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REINA() DE TRABALHO SOBRE FiSICA NUCLEAR NO BRASIL

REINA() DE TRABALHO SOBRE FiSICA NUCLEAR NO BRASIL

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XX R,TFNB liesurnos - 02/09/97 25<br />

A STUDY OF SHAPE DIFFUSION IN HOT<br />

NUCLEI<br />

B. V. CARLSON<br />

Institute Teenologico de Aerondutica - CTA<br />

F. B. GuimARAEs<br />

EA N-N Institute de Estudos Aucincedes - CTA<br />

The velocity of the changes in shape of a hot nucleus is<br />

important in several types of nuclear reactions. In some<br />

cases, fission of hot nuclei seems to be hindered relative<br />

to neutron emission due to the inability of the nuclei to<br />

change shape with sufficient speed[1,2]. On the other<br />

hand, if shape changes are sufficiently fast, the spectrum<br />

of statistical giant dipole photons is expected to<br />

become narrower[3].<br />

We estimate the speed of the shape changes assuming<br />

that the evolution in nuclear shape is a completelydamped<br />

statistical process. To calculate the shape diffusion<br />

coefficients of a hot nucleus out to the scission<br />

point, we generalize the microscopic model of shape diffusion<br />

of Bush, Bertsch and Brown[4]. As they do, we<br />

completely neglect collective 'notion and treat the dynamics<br />

of shape changes as a purely diffusive process.<br />

We use a double-centered assymetric oscillator potential<br />

to describe the nuclear shapes, in order to apply<br />

the model to highly deformed nuclei. We then assume<br />

the diffusive dynamics to be a result of the two-body<br />

residual transitions between states and calculate them.<br />

using the static Nilsson one-body orbitals of the underlying<br />

oscillator potential. As the number of contributing<br />

transitions grows rapidly with the temperature of the<br />

system, we do not calculate them all but sample them<br />

using a Monte Carlo technique.<br />

Preliminary results show that our results are are in slightly<br />

better agreement with the experimental data than<br />

those of Ref. [4], but that neither of the two can explain<br />

the data.<br />

[1] A. Gavron et al., Phys. Rev. C 35, 579 (1987).<br />

[2]M. Thoennessen et al., Phys. Rev. Lett. 57, 2860<br />

(1989).<br />

[3]R. Broglia el al., Phys. Rev. Lett. 53, 326 (1987).<br />

[4]B.W. Bush, G.F. Bertsch and B.A. Brown, Phys.<br />

Rev. C 45, 1709 (1992).<br />

RELATIVISTIC HARTR.EE-BOGOLIIIBOV<br />

APPRoxrivIATION<br />

A.. C. <strong>DE</strong> CONTI, B. V. CARLSON<br />

Institute Teenelogiee de Aerondutica - CTA<br />

The experimental study of nuclei far from the valley of<br />

stability has motivated a great deal of interest in nuclear<br />

structure calculationsof the observed nuclei. One<br />

difficulty of these calculations is their need to extrapolate<br />

the parameters used in the effective interaction<br />

from the stable region, where they are well determined,<br />

to the region of interest. Relativistic models, which<br />

describe the nucleus in terms of Dirac. nucleons interac-<br />

Ling by meson exchange, offer the hope of being more<br />

fundamental than the others and, thus, of permitting<br />

such an extrapolation with no substantial changes in<br />

parameters.<br />

We have derived self-consistency equations for pairing<br />

mediated by meson exchange and have implemented<br />

these in a relativistic llartrce code for axially-deformed<br />

nuclei. We arc currently using it to study several isotopic<br />

chains. Results obtained to date will be discussed.

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