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Excitation energies and transition probabilities of the first $2^+$ excitations in even tin and lead isotopes as well as the quadrupole moments of odd neighbors of these isotopes are calculated within the self-consistent Theory of Finite…

Nuclear Theory · Physics 2013-05-29 S. V. Tolokonnikov , S. Kamerdzhiev , D. Voytenkov , S. Krewald , E. E. Saperstein

We investigate the effects of the pairing in spherical nuclei. We use the same finite-range interaction of Gogny type in the three steps of our approach, Hartree-Fock, Bardeen, Cooper and Schrieffer, and quasi-particle random phase…

Nuclear Theory · Physics 2017-06-07 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

Recent results of the Fayans energy density functional (EDF) for spherical nuclei are reviewed. A comparison is made with predictions of several Skyrme EDFs. The charge radii and characteristics of the first 2^+ excitations in semi-magic…

Nuclear Theory · Physics 2017-01-01 E. E. Saperstein , S. V. Tolokonnikov

The self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. with the set DF3-a of parameters fixed previously is used to calculate three kinds of quadrupole moments. At first, we examined…

Nuclear Theory · Physics 2015-06-11 S. Kamerdzhiev , S. Krewald , S. Tolokonnikov , E. E. Saperstein , D. Voitenkov

The quadrupole moments of odd neighbors of semi-magic lead and tin isotopes and $N=50,N=82$ isotones are calculated within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. Two sets…

Nuclear Theory · Physics 2015-06-03 S. V. Tolokonnikov , S. Kamerdzhiev , D. Voitenkov , S. Krewald , E. E. Saperstein

It has been shown recently that a simple formula in terms of the valence nucleon numbers and the mass number can describe the essential trends of excitation energies of the first $2^+$ states in even-even nuclei. By evaluating the first…

Nuclear Theory · Physics 2008-11-26 Eunja Ha , Dongwoo Cha

The first 2+ states in N=20 isotones including neutron-rich nuclei 32Mg and 30Ne are studied by the Hartree-Fock-Bogoliubov plus quasiparticle random phase approximation method based on the Green's function approach. The residual…

Nuclear Theory · Physics 2009-11-10 M. Yamagami , Nguyen Van Giai

The first excitation energy in the two-level pairing model is investigated in terms of the equilibrium and the small fluctuation around it. The basic idea is an extension of results presented in a previous paper by the present authors. In…

Nuclear Theory · Physics 2008-11-26 Y. Tsue , C. Providencia , J. da Providencia , M. Yamamura

We examine the global performance of an extended self-consistent mean field theory of 2+ excitations in even-even nuclei. 518 nuclei are included in our survey, comprising all but 39 of the known nuclei tabulated by Raman et al. The theory…

Nuclear Theory · Physics 2008-11-26 G. F. Bertsch , M. Girod , S. Hilaire , J. -P. Delaroche , H. Goutte , S. Pe'ru

The expansion of an isolated hot spherical nucleus with excitation energy and its caloric curve are studied in a thermodynamic model with the SkM* force as the nuclear effective two-body interaction. The calculated results are shown to…

Nuclear Theory · Physics 2010-12-23 J. N. De , S. K. Samaddar , X. Vinas , M. Centelles

The spectral function of a spin-balanced two-dimensional Fermi gas with short-range interactions is calculated by means of a quantum cluster expansion. Good qualitative agreement is found with a recent experiment by Feld $\textit{et al.}$…

Quantum Gases · Physics 2014-01-23 Marcus Barth , Johannes Hofmann

Finite nuclei such as those found in the chain of even tin isotopes from ^{102}Sn to ^{130}Sn, exhibit a near constancy of the 2^+_1-0^+_1 excitation energy, a constancy which can be related to strong pairing correlations and the near…

Nuclear Theory · Physics 2007-05-23 Oe. Elgaroey , T. Engeland , M. Hjorth-Jensen , E. Osnes

A simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin

We calculate, to second order in the scattering length between two fermions, the Landau quasiparticle interaction for a low-density mixture of two fermion species with unequal densities at temperature zero. From the Landau parameters we…

Nuclear Theory · Physics 2025-03-25 C. J. Pethick , A. Schwenk

Ground state energies and superfluid gaps are calculated for degenerate Fermi systems interacting via long attractive scattering lengths such as cold atomic gases, neutron and nuclear matter. In the intermediate region of densities, where…

Condensed Matter · Physics 2009-10-31 H. Heiselberg

The low-lying collective states in Sn isotopes are studied by a five-dimensional collective Hamiltonian with parameters determined from the triaxial relativistic mean-field calculations using the PC-PK1 energy density functional. The…

Nuclear Theory · Physics 2015-06-11 Z. P. Li , C. Y. Li , J. Xiang , J. M. Yao , J. Meng

New experimental data on 2+ energies of 136,138Sn confirms the trend of lower 2+ excitation energies of even-even tin isotopes with N > 82 compared to those with N< 82. However, none of the theoretical predictions using both realistic and…

Nuclear Theory · Physics 2014-11-11 M. Saha Sarkar , S. Sarkar

The two- and three-nucleon interaction derived in chiral effective field theory at next-to-next-to-leading order is used to obtain the binding energy of nuclear matter. Saturation is found at a binding energy per particle E/A = -16.2 \pm…

Nuclear Theory · Physics 2010-10-05 S. Krewald , E. Epelbaum , U. -G. Meißner , P. Saviankou

The role of L=0 pairing interactions (both T=0 and T=1) in three selected bands with the total isospin T=0 in 22Na, 48Cr and 90Rh nuclei is discussed in the spherical shell model. These bands were selected requiring termination in a most…

Nuclear Theory · Physics 2007-05-23 A. Juodagalvis

The effect of temperature on the evolution of the isovector dipole and isoscalar quadrupole excitations in $^{68}$Ni and $^{120}$Sn nuclei is studied within the fully self-consistent finite temperature quasiparticle random phase…

Nuclear Theory · Physics 2017-08-09 E. Yüksel , G. Colò , E. Khan , Y. F. Niu , K. Bozkurt
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