Spectroscopic information from nuclear reactions: Applications

Fließbach, Torsten

doi:10.1007/bf01408653

Cited by 16 publications

(10 citation statements)

References 14 publications

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“…The factor of two in the amplitude, necessary to fit experiment, can again partly be due to the same empirical bound states. It could also in part be due to the antisymmetrization effects as discussed by Fliessbach et al [15,16] as mentioned above. It is significant that the factors necessary in the one-step and in the simultaneous two-cluster transfers are very consistent with each other.…”

Section: Iv3 Discussion Of Resultsmentioning

confidence: 90%

“…The above discussion of the form factors stays in the usual framework of direct reaction theory and neglects the effect of antisymmetrization on the relative wave function, which has been extensively discussed by Fliessbach et al [15,16]. However, our analysis will not be affected by this in an essential way because of the following reason [16]: heavy ion reactions are sensitive ,only at, and outside of the nuclear surface, where the effect of antisymmetrization on the shape of the relative motion wave function is small.…”

Section: Form Factorsmentioning

confidence: 99%

“…This could be done in any of the expressions of (15), but this would correspond to different approximations and thus yield different results 9 Since we want to compare the contributions of simultaneous and sequential two-cluster transfer it is reasonable to choose the orbitals in the same system of coordinates as for the sequential transfer 9 Therefore we specify the orbitals in the form (15b). (We could equally well have chosen (15 c), which agrees with the other sequence of sequential transfers 9 Furthermore with the approximation of (12) the residual interactions are given in the same coordinates as the orbitals in (16) …”

Section: Form Factorsmentioning

confidence: 99%

“…Here we use phenomenological cluster-nucleus potentials in the framework of direct reaction theory [14] and essentially neglect antisymmetrization. Effects of antisymmetrization in such approaches have been analyzed by Fliessbach et al [15,16] and will be discussed again later on.…”

Section: Introductionmentioning

confidence: 97%

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Simultaneous and sequential transfer of proton and alpha-particle in elastic11B+16O scattering

Kamys

Rudy

Kisiel

et al. 1992

Z. Physik A - Hadrons and Nuclei

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We have developed a method to treat multi-nucleon transfer as the transfer of two -possibly different -subclusters, as e.g. with "5Li"=(~ p). As a consequence we take into account two reaction mechanisms, the one-step simultaneous and the two-step sequential transfer of the two clusters. We formulate the method of calculation of the simultaneous transfer form factor for two non-identical particles and also of the two-cluster spectroscopic amplitudes from shell model wave functions. We apply the method to the elastic transfer reaction 11B(160,UB)UO together with the single e and p transfer reaction 11B(160,15N)12C for Ela b between 30 and 60 MeV. We obtain a consistently good description of all the data by reasonable adjustment of the spectroscopic amplitudes. In particular we find that the simultaneous (ep) transfer is considerably more important than the sequential transfer indicating strong five-nucleon correlations in these light nuclei.

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Section: Iv3 Discussion Of Resultsmentioning

confidence: 90%

Section: Form Factorsmentioning

confidence: 99%

Section: Form Factorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 2 more Smart Citations

Simultaneous and sequential transfer of proton and alpha-particle in elastic11B+16O scattering

Kamys

Rudy

Kisiel

et al. 1992

Z. Physik A - Hadrons and Nuclei

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“…(Formally, (1-Is -1/2 is 1 when applied to )~f in (3.3)). A more detailed discussion of specific examples will be given in [9].…”

Section: Resultsmentioning

confidence: 99%

Spectroscopic information from nuclear reactions: theory

Fließbach

1978

Z Physik A

Self Cite

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We consider the transition matrix element for the removal of an a-particle or a nucleon from a nucleus. Our simple model yields, in two limiting cases, different reduced amplitudes for the bound state functions of the removed particle. We shall call these amplitudes the conventional, G ..... and the new, G .... respectively. The transition between these limits is contained in the model. The parameter which describes the transition is the momentum transferred to the removed (or added) particle.

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On Fliessbach's approaches to direct reactions

Lovas

1985

Z Physik A

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The conventional models of direct cluster reactions treat the nuclear wave-function overlaps or reduced-width amplitudes as single-particle wave functions, which is contrary to the Pauli principle. The motivation of Fliessbach's two approaches reviewed in this paper is to improve on these models by a proper treatment of antisymmetrization. Fliessbach's approaches involve redefined reduced-width amplitudes, which can be regarded as single-particle wave functions. We show, however, that in the approach specialized to transfer reactions the antisymmetrization is in fact treated incorrectly, and the more general approach seems applicable only to processes that involve just two nuclear fragments, like c~ decay or radiative capture. We outline how single-particle wave functions can be used correctly in approximating reduced-width amplitudes. We show that our approach helps to bring the phenomenological spectroscopic factors into agreement with the nuclear structure models.

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Spectroscopic information from nuclear reactions: Applications

Cited by 16 publications

References 14 publications

Simultaneous and sequential transfer of proton and alpha-particle in elastic11B+16O scattering

Simultaneous and sequential transfer of proton and alpha-particle in elastic11B+16O scattering

Spectroscopic information from nuclear reactions: theory

On Fliessbach's approaches to direct reactions

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