Surface alpha-clustering in the lead region

Fließbach, Torsten; Okabe, Satoshi

doi:10.1007/bf01881277

Cited by 12 publications

(6 citation statements)

References 12 publications

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“…This is connected with the exponential decrease of bound single particle wave functions [29]. The inclusion of narrow single particle resonances is not able to cure this deficiency [30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Evidence forαclustering in heavy and superheavy nuclei

Delion

Săndulescu²,

Greiner

2004

Phys. Rev. C

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We analyze the ␣ decay between ground states along N − Z chains in deformed heavy and superheavy nuclei, by using the pairing approach. We show that the derivative of the preformation amplitude is practically a constant along any ␣ chain, while that of the outgoing wave function changes exponentially upon the Coulomb parameter. This leads to the breakdown of the continuity equation and therefore to wrong decay widths. The behavior cannot be explained within the standard shell model. We significantly correct this deficiency by considering an ␣-cluster factor in the preformation amplitude, depending exponentially upon the Coulomb parameter. Thus, four-body correlations, connected with the radial shape of the preformation factor, are directly evidenced by the ␣-decay systematics. Moreover, this procedure, in principle, fully determines the Q value and is an important development in the ␣-decay theory. It also allows us to analyze the relative ␣-clustering structure of the emitter. It turns out that the isotopes close to the region N Ͼ 126 and superheavy nuclei have a stronger clustering behavior. For superheavy region an additional dependence upon the number of interacting ␣ particles is necessary.

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Section: Introductionmentioning

confidence: 99%

Evidence forαclustering in heavy and superheavy nuclei

Delion

Săndulescu²,

Greiner

2004

Phys. Rev. C

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“…This projection property is required for defining a proper quantum mechanical probability (7). Cluster spectroscopic factors found in the literature before 1975 are those which result from the neglect of the norm operator in (10); in contrast to S we call them conventional spectroscopic factor S .... 226Th _+ 160 + 210pb (11) The corresponding conventional spectroscopic factors are smaller by factors of the order 300, 106 , 108 and 1012, respectively.…”

Section: Spectroscopic Factormentioning

confidence: 98%

“…The decay constants obtained by proper consideration of this effect are of the right order of magnitude. Alternative attempts to solve the problem of absolute decay rates by extensive configuration mixing are discussed in [7].…”

Section: Alpha Decaymentioning

confidence: 99%

From ?-decay to exotic decays ? a unified model

Blendowske

Fließbach

Walliser

1991

Z. Physik A - Hadrons and Nuclei

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The possibility of extending the microscopic e-decay theory to exotic decay modes is investigated. It is argued that the strong Pauli distortions in the antisymmetrized wave function of the open channel favour this possibility. The microscopic description can be reduced to a onebody picture; the structure information is then contained in a spectroscopic factor. Existing microscopic calculations from ~-up to 160-decays justify a simple unified bulk formula for the spectroscopic factor. In this way a semiemp]rical formula for the decay constant is obtained depending on 1 parameter only (for odd and even nuclei, respectively). This formula describes all decay modes in a unified way and yields an excellent reproduction of the known exotic decay rates. It is thus well-suited for the unambiguous prediction of yet unmeasured decay constants. PACS: 23.60. + e; 29.90. + w; 21.60.Gx

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“…The above integral depends only upon the relative radius between the daughter nucleus and the emitted cluster. We neglect the core-cluster antisymmetrization, because we estimate the overlap for distances beyond the geometrical nuclear radius, where the Pauli principle becomes less important [28]. For k = 0, one uses the ground state in the daughter nucleus instead of a QRPA excitation.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Systematics of the α decay to vibrational2+states

2005

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We give a systematic analysis of α decays to low-lying 2 + states in even-even nuclei. Collective excitations are considered within the spherical quasiparticle random-phase approximation. We use realistic G-matrix elements of the Bonn interaction as a residual two-body force. The only free parameters are the ratio between the isovector and isoscalar strengths and proton-neutron asymmetry. The formalism can reproduce the main experimental trends versus the excitation energy for both the B(E2) values and the α-decay hindrance factors. We reproduced most of the available data by using one common parametrization. It turns out that the fine structure of the α decay is more sensitive than electromagnetic transitions as a tool for investigating nuclear interaction. With the adopted parametrization, we predict B(E2) values and α-decay hindrance factors in even-even nuclei.

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Surface alpha-clustering in the lead region

Cited by 12 publications

References 12 publications

Evidence forαclustering in heavy and superheavy nuclei

Evidence forαclustering in heavy and superheavy nuclei

From ?-decay to exotic decays ? a unified model

Systematics of the α decay to vibrational2+states

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