The 8th APCTP- BLTP JINR Joint Workshop JOINT INSTITUTE FOR NUCLEAR RESEARCH NUCLEAR STRUCTURE: FROM STABLE TO UNSTABLE NUCLEI V.V. Voronov The 8th APCTP- BLTP JINR Joint Workshop

Outline Introduction The method Check of the separable approximation Some examples Effects of the tensor correlations and 2p-2h configurations on beta-decay rates Summary

Bogoliubov Lab. Theor. Phys. JINR, Dubna The big bang theory states that the universe began as a gigantic explosion This idea has entered popular culture 2011 April, Perugia

Some questions Nuclear Structure - What is the nature of the nuclear force? What are the limits of nuclear existence? Nuclear Astrophysics – What is the nature of neutron stars? What is the origin of elements havier than iron in the Cosmos?

Hohenberg-Kohn theorem

Kohn-Sham theorem

Density functional theory

Motivation for FRSA A study of the different nuclear modes is an interesting problem not only from the nuclear structure point of view but it is very important for the nuclear astrophysics applications. One needs to find methods to reduce numerical efforts and making use of separable interactions gives such a possibility. The particular form of the Skyrme interaction allows to represent it as a sum of separable terms.

Nguyen Van Giai, H. Sagawa, Phys. Lett. B 106, 379 (1981).

SIII

SLy4 Sn isotopes

Charge-exchange modes

Effects of the tensor correlations

SGII A.P.S., V.V. Voronov, Nguyen Van Giai, Journal of Physics: Conf. Ser. 267 (2011) 012025

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SUMMARY It is shown that many properties of the nuclear collective excitations in stable and unstable nuclei can be described within a microscopic approach (FRSA) based on the density functional method. Starting from the Skyrme interactions the GT strength has been studied within the extended FRSA model including both the tensor interaction effect and 2p-2h configurations . .

SUMMARY . The suggested approach enables one to perform calculations in a very large configuration space. Taking into account effects mentioned above results in a reduction of beta-decay half-life times.

Collaborators: N. N. Arsenev,Nguyen Van Giai, A. P. Severyukhin, Ch Collaborators: N.N.Arsenev,Nguyen Van Giai, A.P. Severyukhin, Ch. Stoyanov

Thank you for your attention!