SKYRME–HARTREE–FOCK CALCULATIONS OF FISSION BARRIERS OF THE HEAVIEST AND SUPERHEAVY NUCLEI

2005 ◽  
Vol 14 (03) ◽  
pp. 395-402 ◽  
Author(s):  
ANDRZEJ STASZCZAK ◽  
JACEK DOBACZEWSKI ◽  
WITOLD NAZAREWICZ

Self-consistent Skyrme–Hartree–Fock (SHF) calculations of static fission barriers are presented for even-even Fermium isotopes as well as for superheavy even-even N=184 isotones. In the particle-hole channel, we use the SLy4 Skyrme parametrization, while in the particle-particle channel we take a T=1 seniority pairing force treated in the BCS approximation. The influence of reflection-asymmetric and triaxial degrees of freedom on the static fission paths are investigated.

2006 ◽  
Vol 15 (02) ◽  
pp. 302-310 ◽  
Author(s):  
ANDRZEJ STASZCZAK ◽  
JACEK DOBACZEWSKI ◽  
WITOLD NAZAREWICZ

Constrained Skyrme-Hartree-Fock calculations of static fission barriers are performed for even-even elements with Z = 100÷110 as well as for superheavy N=184 isotones. In our study we use the Skyrme parametrization SLy4 and a seniority pairing force treated in the BCS approximation. The computations are carried out applying a code that makes it possible to break all self-consistent symmetries of the nuclear mean field, including axial symmetry and reflection symmetry. The influence of reflection-asymmetric and triaxial degrees of freedom on fission barriers are discussed.


2004 ◽  
Vol 13 (01) ◽  
pp. 79-86 ◽  
Author(s):  
J. F. BERGER ◽  
D. HIRATA ◽  
M. GIROD ◽  
J. DECHARGE

This contribution summarizes the predictions obtained in the domain of superheavy nuclei from self-consistent microscopic calculations employing the Gogny force. Results concerning shell gaps, fission barriers and stability against alpha-decay are recalled. Recent work involving α-decay chains in odd nuclides is also presented and discussed.


2002 ◽  
Vol 16 (1-4) ◽  
pp. 275-280
Author(s):  
T. Bürvenich ◽  
M. Bender ◽  
P.-G. Reinhard ◽  
J.A. Maruhn

2007 ◽  
Vol 16 (02) ◽  
pp. 443-451 ◽  
Author(s):  
A. BARAN ◽  
A. STASZCZAK ◽  
J. DOBACZEWSKI ◽  
W. NAZAREWICZ

Spontaneous fission barriers, quadrupole inertia tensor, and zero-point quadrupole correlation energy are calculated for 252,256,258 Fm in the framework of the self-consistent Skyrme-Hartree-Fock+BCS theory. Two ways of computing collective inertia are employed: the Gaussian Overlap Approximation to the Generator Coordinate Method and cranking ansatz. The Skyrme results are compared with those of the Gogny-Hartree-Fock-Bogolyubov model.


2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Li Juan Jiang ◽  
Shen Yang ◽  
Jian Min Dong ◽  
Wen Hui Long

1981 ◽  
Vol 36 (3) ◽  
pp. 272-275 ◽  
Author(s):  
Subal Chandra Saha ◽  
Sankar Sengupta

It is possible to reproduce the entire results of Pekeris et al. of different atomic parameters for the He atom by introducing (ll) type correlation in a self consistent variation perturbation procedure using the Hartree-Fock (HF) wavefunction as the zero-order wavefunction


2008 ◽  
Vol 17 (01) ◽  
pp. 151-159 ◽  
Author(s):  
J. SKALSKI

We discuss the effect of kinetic energy of the relative motion becoming spurious for separate fragments on the selfconsistent mean-field fission barriers. The treatment of the relative motion in the cluster model is contrasted with the necessity of a simpler and approximate approach in the mean-field theory. A scheme of the energy correction to the Hartree-Fock is proposed. The results obtained with the effective Skyrme interaction SLy 6 show that the correction, previously estimated as ~ 8 MeV in A = 70 - 100 nuclei, amounts to 4 MeV in the medium heavy nucleus 198 Hg and to null in 238 U . However, the corrected barrier implies a shorter fission half-life of the latter nucleus. The same effect is expected to lower barriers for multipartition (i.e. ternary fission, etc) and make hyperdeformed minima less stable.


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