Research on the contributions from different fields of mesons and photons to pseudospin symmetry

Guo, Jian-You; Fang, Xiang-Zheng

doi:10.1140/epja/i2010-10990-2

Cited by 9 publications

(8 citation statements)

References 30 publications

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“…It was found that these conditions are well satisfied. The contributions from different fields of mesons and photons to the PSS has been investigated for spherical nuclei [177].…”

Section: Pss In Deformed Nucleimentioning

confidence: 99%

“…Self-consistently, the pseudospin symmetry in spherical [45,73,79,[166][167][168][169][170][171][172][173][174][175][176][177] and deformed [77,78,81,82,[178][179][180] nuclei have been investigated within relativistic mean-field and relativistic Hartree-Fock (RHF) [181][182][183][184] theories. One of interesting topics is the tensor effects on the pseudospin symmetry or spin symmetry, which has been investigated in some of the above-mentioned works [45,53,89,92,173] and also in Refs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

2015

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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

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“…It was found that these conditions are well satisfied. The contributions from different fields of mesons and photons to the PSS has been investigated for spherical nuclei [177].…”

Section: Pss In Deformed Nucleimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

2015

View full text Add to dashboard Cite

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“…and Yukawa [72] potentials, as well as the deformed harmonic oscillator [73][74][75][76][77][78], anharmonic oscillator [79], Hartmann [80,81], Kratzer [82], and Makarov [83] potentials, together with some formal studies [84][85][86][87][88][89]. Self-consistently, the PSS in spherical [90][91][92][93][94][95][96][97][98][99][100][101][102][103][104] and deformed [105][106][107][108][109][110][111] nuclei have been investigated in the RMF and relativistic Hartree-Fock [112][113][114] theories. The PSS investigations were also extended to the single-particle resonances [115][116][117][118] as well as the single-particle states...…”

Section: Introductionmentioning

confidence: 99%

Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations

et al. 2013

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The origin of pseudospin symmetry (PSS) and its breaking mechanism are explored by combining supersymmetry (SUSY) quantum mechanics, perturbation theory, and the similarity renormalization group (SRG) method. The Schrödinger equation is taken as an example, corresponding to the lowest-order approximation in transforming a Dirac equation into a diagonal form by using the SRG. It is shown that while the spin-symmetry-conserving term appears in the single-particle Hamiltonian H, the PSS-conserving term appears naturally in its SUSY partner HamiltonianH.The eigenstates of Hamiltonians H andH are exactly one-to-one identical except for the so-called intruder states. In such a way, the origin of PSS deeply hidden in H can be traced in its SUSY partner HamiltonianH. The perturbative nature of PSS in the present potential without spin-orbit term is demonstrated by the perturbation calculations, and the PSS-breaking term can be regarded as a very small perturbation on the exact PSS limits. A general tendency that the pseudospinorbit splittings become smaller with increasing single-particle energies can also be interpreted in an explicit way.

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“…The contributions from different fields of mesons and photons to the PSS has been investigated for spherical nuclei [177]. In Ref.…”

Section: Pss In Deformed Nucleimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Liang,

Meng,

Zhou

2014

Preprint

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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

show abstract

Research on the contributions from different fields of mesons and photons to pseudospin symmetry

Cited by 9 publications

References 30 publications

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

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