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Fergerson, R. W.; Barlett, M. L.; Hoffmann, G. W.; Marshall, JA; Milner, E. C.; Pauletta, G.; Ray, L.; Amann, J. F.; Jones, K. W.; McClelland, J. B.; Gazzaly, M.; Igo, G.

doi:10.1103/physrevc.33.239

Cited by 49 publications

(20 citation statements)

References 23 publications

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“…3), more than twice the pseudospin breaking magnitude ͑ jBj jÃj ͒ 2 . In summary, we have determined directly from the experimental data [24] the pseudospin breaking for 800 MeV proton scattering from 208 Pb. We find that, up to the angles measured (about a momentum transfer of 2.3 fm 21 ), the pseudospin symmetry breaking depends on the scattering angle but reaches a maximum of 10%, whereas the spin breaking reaches a maximum of 22%.…”

Section: Resurrection Of a Symmetry In Nucleon-nucleus Scatteringmentioning

confidence: 99%

Resurrection of a Symmetry in Nucleon-Nucleus Scattering

Ginocchio

1999

Phys. Rev. Lett.

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We reexamine a symmetry in nucleon-nucleus scattering that previously had been proclaimed to be dead. We show that this symmetry is the continuum analog of pseudospin symmetry, a relativistic symmetry which manifests itself in the spectra of nuclei. Using experimental data only, we show that pseudospin symmetry in nucleon-nucleus scattering is not dead but only modestly broken for 800 MeV proton scattering on nuclei. [S0031-9007(99)09284-4] PACS numbers: 25.40.Cm, 24.10.Ht, 24.10.Jv, 24.80. + y For nucleons moving in a relativistic mean field with scalar V S and vector potentials V V , an SU(2) symmetry exists for the case for which V S 2V V [1]. This symmetry manifests itself in nuclear spectra as a slightly broken symmetry [2-5] since j V S 1V V V S 2V V j is small for realistic mean fields [6-9] and QCD sum rules [10], and, in fact, gives rise to what has been called "pseudospin symmetry." The original observations that led to the coining of the term pseudospin symmetry were quasidegeneracies in spherical shell model orbitals with nonrelativistic quantum numbers ͑n r , ᐉ, j ᐉ 1 1͞2͒ and ͑n r 2 1, ᐉ 1 2, j ᐉ 1 3͞2͒, where n r , ᐉ, and j are the single-nucleon radial, orbital, and total angular momentum quantum numbers, respectively [11,12]. This doublet structure is expressed in terms of a "pseudo" orbital angular momentumᐉ ᐉ 1 1, the average of the orbital angular momentum of the two states in doublet, and pseudospin,s 1͞2. For example, ͓n r s 1͞2 , ͑n r 2 1͒d 3͞2 ͔ will haveᐉ 1; ͓n r p 3͞2 , ͑n r 2 1͒f 5͞2 ͔ will haveᐉ 2, etc. These doublets are almost degenerate with respect to pseudospin, since j ᐉ 6s for the two states in the doublet. Pseudospin "symmetry" was shown to exist in deformed nuclei as well [13,14] and has been used to explain features of deformed nuclei, including superdeformation [15] and identical bands [16,17]. However, the origin of pseudospin symmetry remained a mystery and "no deeper understanding of the origin of these (approximate) degeneracies" existed [18]. The source of pseudospin symmetry as a broken relativistic symmetry of the Dirac Hamiltonian with V S ഠ 2V V was pointed out [2][3][4][5]. For spherical nuclei, pseudo-orbital angular momentumᐉ is also conserved and physically is the "orbital angular momentum" of the lower component of the Dirac wave function.One consequence of this relativistic SU(2) pseudospin symmetry is that the spatial wave function for the lower component of the Dirac wave functions will be equal in shape and magnitude for the two states in the doublet. This has been shown to be approximately valid for realistic relativistic mean fields [3][4][5]9]. Recently this approximate equality has been applied to predicting relationships between magnetic dipole properties of the nucleus and between Gamow-Teller decays [19].For nuclear bound states the scalar and vector relativistic potentials are real. However, this symmetry exists for complex mean fields as well, that is, for the scattering of nucleons in the mean field of a nucleus. In fact, proton scattering on n...

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Section: Resurrection Of a Symmetry In Nucleon-nucleus Scatteringmentioning

confidence: 99%

Resurrection of a Symmetry in Nucleon-Nucleus Scattering

Ginocchio

1999

Phys. Rev. Lett.

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“…Also shown in Figs. 1-3 are the predictions of the KMT and RIA optical potentials [1 ]. The KMT calculations included the contributions from Pauli correlations, short range dynamic correlations, c.m.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Previously, we have proposed a parametrization of the following expression [2] (1) to fit very well the p -c~ scattering data at 200 MeV and around [ 10].…”

Section: Proton-nucleus Scattering Amplitudementioning

confidence: 99%

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Analysis of proton elastic scattering from16O and40Ca at 800 MeV within the ?-particle model

Ruan

Liu

1994

Z. Physik A - Hadrons and Nuclei

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“…The scalar and vector potentials determined by fitting the scattering data are approximately equal in magnitude but different in sign even though they are complex [10].…”

Section: Nucleon-nucleus Scatteringmentioning

confidence: 99%

Feature Articles: A Relativistic Symmetry in Nuclei

Ginocchio

2005

Nuclear Physics News

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IntroductionMore than thirty years ago it was observed that certain quantum energy levels in atomic nuclei were almost degenerate in energy [1]. The states that are almost degenerate (quasi-degenerate) have different radial quantum numbers and different orbital angular momenta, features that made the reason for their degeneracy difficult to penetrate.The dynamics of neutrons and protons in nuclei have been successfully treated non-relativistically. Therefore it has come as a surprise that this quasi-degeneracy of quantum states in heavy nuclei, which has eluded understanding for about thirty years, can be explained by a relativistic symmetry [2].

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Spin-rotation parameterQfor 800 MeV proton elastic scattering fromO16,
R. W. Fergerson
¹
,
M. L. Barlett
²
,
G. W. Hoffmann
³

et al.

Cited by 49 publications

References 23 publications

Resurrection of a Symmetry in Nucleon-Nucleus Scattering

Resurrection of a Symmetry in Nucleon-Nucleus Scattering

Analysis of proton elastic scattering from16O and40Ca at 800 MeV within the ?-particle model

Feature Articles: A Relativistic Symmetry in Nuclei

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Spin-rotation parameterQfor 800 MeV proton elastic scattering fromO16,R. W. Fergerson1, M. L. Barlett2, G. W. Hoffmann3 et al.

Cited by 49 publications

References 23 publications

Resurrection of a Symmetry in Nucleon-Nucleus Scattering

Resurrection of a Symmetry in Nucleon-Nucleus Scattering

Analysis of proton elastic scattering from16O and40Ca at 800 MeV within the ?-particle model

Feature Articles: A Relativistic Symmetry in Nuclei

Contact Info

Product

Resources

About

Spin-rotation parameterQfor 800 MeV proton elastic scattering fromO16,
R. W. Fergerson
¹
,
M. L. Barlett
²
,
G. W. Hoffmann
³

et al.