Spin symmetry in the relativistic modified Rosen—Morse potential with the approximate centrifugal term

Wen-Li, Chen; Wei, G.

doi:10.1088/1674-1056/20/6/062101

Cited by 8 publications

(4 citation statements)

References 37 publications

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“…For the spherical case, extensive investigations have been made for the spherical harmonic oscillator [88][89][90]92,95,96], anharmonic oscillator [97], Coulomb [76,[99][100][101], Deng-Fan [102], diatomic molecular [103,104], Eckart [105,106], Hellmann [107], Hulthén [108][109][110][111], Manning-Rosen [112][113][114], Mie-type [115][116][117], Morse [118][119][120][121][122][123], Pöschl-Teller [124][125][126][127][128][129][130][131][132][133], Rosen-Morse [134][135][136][137], Tietz-Hua [138], Woods-Saxon …”

Section: Analytical Solutions At Pss Limitmentioning

confidence: 99%

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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Section: Analytical Solutions At Pss Limitmentioning

confidence: 99%

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

2015

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“…Hulthén [108][109][110][111], Manning-Rosen [112][113][114], Mie-type [115][116][117], Morse [118][119][120][121][122][123], Pöschl-Teller [124][125][126][127][128][129][130][131][132][133], Rosen-Morse [134][135][136][137], Tietz-Hua [138],…”

Section: Analytical Solutions At Pss Limitunclassified

“…Mie-type [115][116][117], Morse [118][119][120][121][122][123], Pöschl-Teller [124][125][126][127][128][129][130][131][132][133], Rosen-Morse [134][135][136][137], Tietz-Hua [138], Woods-Saxon [139][140][141][142][143], and Yukawa [144][145][146][147] potentials, as well as the deformed harmonic oscillator [148][149][150][151][152][153], anharmonic oscillator [154,155], Hartmann [156,157], Hylleraas [158], Kratzer [159],…”

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

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“…The Dirac equations under pseudospin or spin symmetry with various-type potentials have been studied by many authors in recent years. [8][9][10][11][12][13][14][15][16][17][18] Moreover, the tensor interactions on the pseudospin and spin doublets have also been studied. [18][19][20][21][22][23][24][25][26][27] In this paper, we obtain the pseudospin and spin symmetry solutions for the Dirac equation with the Deng-Fan (DF) potential, including a Coulomb-like tensor interaction.…”

Section: Introductionmentioning

confidence: 99%