Pseudospin symmetry in relativistic mean field theory

Meng, J.; Sugawara-Tanabe, Kazuko; Yamaji, Shūhei; Ring, P.; Arima, A.

doi:10.1103/physrevc.58.r628

Cited by 377 publications

(350 citation statements)

References 20 publications

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“…The one neutron separation energies S n predicted by RCHB and their experimental counterparts [18] for the nuclei 11−22 C, 13−24 N, 15−26 O and 17−25 F are given in Fig.1 as open and solid circles respectively. For carbon isotopes, the theoretical one neutron separation energies for [11][12][13][14][15][16][17][18]20,22 C are in agreement with the data. The calculated S n is less than 0 (-0.003 MeV) for the odd-A nucleus 19 C which is bound from experiment.…”

supporting

confidence: 78%

“…The RCHB theory [6][7][8], which is an extension of the relativistic mean field (RMF) [9][10][11] and the Bogoliubov transformation in the coordinate representation, can describe satisfactorily the ground state properties for nuclei both near and far from the β-stability line and from light to heavy or super heavy elements, as well as for the understanding of pseudo-spin symmetry in finite nuclei [12][13][14][15]. A remarkable success of the RCHB theory is the self-consistent reproduction of the halo in 11 Li [7] and the prediction of giant halo [8].…”

mentioning

confidence: 99%

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Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei

Meng

Toki

Zhou

et al. 2006

Progress in Particle and Nuclear Physics

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The ground state properties including radii, density distribution and one neutron separation energy for C, N, O and F isotopes up to the neutron drip line are systematically studied by the fully self-consistent microscopic Relativistic Continuum Hartree-Bogoliubov (RCHB) theory. With the proton density distribution thus obtained, the charge-changing cross sections for C, N, O and F isotopes are calculated using the Glauber model. Good agreement with the data has been achieved. The charge changing cross sections change only slightly with the neutron number except for proton-rich nuclei. Similar trends of variations of proton radii and of charge changing cross sections for each isotope chain is observed which implies that the proton density plays * e-mail: mengj@pku.edu.cn 1 important role in determining the charge-changing cross sections.PACS numbers: 21.10. Gv, 24.10.Cn, 25.45.De Key words: Relativistic Continuum Hartree-Bogoliubov (RCHB) theory, charge-changing cross section, neutron-rich light nuclei, exotic nuclei Typeset using REVT E X 2 Recent progresses in the accelerator and detection techniques all around the world have made it possible to produce and study the nuclei far away from the stability line -so called "EXOTIC NUCLEI". Based on the measurement of interaction cross section with radioactive beams at relativistic energy, novel and entirely unexpected features has appeared: e.g., the neutron halo and skin as the rapid increase in the measured interaction cross-sections in the neutron-rich light nuclei [1,2].Systematic investigation of interaction cross sections for an isotope chain or an isotone chain can provide a good opportunity to study the density distributions over a wide range of isospin [3,4]. However the contribution from proton and neutron are coupled in the measurement of interaction cross section. To draw conclusion on the differences in proton and neutron density distributions definitely, a combined analysis of the interaction cross section and other experiment on either proton or neutron alone are necessary.The charge-changing cross section which is the cross section for all processes which result in a change of the atomic number for the projectile can provide good opportunity for this purpose. In Ref.[5], the total charge-changing cross section σ cc for the light stable and neutron-rich nuclei at relativistic energy on a carbon target were measured. We will study σ cc theoretically by using the fully self-consistent and microscopic relativistic continuum Hartree-Bogoliubov (RCHB) theory and the Glauber Model in the present letter.The RCHB theory [6][7][8], which is an extension of the relativistic mean field (RMF) [9][10][11] and the Bogoliubov transformation in the coordinate representation, can describe satisfactorily the ground state properties for nuclei both near and far from the β-stability line and from light to heavy or super heavy elements, as well as for the understanding of pseudo-spin symmetry in finite nuclei [12][13][14][15]. A remarkable success of the RCHB t...

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supporting

confidence: 78%

mentioning

confidence: 99%

Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei

Meng

Toki

Zhou

et al. 2006

Progress in Particle and Nuclear Physics

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934

432

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“…During the past two decades, it has received wide attention due to its success in describing many nuclear phenomena for the stable nuclei [2,3] as well as nuclei even far from stability [4,5]. It has been shown that the relativistic Brueckner theory can reproduce better the nuclear saturation properties (the Coester line) in nuclear matter [6], present a new explanation for the identical bands in superdeformed nuclei [7] and the neutron halo [8], predict a new phenomenon -giant neutron halos in heavy nuclei close to the neutron drip line [9], give naturally the spin-orbit potential, the origin of the pseudospin symmetry [10,11] as a relativistic symmetry [12,13,14] and spin symmetry in the anti-nucleon spectrum [15], and present good description for the magnetic rotation [16] and the collective multipole excitations [17], etc.…”

Section: Introductionmentioning

confidence: 99%

Shell-model-like Approach (SLAP) for the Nuclear Properties in Relativistic Mean Field Theory

et al. 2006

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A Shell-model-Like APproach (SLAP) suggested to treat the pairing correlations in relativistic mean field theory is introduced, in which the occupancies thus obtained having been iterated back into the densities. The formalism and numerical techniques are given in detail. As examples, the ground state properties and low-lying excited states for Ne isotopes are studied. The results thus obtained are compared with the data available. The binding energies, the odd-even staggering, as well as the tendency for the change of the shapes in Ne isotopes are correctly reproduced.

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“…An attractive scalar and repulsive vector potentials of nearly equal magnitudes, V S ∼ −V V , is an inherent feature of realistic relativistic mean fields in nuclei. Calculations employing such fields in a variety of nuclei have confirmed the existence of an approximate pseudospin symmetry in the energy spectra and wave functions [12][13][14][15]. The conditions for an approximate relativistic pseudospin symmetry have been further elaborated [16] including the effect of isospin asymmetry [17].…”

mentioning

confidence: 99%

“…The exact pseudospin limit requires that V S (r) = −V V (r), which implies that B(r) = [12][13][14][15]. Quasi-degenerate doublets of normal-parity states and abnormal-parity levels without a partner eigenstate persist in the spectra, and the relation of Eq.…”

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confidence: 99%

Consequences of a relativistic pseudospin symmetry for radial nodes and intruder levels in nuclei

Leviatan

Ginocchio

2001

Physics Letters B

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Pseudospin symmetry in relativistic mean field theory

Cited by 377 publications

References 20 publications

Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei

Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei

Shell-model-like Approach (SLAP) for the Nuclear Properties in Relativistic Mean Field Theory

Consequences of a relativistic pseudospin symmetry for radial nodes and intruder levels in nuclei

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