Calcul des effets des corrélations de paires sur les transitions E1 dans les noyaux de masse impaire de la région des terres rares

Monsonego, G.; Piepenbring, R.

doi:10.1016/0029-5582(64)90569-3

Cited by 20 publications

(3 citation statements)

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“…to near cancellation of the two terms in R (25.6 ke V ' transition in Dy161 and 320 keY transition in Hfl77) such is not the case, but it s~ems normal for the cancellation to be very sensitive to small differences in the methoas of computation or in the single~particle levels used. The further refinement carried out by Monsonego and Piepenbring 17) of projecting only the BCS component with correct particle number does not in itself seem to reduce materially the remaining discrepancies found by all of us. From the preceding discussion, we can conclude that the simple inclusion of, a pairing reduction factor R multiplying the Nilsson single-particle transition probability P N does not yield a satisfactory rate theory for the El transitions in deformed nuclei.…”

Section: Discussionmentioning

confidence: 99%

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Influence of pairing correlations on E1 transition probabilities in odd-mass deformed, rare-earth nuclei

Vergnes

Rasmussen

1965

Nuclear Physics

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Theoretical calculations of E1 and E3 transition rates for deformed rare-earth nuclei are made, taking into account the retarding effect of pairing correlations. It is found that pairing correlation correction factors R improve the general agreement with experiment for one class ,of transition, viz. E1 with LlK = ± 1. However, the factors R generally cause poorer agreement for E1 with LlK = 0 and for E3 than results from simple use of Nilsson single-particle wave functions with no pairing corrections. The importance of taking into account wave function ~omponents admixed by the Corio lis coupling is illustrated by a calculation fitting the many E1' transition rates between two bands in Hf1" . 'It is further suggested that effects due to-ihreequasi-particle components (or, in other language, octopole phonon or' "effective charge" effects) are probably of great importance and deserve further study.

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Section: Discussionmentioning

confidence: 99%

“…. this work:, we have received two preprints 16,17) dealing with thecomputatioil of the pairing reduction factor and compared their results with ours. It can be concluded that,-when the pairing reduction factor is not too small, the different methods of computation g~ve results which are in reasonable agreement.…”

Section: Discussionmentioning

confidence: 99%

Influence of pairing correlations on E1 transition probabilities in odd-mass deformed, rare-earth nuclei

Vergnes

Rasmussen

1965

Nuclear Physics

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“…Il faut noter toutefois que la valeur plus ou moins grande de B(E2) ne permet pas de conclure quant à la nature plus ou moins collective du niveau. En effet, si on récrit (6)(7)(8)(9)(10)(11) pour un état k = ko -2 sous la forme : et si p est le rapport de l'élément de matrice quadrupolaire entre les états individuels 1 k > et 1 ko > à l'élément de matrice quadrupolaire collectif la transition entre 1 k , > et iI/, > s'écrit La formule (2-111) montre en effet qu'il peut y avoir des interférences positives dans le cas où , i 3 > 0.…”

Section: Introductionunclassified