A spherical-box approach for resonances in the presence of the Coulomb interaction

Zhou, Shan‐Gui; Meng, J.; Zhao, En-Guang

doi:10.1088/0953-4075/42/24/245001

Cited by 24 publications

(27 citation statements)

References 37 publications

(61 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Mg and Ne isotopes have been studied in details. It was found that in 42,44 Mg, there appears a decoupling of the halo orbitals from the deformation of the core: The core is prolate, but the halo has a slightly oblate shape. The generic conditions for the occurrence of this decoupling effects have been given: the existence and the deformation of a possible neutron halo depends essentially on the quantum numbers of the main components of the single particle orbitals in the vicinity of the Fermi surface.…”

Section: Summary and Perspectivesmentioning

confidence: 99%

Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum

Meng

Zhou

2015

J. Phys. G: Nucl. Part. Phys.

208

148

View full text Add to dashboard Cite

Abstract. The covariant density functional theory with a few number of parameters has been widely used to describe the ground-state and excited-state properties for the nuclei all over the nuclear chart. In order to describe exotic properties of unstable nuclei, the contribution of the continuum and its coupling with bound states should be treated properly. In this Topical Review, the development of the covariant density functional theory in continuum will be introduced, including the relativistic continuum Hartree-Bogoliubov theory, the relativistic Hartree-Fock-Bogoliubov theory in continuum, and the deformed relativistic Hartree-Bogoliubov theory in continuum. Then the descriptions and predictions of the neutron halo phenomena in both spherical and deformed nuclei will be reviewed. The diffuseness of the nuclear potentials, nuclear shapes and density distributions, and the impact of the pairing correlations on nuclear size will be discussed.

show abstract

Section: Summary and Perspectivesmentioning

confidence: 99%

Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum

Meng

Zhou

2015

J. Phys. G: Nucl. Part. Phys.

208

148

View full text Add to dashboard Cite

show abstract

“…In exotic nuclei, the neutron (or proton) Fermi surface is close to the particle continuum; thus, the contribution of the continuum is important [190][191][192][193][194][203][204][205][206][207][208][209][210][211][212][213][214][215][216][217][218]. Many methods or models developed for the studies of resonances [219] have been adopted to locate the position and to calculate the width of a nuclear resonant state, e.g., the analytical continuation in coupling constant (ACCC) method [220][221][222][223][224][225], the real stabilization method [226][227][228][229][230][231], the complex scaling method (CSM) [232][233][234][235], the coupled channels method [236][237][238], and some others [239,240].…”

Section: Introductionmentioning

confidence: 99%

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

2015

Self Cite

View full text Add to dashboard Cite

Symmetry plays a fundamental role in physics. The quasi-degeneracy between single-particle orbitals $(n, l, j = l + 1/2)$ and $(n-1, l + 2, j = l + 3/2)$ indicates a hidden symmetry in atomic nuclei, the so-called pseudospin symmetry (PSS). Since the introduction of the concept of PSS in atomic nuclei, there have been comprehensive efforts to understand its origin. Both splittings of spin doublets and pseudospin doublets play critical roles in the evolution of magic numbers in exotic nuclei discovered by modern spectroscopic studies with radioactive ion beam facilities. Since the PSS was recognized as a relativistic symmetry in 1990s, many special features, including the spin symmetry (SS) for anti-nucleon, and many new concepts have been introduced. In the present Review, we focus on the recent progress on the PSS and SS in various systems and potentials, including extensions of the PSS study from stable to exotic nuclei, from non-confining to confining potentials, from local to non-local potentials, from central to tensor potentials, from bound to resonant states, from nucleon to anti-nucleon spectra, from nucleon to hyperon spectra, and from spherical to deformed nuclei. Open issues in this field are also discussed in detail, including the perturbative nature, the supersymmetric representation with similarity renormalization group, and the puzzle of intruder states.Comment: Review Article, 242 pages, 58 figures, 10 table

show abstract

“…In recent years, the study of nuclear single-particle resonant states, especially those in exotic nuclei with unusual N/Z ratios becomes more and more important [46,47,48,49,50,51,52,53,54]. There have been some numerical studies on the PSS [55,56,57,58] and SS [59] in single particle resonant states.…”

Section: Introductionmentioning

confidence: 99%

Exact conservation and breaking of pseudospin symmetry in single particle resonant states

Lü¹,

Zhao²,

Zhou³

2013

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

Abstract. In this contribution we present some results on the study of pseudospin symmetry (PSS) in single particle resonant states. The PSS is a relativistic dynamical symmetry connected with the small component of the nucleon Dirac wave function. Many efforts have been made to study this symmetry in bound states. We recently gave a rigorous justification of the PSS in single particle resonant states by examining the zeros of Jost functions corresponding to the small components of the radial Dirac wave functions and phase shifts of continuum states [1]. We have shown that the PSS in single particle resonant states in nuclei is conserved when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign. Examples of exact conservation and breaking of this symmetry in single particle resonances are given for spherical square-well and Woods-Saxon potentials.

show abstract

A spherical-box approach for resonances in the presence of the Coulomb interaction

Cited by 24 publications

References 37 publications

Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum

Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Exact conservation and breaking of pseudospin symmetry in single particle resonant states

Contact Info

Product

Resources

About