enclosed by the orbit of the proton.

Estimating the radius of the orbit as approximately that of the nucleus r o A 1/3 would give a quadrupole moment x m 2. This is pretty close to the observed value considering the crudeness of the model. Some statistics: The table contains measured quadrupole moments of nuclei of 95 elements between hydrogen and einsteinium (Z = 99) Of these are either stable or radioactive ground states or long-lived isomers are short lived excited states No measurements for: He and the trans lead elements Cm, Bk and Cf.

Electric Quadrupole. A general distribution of electric charge may be characterized by its net charge, by its dipole moment, its quadrupole moment and higher order elementary quadrupole can be represented as two dipoles oriented antiparallel.

One of the most common uses of the electric quadrupole is in the characterization of nuclei. The electromagnetic properties can be calculated with the obtained wave functions.

If the first 2'1" state arises from the unperturbed state v. LOPAC l{C/o)2 0,12}2> its electric quadrupole moment is proportional to a2 in the lowest order and can be written in the form ^-((J ^){^). The static electric quadrupole moments of the first excited states of,Nd Sum-rule approach to the static quadrupole moments of arbitrary excited states in even-even nuclei Transition quadrupole moments of high-spin states in Os.2 describe the cgs esu system in a later chapter; suffice it here to say that a cgs esu of dipole moment is about × 10 −12 C m, and a debye (D) is 10 −18 cgs esu.

An atomic unit of electric dipole moment is a0e, where a0 is the radius of the first Bohr orbit for hydrogen and e is the magnitude of the electronic charge. An atomic unit of dipole.Nuclear electric dipole moment p is zero for all nuclides in ground state as well as in non-degenerate excited states.

This can be explained by law of conservation of parity. Quadrupole moment and charge distribution in nuclides. The quadrupole moment of a nuclide having charge density ρ(r) is defined classically as.

Q = ∫ρ(r)(3z²-r²)dV (8).