On the validity of the pseudo-spin concept for triaxially deformed nuclei

Beuschel, T.; Blokhin, A. L.; Draayer, J. P.

doi:10.1016/s0375-9474(97)00143-7

Cited by 33 publications

(39 citation statements)

References 11 publications

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“…(18) should be examined carefully [68,69]. Their contribution to the single-particle energy E can be evaluated by the integrals with the lower component of the Dirac spinor, i.e.,…”

Section: Pss In Single-particle Energiesmentioning

confidence: 99%

“…(14) that formally the only term which breaks the PSS is the PSO potential V PSO (18), which is proportional to dΣ (r)/dr. Therefore, it is expected that the PSS is better conserved when |dΣ(r)/dr| becomes small [68].…”

Section: From Stable Nuclei To Exotic Nucleimentioning

confidence: 99%

“…The pseudospin symmetry remains an important physical concept in axially deformed [13][14][15][16] and even triaxially deformed [17,18] nuclei. Based on this concept, a simple but useful pseudo-SU(3) model was proposed, and this model was generalized to be the (pseudo-)symplectic model [15,16,[19][20][21][22], (also see Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…(18) should be examined carefully [68,69]. Their contribution to the single-particle energy E can be evaluated by the integrals with the lower component of the Dirac spinor, i.e.,…”

Section: Pss In Single-particle Energiesmentioning

confidence: 99%

Section: From Stable Nuclei To Exotic Nucleimentioning

confidence: 99%

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Hidden pseudospin and spin symmetries and their origins in atomic nuclei

2015

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“…It is found that the Fock terms bring significant contributions to the pseudo-spin orbital potentials (PSOP) and make it comparable to the pseudo-centrifugal barrier (PCB). However, The pseudo-spin symmetry (PSS), quasi-degeneracy of two single particle states with the quantum numbers (n, l, j = l + 1/2) and (n = n − 1,l = l + 2,j = j = l + 3/2), was firstly discovered more than thirty years ago in spherical nuclei [1,2] and later in deformed nuclei [3,4]. During the past ten years, many efforts have been made to investigate the origin of PSS [5,6,7,8] and the conservation conditions [5,9,10,11,12] within the framework of relativistic mean field (RMF) theory.…”

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confidence: 99%

Pseudo-spin symmetry in density-dependent relativistic Hartree–Fock theory

et al. 2006

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The pseudo-spin symmetry (PSS) is investigated in the density-dependent relativistic Hartree-Fock theory by taking the doubly magic nucleus 132 Sn as a representative. It is found that the Fock terms bring significant contributions to the pseudo-spin orbital potentials (PSOP) and make it comparable to the pseudo-centrifugal barrier (PCB). However, The pseudo-spin symmetry (PSS), quasi-degeneracy of two single particle states with the quantum numbers (n, l, j = l + 1/2) and (n = n − 1,l = l + 2,j = j = l + 3/2), was firstly discovered more than thirty years ago in spherical nuclei [1,2] and later in deformed nuclei [3,4]. During the past ten years, many efforts have been made to investigate the origin of PSS [5,6,7,8] and the conservation conditions [5,9,10,11,12] within the framework of relativistic mean field (RMF) theory. In Ref.[5], the PSS was interpreted as the relativistic symmetry in the Dirac equation, which arises from the cancellation between an attractive scalar potential Σ S and a repulsive vector potential Σ 0 , i.e., Σ S + Σ 0 ≃0, and the pseudo-orbit numberl is nothing but the orbital angular momentum of the lower component of the Dirac wave function. However, in this limit there is no bound states in the mean field, at variance with reality. More realistic conditions were discussed

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“…The pseudospin symmetry remains an important concept in the axially deformed [1,11,12,13] and even the triaxially deformed [14,15] nuclei. Based on this concept, a simple but useful pseudo-SU(3) model was proposed, and it was generalized to be the pseudo-symplectic model [16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

Pseudospin symmetry in nuclear structure and its supersymmetric representation

Liang¹

2016

Phys. Scr.

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The quasi-degeneracy between the single-particle states (n, l, j = l + 1/2) and (n − 1, l + 2, j = l + 3/2) indicates a special and hidden symmetry in atomic nuclei-the so-called pseudospin symmetry (PSS)-which is an important concept in both spherical and deformed nuclei. A number of phenomena in nuclear structure have been successfully interpreted directly or implicitly by this symmetry, including nuclear superdeformed configurations, identical bands, quantized alignment, pseudospin partner bands, and so on. Since the PSS was recognized as a relativistic symmetry in 1990s, there have been comprehensive efforts to understand its properties in various systems and potentials. In this Review, we mainly focus on the latest progress on the supersymmetric (SUSY) representation of PSS, and one of the key targets is to understand its symmetry-breaking mechanism in realistic nuclei in a quantitative and perturbative way. The SUSY quantum mechanics and its applications to the SU(2) and U(3) symmetries of the Dirac Hamiltonian are discussed in detail. It is shown that the origin of PSS and its symmetry-breaking mechanism, which are deeply hidden in the origin Hamiltonian, can be traced by its SUSY partner Hamiltonian. Essential open questions, such as the SUSY representation of PSS in the deformed system, are pointed out.

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On the validity of the pseudo-spin concept for triaxially deformed nuclei

Cited by 33 publications

References 11 publications

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Pseudo-spin symmetry in density-dependent relativistic Hartree–Fock theory

Pseudospin symmetry in nuclear structure and its supersymmetric representation

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