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Systematic calculations of favored signature maximum-spin I_max and unfavored signature I_max - 1 terminating states for [f 7/2 ^ n] and [d 3/2 ^ (-1) f 7/2 ^ (n+1)] configurations (n denotes number of valence particles) in A ~ 44 mass…

Nuclear Theory · Physics 2007-05-23 M. Zalewski , W. Satula

The recently proposed Symmetry-Conserving Energy Density Functional approach [G. Hupin, D. Lacroix and M. Bender, Phys. Rev. C84, 014309 (2011)] is applied to perform Variation After Projection onto good particle number using Skyrme…

Nuclear Theory · Physics 2019-05-16 Guillaume Hupin , Denis Lacroix

A self-consistent Quasiparticle-Random-Phase-Approximation (QRPA) model which employs the canonical Hartree-Fock-Bogoliubov (HFB) basis and an energy-density functional with a Skyrme mean field part and a density-dependent pairing, is used…

Nuclear Theory · Physics 2008-12-24 Jun Li , Gianluca Colo' , Jie Meng

We perform a systematic study of the $\alpha$-particle excitation from its ground state $0_1^+$ to the $0_2^+$ resonance. The so-called monopole transition form factor is investigated via an electron scattering experiment in a broad…

The set of particle-hole ring diagrams for a many-fermion system in two dimensions is studied. The complex-valued polarization function is derived in detail and shown to be expressible in terms of square-root functions. For a…

Nuclear Theory · Physics 2015-06-22 N. Kaiser

As a model which displays a picture of the symmetry energy as an energy of rotation in isospace of a Cooper pair condensate, a Hamiltonian with a pairing force and an interaction of isospins is analyzed in the Hartree-Bogolyubov (HB) plus…

Nuclear Theory · Physics 2009-10-29 K. Neergård

The excited state of the 12C nucleus known as the "Hoyle state" constitutes one of the most interesting, difficult and timely challenges in nuclear physics, as it plays a key role in the production of carbon via fusion of three alpha…

Nuclear Theory · Physics 2012-12-20 Evgeny Epelbaum , Hermann Krebs , Timo Lähde , Dean Lee , Ulf-G. Meißner

We comment on a recent application of the RPA method and its extensions to the case of the two-level pairing model by N. Dinh Dang [1].

Nuclear Theory · Physics 2009-11-10 A. Rabhi

Large-scale calculation based on the multi-configuration Skyrme density functional theory is performed for the light N=Z even-even nucleus, 12C. Stochastic procedures and the imaginary-time evolution are utilized to prepare many Slater…

Nuclear Theory · Physics 2012-12-04 Y. Fukuoka , T. Nakatsukasa , Y. Funaki , K. Yabana

The high-energy collective modes of particle-hole excitations across the spin-orbit gap in $\rm Sr_2IrO_4$ are investigated using the transformed Coulomb interaction terms in the pseudo-spin-orbital basis constituted by the $J=1/2$ and…

Strongly Correlated Electrons · Physics 2021-07-16 Shubhajyoti Mohapatra , Avinash Singh

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the…

We apply a particle-particle RPA model to study the properties of the two-neutron valence wave function in nuclei 14-C, 12-Be, 11-Li and 14-Be. The RPA model takes account of two body correlations in the core so that it gives a better…

Nuclear Theory · Physics 2009-11-07 J. C. Pacheco , N. Vinh Mau

The Skyrme energy-density functionals with modified spin-spin interaction and pairing strength are used for description of the $^{249}$No, $^{251}$No, and $^{253}$No excited states. The results of the HFB and cranked HFB calculations taking…

Nuclear Theory · Physics 2024-10-07 N. Lyutorovich

We address the question of how to improve the agreement between theoretical nuclear single-particle energies (SPEs) and experiment. Empirically, in doubly magic nuclei, the SPEs can be deduced from spectroscopic properties of odd nuclei…

Nuclear Theory · Physics 2014-12-24 D. Tarpanov , J. Dobaczewski , J. Toivanen , B. G. Carlsson

We study the correlation energy associated with the pair fluctuations in BCS theory. We use a schematic two-level pairing model and discuss the behavior of the correlation energy across shell closures, including the even-odd differences. It…

Nuclear Theory · Physics 2009-11-06 K. Hagino , G. F. Bertsch

Phenomenological effective interactions like Skyrme forces are currently used in mean--field calculations in nuclear physics. Mean--field models have strong analogies with the first order of the perturbative many--body problem and the…

Nuclear Theory · Physics 2017-06-01 C. J. Yang , M. Grasso , K. Moghrabi , U. van Kolck

This article reviews two currently available analytic models of the dielectric function of a plasma consisting of quantum particles interacting via Coulomb forces, namely the Random Phase Approximation (RPA) and the Standard (Simple)…

Plasma Physics · Physics 2015-08-25 Basil Crowley

It has been revealed through numerical calculations that the Second Random Phase Approximation (SRPA) with the Hartree-Fock solution as its reference state results in 1) spurious states at genuinely finite energy, contrary to common…

Nuclear Theory · Physics 2014-09-02 P. Papakonstantinou

The electromagnetic excitation of the two-phonon isovector giant dipole resonance in relativistic projectiles incident on heavy targets can be proceed via several intermediate $1^-$ one-phonon giant resonance states. In two step electric…

Nuclear Theory · Physics 2009-10-30 C. A. Bertulani , V. Yu. Ponomarev , V. V. Voronov

The excitation energies of states belonging to the ground state bands of heavy even-even nuclei are analysed using recurrence relations. Excellent agreement with experimental data at the 10 keV level is obtained by taking into account…

Nuclear Theory · Physics 2015-06-17 B. Buck , A. C. Merchant , S. M. Perez