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Digitale Medien

Complete solution of the cranked harmonic oscillator (1979)

Troudet, T. ; Arvieu, R.

Springer

The European physical journal 291 (1979), S. 183-188

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ISSN: 1434-601X

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract A complete solution of the cranked harmonic oscillator is given in a model in which the energy is minimized with constant volume and constant angular momentum. Two extreme regimes emerge for the configurationsΣ 1,Σ 2,Σ 3: at low 〈L 1〉 the nucleus tends to become more symmetric around its rotation axis, at high 〈L 1〉 its elongation is increased. The oblate regime marks the separation between these two. The condition of stability of the oblate regime is discussed.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01438000

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Digitale Medien

An ensemble of random particle-hole matrices with collective eigenstates (1977)

Touchard, J. ; Haq, R. U. ; Arvieu, R.

Springer

The European physical journal 282 (1977), S. 191-201

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ISSN: 1434-601X

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract An ensemble of random particle-hole matrices is studied as a function of the signs of the matrix elements. When all matrix elements have the same sign, a theorem due to Perron ensures the existence of a coherent state: the collective particle-hole state. The example of Gamow-Teller transitions between208Bi(1+) and208Pb(0+) is considered and the strength of the Gamow-Teller giant resonance as well as the fluctuations in the ensemble are studied. When a fractionp of matrix elements are of opposite sign, we find that a giant resonance may still exist providedp is small enough. Its magnitude and position in the spectrum are studied. The method proposed is valid for any particle hole excitation. The two body matrix elements of several interactions are analysed and are shown to fit into a unique valuep=0.2 for the 1 + states.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01408163

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Pictures of quantum nuclear rotation beyond the correspondence principle (2000)

Arvieu, R. ; Rozmej, P.

Springer

EPJ direct 1 (2000), S. 1-18

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ISSN: 1435-3725

Schlagwort(e): 03.65.Sq ; 03.65.Ge ; 21.10Re ; 21.10Ev

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract We analyze the time evolution of simple nuclear rotational wave packets (WP) called circular, linear or elliptic, depending on squeezing parameter, assuming that $$E=\hbar\omega_0 I(I+1)$$ . The scenario of fractional revivals found by Averbukh and Perelman is adapted to symmetric WP and compared to that which holds for asymmetric WP. In both cases various shapes are identified under these lines in particular many cases of cloning. ‘Mutants’ WP are found most often. Finally the time evolution of a WP formed by Coulomb excitation on 238U and calculated by semiclassical theory is also presented.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/s1010599a0001

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