Interacting boson-fermion model of collective states II. Boson-fermion symmetries connected with the U(5) limit

Bijker, R.; Kota, V. K. B.

doi:10.1016/0003-4916(84)90212-4

Cited by 44 publications

(12 citation statements)

References 39 publications

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“…The experimental data on the energies and reduced E2 transition probabilities in the odd-A Ag isotopes, including 1~176 have been found to agree reasonably well with the predictions of one of these B-F symmetries, the socalled Spin(3) symmetry, in which the even-even "cores" are described by the SU(5) limit of the IBM, and the odd proton is assigned to the 2p 1/2-orbit [15,16]. The two-nucleon tranfer intensities for the L=0 transitions between the lowest 1/2-states have been calculated for this Spin(3) symmetry [15]; the theoretical expression is identical to equation (2) above. This implies that these intensities should not depend on the number of neutrons, i.e.…”

Section: Odd-a Nucleisupporting

confidence: 60%

On the (3He,n) reaction in theA ? 100 region

Vervier¹,

Mareschal²

1986

Z. Physik A - Atomic Nuclei

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The available experimental data on the (3He, n) reaction between the ground states of even-even nuclei and lowest 1/2-levels of odd-A nuclei in the A~100 region are analyzed in a systematic way by the DWBA. The deduced relative intensities of these two-proton transfers, and their uncertainties, are compared to the predictions of various nuclear models. In particular, the influence of the finite dimension of the configuration space available to the transferred protons, and of the blocking effect of a 2p 1/2-proton, are examined.

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Section: Odd-a Nucleisupporting

confidence: 60%

On the (3He,n) reaction in theA ? 100 region

Vervier¹,

Mareschal²

1986

Z. Physik A - Atomic Nuclei

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“…[23] and references therein). The pseudospin symmetries have been also extensively used in the odd-mass nuclei in the context of the interacting Boson-Fermion model [24][25][26][27].…”

Section: Introductionmentioning

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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“…Concluding, the bands Kc = 0 in the even-even system, Kp =jp and K,,=j,, in odd-even systems and K =jp +j, in the odd-odd system exhibit the same basic structure of the wave functions ((6), (10), (13)) and follow the J(J+ 1) energy formulas ( (8), (9), (15)) with the same effective moment of inertia. Thus, we have extended the pattern of approximate SU(3) SUSY for boson systems (even-even nuclei) and boson-fermion systems (odd-even nuclei) [20], to encompass also the systems with two types of fermions coupled to bosons (odd-odd nuclei).…”

Section: E(j)mfm=gj(j+mentioning

confidence: 85%

Analogs of Gallagher-Moszkowski bands in IBFFM ? A relation to spectrum-generating supersymmetry?

Paar

Sunko

Vretenar

1987

Z. Physik A - Atomic Nuclei

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The quanta1 analogs of the Gallagher-Moszkowski bands in the Interacting boson-fermion-fermion model (IBFFM) with SU(3) boson core are associated with the exact quantum number K =jp +j, and approximate quantum number K = IJp-J, ] of IBFFM. For characteristic ratios F/6 it is shown that the Kc=0 band in even-even IBM system, the K=jv and K=j, bands in the corresponding odd-even (IBFM) systems and the K =jp +j, band in the corresponding odd-odd IBFFM system exhibit the supermultiplet pattern.PACS: 21.60.Ev; 21.60.Fw Nuclear symmetries and supersymmetries present a very active area of research in nuclear theory. Extensive investigations of symmetries have been performed for boson systems (even-even nuclei) [1,2] and for boson-fermion systems with one nucleon coupled to the boson core (odd-even nuclei) [3][4][5][6][7].In a further step, the idea of supersymmetry (SUSY) was introduced, encompassing even-even and odd-even nuclei [-8-13]. The boson-fermion approach was also extended to description of two-quasiparticle high-spin states in even-even nuclei [,14, 15]. Recently, the model was extended to odd-odd nuclei (referred to as the interacting Boson-Fermion-Fermion Model -IBFFM) [16,17] and some of the related dynamical symmetries and SUSY's have been investigated [17][18][19].The IBFFM Hamiltonian reads [16,17]:._t_ It(P, n) ~t 9 IBFM q-9 9 IB FM --a 9 IBM --9 9 RES 9(1)Here, r~tp) and r~t,) denote the IBFM Hamilton- Here, jp and j, are coupled to the proton-neutron angular momentum jp,;]nsnevI) denotes the standard IBM boson state [-1] with n~ s-bosons and na d-bosons, and ns + nn = N; I is the angular momentum of the state consisting of nd d-bosons and v denotes the additional quantum numbers; the angular momenta jr. and I are coupled to the total angular momentum J.In a previous work in IBFM the coupling of a single particle (or single hole) of spins j to the SU(3) boson core was investigated [-20]. Because of v~ =0 or 1 in this case the exchange interaction vanishes; therefore, in the odd-even system there is no mixing between the states containing the g.s. band of the core and the states containing the excited core bands. Hmv . = 6 I B. I" + F(G2 ~ G2V)o .Here, I ~ and G~ are the boson angular momentum operator and the boson quadrupole operator, respec-

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Interacting boson-fermion model of collective states II. Boson-fermion symmetries connected with the U(5) limit

Cited by 44 publications

References 39 publications

On the (3He,n) reaction in theA ? 100 region

On the (3He,n) reaction in theA ? 100 region

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Analogs of Gallagher-Moszkowski bands in IBFFM ? A relation to spectrum-generating supersymmetry?

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