The dynamics of the fusion of two nuclei

Swiatecki, W.J.

doi:10.1016/0375-9474(82)90065-3

The dynamics of the fusion of two nuclei

W.J. Swiatecki

1982

17 pages

Published in:

Nucl.Phys.A 376 (1982) 275-291

Published: 1982

DOI:

10.1016/0375-9474(82)90065-3

View in:

Nuclear Science References

reference search188 citations

Citations per year

Abstract: (Elsevier)

The prediction of the need for an extra push over the interaction barrier in order to make the heavier nuclei fuse is made the basis of a simple algebraic theory for the energy dependence of the fusion cross section. The predictions are compared with recent experiments. A graphical construction, designed to extract directly the three parameters of the theory, suggests about 33 for the effective fissility ( Z 2 / A ) eff [defined as 4Z 1 Z 2 /A 1 3 1 A case1 3 2 (A 1 3 1 + A 1 3 2 )] beyond which an extra push is needed, determines the initial rate of increase of the square root of the extra push (in MeV) as about one per unit excess of ( Z 2 / A ) eff over 33 and indicates an effective centrifugal repulsion opposing fusion (in cases when angular momentum is present) not very different from that expected for two spheres rolling on each other without sliding.

References(24)

Figures(0)

[1]

The dynamics of nuclear coalescence or reseparation

W.J. Swiatecki

[1]

Calculation of compound-nucleus cross sections for symmetric very-heavy-ion reactions

J.Rayford Nix
(
- Los Alamos
)
,
Arnold J. Sierk
(
- Caltech, Kellogg Lab and
- Los Alamos
)

- Phys.Rev.C 15 (1977) 2072-2082
•
DOI:
- 10.1103/PhysRevC.15.2072

[2]

W.J. Swiatecki

- Prog.Particle and Nucl.Phys. 4 (1980) 383

[2]

[3]

J. Randrup
,
W.J. Swiatecki

- Annals Phys. 124 (1980) 193

[3]

J. Blocki
,
Y. Boneh
,
J.R. Nix
,
J. Randrup
,
M. Robel

et al.

- Annals Phys. 113 (1978) 338

[4]

Fusion reaction studies of transuranic nuclei

H. Sann
,
S. Bjørnholm
,
R. Bock
,
Y.T. Chu
,
A. Gobbi

et al.

[4]

contribution to

A. Gobbi

[Sann et al, Feb 1981]

Deformability as a critical factor in initiating fusion between very heavy ions

H. Sann
,
R. Bock
,
Y.T. Chu
,
A. Gobbi
,
A. Olmi

et al.

[Sann et al, Feb 1981]

Fusion of heavy nuclei in a classical model

R. Bass

- Nucl.Phys.A 231 (1974) 45-63
•
DOI:
- 10.1016/0375-9474(74)90292-9

[6]

Proximity forces

- Annals Phys. 105 (1977) 427-462
•
DOI:
- 10.1016/0003-4916(77)90249-4

[6]

A generalization of the proximity force theorem

J. Blocki
,
W.J. Swiatecki

[7]

Fusion barriers, empirical and theoretical: evidence for deformation in subbarrier fusion

L.C. Vaz
,
J.M. Alexander
,
G.R. Satchler

[8]

preprint IKDA 80/9

F. Beck
,
J. Blocki
,
M. Dworzecka
,
H. Feldmeier

[8]

H. Feldmeier

- Nukleonika 25 (1980) 171

[8]

J. Blocki
,
F. Beck
,
M. Dworzecka
,
H. Feldmeier

- Proc.Int.Workshop on gross properties of nuclei and nuclear excitations VIII (1980) 157

[8]

Application of one-body dissipation to deep inelastic heavy ion scattering

- Phys.Lett.B 76 (1978) 35-38
•
DOI:
- 10.1016/0370-2693(78)90093-X

[9]

especially fig. 8.

S. Frankel
,
N. Metropolis

- Phys.Rev. 72 (1947) 914

[10]

especially figs. 24, 26, 29 and 30.

S. Cohen
,
W.J. Swiatecki

- Annals Phys. 19 (1962) 67

[10]

especially figs. 1 and 2.

- Annals Phys. 22 (1963) 406

[11]

especially

A. Bohr
,
B.R. Mottelson

- Nuclear structure vol.II (1975) 395

[12]

THE SUPERFLUID WALL FORMULA FOR NUCLEAR DISSIPATION

- Nucl.Phys.A 339 (1980) 219-226
•
DOI:
- 10.1016/0375-9474(80)90088-3

[13]

Theories of nuclear fission

L. Wilets

[14]

private communication

W. Nörenberg