Review of models for fusion

Krappe, H. J.

doi:10.1007/3-540-09965-4_25

Cited by 8 publications

(4 citation statements)

References 59 publications

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“…Let us indeed consider the partial wave I~ for which Vc+Ic(lc+l)h2/2#r~ is equal to E. For l< l~, the transmission coefficients are close to unity and for t> I~ they are close to zero. The sum in (1) is thus approximately limited to tc and one finds the usual high-energy behaviour [2][3][4]8] ar ~-~r~(l -VIE).…”

Section: =0mentioning

confidence: 99%

“…0340-2193/82/0306/0079/$02.00 either when the Coulomb plus centrifugal barrier has been passed through, either when a critical distance of approach r~ has been reached [8,[2][3][4]. The fusion cross section is defined as [2] a r = 7t22 ~ (i + (-1) '+ 2, 5/(2I + 1)) (21 + 1) T z…”

Section: Principlementioning

confidence: 99%

“…Even at low energy, the reaction mechanism involves a large number of channels and cannot at present be treated microscopically. The models used to describe the experimental data are therefore mainly macroscopic or phenomenological [2,3]. Among them, the simplest ones are barrierpenetration models.…”

Section: Introductionmentioning

confidence: 99%

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A barrier-penetration model for heavy-ion fusion, valid at all energies

1982

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We present a barrier-penetration model for heavy-ion fusion valid from the lowest energies available up to the largest energies for which the critical-radius picture is realistic. The parameters of the model are a critical radius and the parameters of a nucleus-nucleus interaction, whose form factor can be chosen freely. Fusion cross sections for a large number of systems, for which low-energy data exist, are fitted with a Woods-Saxon potential. Realistic parameters are obtained for the Coulomb barrier. Different applications and some limitations of the model are discussed.

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Section: =0mentioning

confidence: 99%

Section: Principlementioning

confidence: 99%

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A barrier-penetration model for heavy-ion fusion, valid at all energies

1982

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“…The results obtained elucidated to a considerable extent the picture of this interesting phenomenon and deserve a special consideration. Several publications considered various aspects of this problem (Schroder and Huizenga 1977, Birkelund et a1 1979, Nix and Sierk 1979, Krappe 1979, Swiatecki 1980, b, Vaz et a1 1981. To summarise the data accumulated one can say that at present the use of the A 3 6 0 ion beams looks unpromising for SHE synthesis in complete-fusion reactions.…”

Section: E*mentioning

confidence: 99%

Superheavy nuclei

1983

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The problem of the nuclear stability of superheavy chemical elements began to attract a great deal of attention soon after the methods of calculating their nuclear deformation energy had been developed and significant fission barriers had been predicted for superheavy nuclei having proton and neutron numbers close to the magic numbers 2 = 114 and N = 184.Experiments to produce superheavy nuclei in heavy-ion reactions have so far been unsuccessful. However, some data show that the possibilities of producing cold compound nuclei were not used in the 48Ca-induced reactions. Therefore the corresponding experiments should be repeated. It is not excluded that superheavy element (SHE) nuclei could be produced in deep inelastic transfer reactions involved in the system Cm + 2 3 8 ~.Consideration of the mechanisms of nucleosynthesis and halflife calculations show that there is a small probability for superheavy nuclei to exist in nature. In studies of the tracks of cosmic-ray nuclei in meteoritic olivines some long tracks, supposedly due to nuclei with 2 = 110, have been observed. Their flux is nearly 300 times smaller than those of the thorium-uranium group nuclei.Searches for superheavy elements in some primitive meteorites and hot brines have resulted in the detection of a spontaneously fissioning nuclide, possibly belonging to a new island of stability. The low concentration of this nuclide (about g/g (1 part in in the Allende meteorite) makes its identification difficult. Searches should be made for geological samples whose formation process might lead to a greater concentration of the hypothetical superheavy elements relative to the average concentration in the Earth's crust. 248

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Superheavy Elements

Флеров¹,

Ter‐Akopian²

1985

Treatise on Heavy-Ion Science

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Review of models for fusion

Cited by 8 publications

References 59 publications

A barrier-penetration model for heavy-ion fusion, valid at all energies

A barrier-penetration model for heavy-ion fusion, valid at all energies

Superheavy nuclei

Superheavy Elements

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