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We use the nuclear density functional theory to determine nuclear electric quadrupole and magnetic dipole moments in all one-particle and one-hole neighbours of eight doubly magic nuclei. We align angular momenta along the intrinsic…

Nuclear Theory · Physics 2022-10-06 P. L. Sassarini , J. Dobaczewski , J. Bonnard , R. F. Garcia Ruiz

Independent particle model in nuclear physics assumes that the nucleon in the nucleus moves in the average (mean field) potential generated by all other nucleons. This chapter gives a short overview of basic features of the independent…

Nuclear Theory · Physics 2022-09-13 A. V. Afanasjev

An electron density functional approach for the calculation of the nuclear multipole moments is presented. The electronic matrix elements entering the experimentally observed hyperfine electron-nucleus interaction constants in atoms are…

Nuclear Theory · Physics 2007-05-23 R. L. Pavlov , P. P. Raychev , V. P. Garistov , M. Dimitrova-Ivanovich , J. Maruani

The (semi-)microscopic double-folding nucleus-nucleus optical potentials are suggested for consideration of inelastic scattering with excitation of collective nuclear states by using the adiabatic approach and the elastic scattering…

Nuclear Theory · Physics 2008-11-26 K. M. Hanna , K. V. Lukyanov , V. K. Lukyanov , Z. Metawei , B. Slowinski , E. V. Zemlyanaya

We study the bulk deformation properties of the Skyrme nuclear energy density functionals. Following simple arguments based on the leptodermous expansion and liquid drop model, we apply the nuclear density functional theory to assess the…

Nuclear Theory · Physics 2011-03-22 N. Nikolov , N. Schunck , W. Nazarewicz , M. Bender , J. Pei

The nuclear quadruple moment is a fundamental character associated to the nuclei, this moment is related to the not purely spherical distribution in the nuclei, indeed its measure allows us to survey the geometric deformation of the nuclei…

Nuclear Theory · Physics 2016-07-05 Mohamed Belfkir

Atomic nuclei can be spontaneously deformed into non-spherical shapes as many-nucleon systems. We discuss to what extent a similar deformation takes place in many-electron systems. To this end, we employ several many-body methods, such as…

Atomic Physics · Physics 2021-09-24 Tomoya Naito , Shimpei Endo , Kouichi Hagino , Yusuke Tanimura

We study relationships between properties of collective excitations in finite nuclei and the phase transition density $n_t$ and pressure $P_t$ at the inner edge separating the liquid core and the solid crust of a neutron star. A theoretical…

Nuclear Theory · Physics 2015-06-19 N. Paar , Ch. C. Moustakidis , T. Marketin , D. Vretenar , G. A. Lalazissis

Nuclear mean-field models are briefly reviewed to illustrate its foundation and necessity of state dependence in effective interactions. This state dependence is successfully taken into account by the density dependence, leading to the…

Nuclear Theory · Physics 2015-06-11 Takashi Nakatsukasa

Properties of finite nuclei are investigated based on relativistic Hartree equations which have been derived from a relativistic quark model of the structure of bound nucleons. Nucleons are assumed to interact through the (self-consistent)…

Nuclear Theory · Physics 2007-05-23 Kazuo Tsushima , Koichi Saito , Anthony W. Thomas

The cross sections are calculated for the both elastic and inelastic scattering of 6He from 12C and 4He. A phenomenological optical potential is used to describe the elastic scattering. 4He is taken as spherical and inelastic couplings to…

Nuclear Theory · Physics 2015-04-10 Bora Canbula , Halil Babacan

Properties of the ground and several collective excited states of the light nuclei ^{30,32,34}Mg are described in the framework of the angular momentum projected Generator Coordinate Method using the quadrupole moment as collective…

Nuclear Theory · Physics 2009-11-06 R. R. Rodriguez-Guzman , J. L. Egido , L. M. Robledo

We present recent investigations on dipole and quadrupole excitations in spherical skin nuclei, particular exploring their connection to the thickness of the neutron skin. Our theoretical method relies on density functional theory, which…

Nuclear Theory · Physics 2009-11-13 N. Tsoneva , H. Lenske

Nuclear density functional theory is the prevalent theoretical framework for accurately describing nuclear properties at the scale of the entire chart of nuclides. Given an energy functional and a many-body scheme (e.g., single- or…

Nuclear Theory · Physics 2020-06-19 N. Schunck , J. O'Neal , M. Grosskopf , E. Lawrence , S. M. Wild

The momentum and density dependence of mean fields in symmetric and asymmetric nuclear matter are analysed using the simple density dependent finite range effective interaction containing a single Gaussian term alongwith the zero-range…

Nuclear Theory · Physics 2015-06-11 T. R. Routray , X. Vinas , S. K. Tripathy , M. Bhuyan , S. K. Patra , B. Behera

The effect of coupling between pairing and quadrupole triaxial shape vibrations on the low-energy collective states of $\gamma$-soft nuclei is investigated using a model based on the framework of nuclear energy density functionals (EDFs).…

Nuclear Theory · Physics 2021-08-23 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

Shape and multiple shape coexistence of nuclei are investigated throughout the nuclear chart by calculating the low-lying spectra and the quadrupole shape invariants for even-even nuclei with $10\leq Z\leq 104$ from the proton drip line to…

Nuclear Theory · Physics 2023-02-16 Y. L. Yang , P. W. Zhao , Z. P. Li

By combining our theoretical calculation and recently measured electric quadrupole hyperfine structure constant of the $3d ^2D_{5/2}$ state in the singly ionized $^{43}$Ca, we determine its nuclear quadrupole moment to one percent accuracy.…

Atomic Physics · Physics 2015-05-13 B. K. Sahoo

The spectroscopic quality of covariant density functional theory has been accessed by analyzing the accuracy and theoretical uncertainties in the description of spectroscopic observables. Such analysis is first presented for the energies of…

Nuclear Theory · Physics 2015-08-25 A. V. Afanasjev

Nuclear shape and orientation degrees of freedom are incorporated into the calculation of the double-folding nuclear potential within the relativistic mean-field (RMF) formalism. The quadrupole deformations ($\beta_2$), nuclear densities…

Nuclear Theory · Physics 2024-08-30 Shilpa Rana , M. Bhuyan , Raj Kumar , B. V. Carlson