Charge density of 40Ca

Sick, I.; Bellicard, J.B.; Cavedon, J.M.; Frois, B.; Huet, M.; Leconte, Ph.; Ho, Phan Xuan; Platchkov, S.

doi:10.1016/0370-2693(79)90458-1

Cited by 108 publications

(29 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The HF neutron density, however, has an opposite behavior, with a flat shoulder at intermediate r values and a bump at the nucleus center. This bump is similar to the one found experimentally for the charge density in 40 Ca [15]. Altogether, the total density has an almost flat, even slowly rising, profile in the interior of the nucleus.…”

Section: Density Distributionsupporting

confidence: 87%

See 1 more Smart Citation

Beyond-mean-field study of the possible “bubble” structure of34Si

et al. 2012

View full text Add to dashboard Cite

Recent self-consistent mean-field calculations predict a substantial depletion of the proton density in the interior of 34 Si. In the present study, we investigate how correlations beyond the mean field modify this finding. The framework of the calculation is a particle-number and angularmomentum projected Generator Coordinate Method based on Hartree-Fock-Bogoliubov+Lipkin-Nogami states with axial quadrupole deformation. The parametrization SLy4 of the Skyrme energy density functional is used together with a density-dependent pairing energy functional. For the first time, the generator coordinate method is applied to the calculation of charge and transition densities. The impact of pairing correlations, symmetry restorations and shape mixing on the density profile is analyzed step by step. All these effects significantly alter the radial density profile, and tend to bring it closer to a Fermi-type density distribution.

show abstract

Section: Density Distributionsupporting

confidence: 87%

“…In this context, s 1/2 orbits in spherical nuclei have a very peculiar signature, as they are the only ones that contribute to the density at the nuclear center. Depending on whether they are filled or empty, s 1/2 orbits can generate a central bump in the density as it has been observed for 40 Ca [15], or a central depression.…”

Section: Introductionmentioning

confidence: 82%

Beyond-mean-field study of the possible “bubble” structure of34Si

et al. 2012

View full text Add to dashboard Cite

show abstract

“…3 Numerical results for finite nuclei Equations (23) to (29) give a set of coupled non-linear differential equations, which may be solved by a standard iteration procedure [25]. In this paper the numerical calculation was carried out by modifying the technique described by Horowitz et al [25,26].…”

Section: Finite Nucleimentioning

confidence: 99%

Self-consistent description of finite nuclei based on a relativistic quark model

1996

View full text Add to dashboard Cite

Relativistic Hartree equations for spherical nuclei have been derived from a relativistic quark model of the structure of bound nucleons which interact through the (self-consistent) exchange of scalar (σ) and vector (ω and ρ) mesons. The coupling constants and the mass of the σ-meson are determined from the properties of symmetric nuclear matter and the rms charge radius in 40 Ca. Calculated properties of static, closed-shell nuclei from 16 O to 208 Pb are compared with experimental data and with results of Quantum Hadrodynamics (QHD). The dependence of the results on the nucleon size and the quark mass is investigated. Several possible extensions of the model are also discussed.

show abstract

“…This arises from the spin-orbit interaction that occurs naturally when Charge density distribution for 4°Ca. The experimental curve is from Sick et al 41 The DDHF results are those of Negele, and the DDHF + RPA calculation is that of Gogny, as indicated in ref. 41.…”

Section: Finite Nucleimentioning

confidence: 99%

“…The experimental curve is from Sick et al 41 The DDHF results are those of Negele, and the DDHF + RPA calculation is that of Gogny, as indicated in ref. 41. The Dirac-Hartree calculations yield the long-dashed curve.…”

Section: Finite Nucleimentioning

confidence: 99%

Relativistic Nuclear Many-Body Theory

Serot

Walecka

1992

Recent Progress in Many-Body Theories

161

269

View full text Add to dashboard Cite

Nonrelativistic models of nuclear systems have provided important insight into nuclear physics. In future experiments, nuclear systems will be examined under extreme conditions of density and temperature, and their response will be probed at momentum and energy transfers larger than the nucleon mass. It is therefore essential to develop reliable models that go beyond the traditional nonrelativistic many-body fraxnework. General properties of physics, such as quantum mechanics, Lorentz covariance, and microscopic causality, motivate the use of quantum field theories to describe the interacting, relativistic, nuclear many-body system. Renormalizable models based on hadronic degrees of freedom (quantum hadrodynamics) are presented, and the assumptions underlying this framework are discussed. Some applications and successes of quantum hadrodynamics are described, with an emphasis on the new features arising from relativity. Examples include the nuclear equation of state, the shell model, nucleon-nucleus scattering, and the inclusion of zero-point vacuum corrections. Current issues and problems are also considered, such as the construction of improved approximations, the full role of the quantum vacuum, and the relationship between quantum hadrodynamics and quantum chromodynamics. We also speculate on future developments.

show abstract

Charge density of 40Ca

Cited by 108 publications

References 21 publications

Beyond-mean-field study of the possible “bubble” structure of34Si

Beyond-mean-field study of the possible “bubble” structure of34Si

Self-consistent description of finite nuclei based on a relativistic quark model

Relativistic Nuclear Many-Body Theory

Contact Info

Product

Resources

About