On the quantum number projection

Hara, Kenji; Iwasaki, S.

doi:10.1016/0375-9474(79)90094-0

Cited by 116 publications

(65 citation statements)

References 2 publications

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“…The clover detectors used in the addback mode resulted in enhanced efficiency for the high energy γ rays above ∼ 1 MeV. The efficiency of the array for energies up to ∼ 3 MeV were deduced from the measured γ ray spectra of the 133 Ba and 152 Eu standard radioactive sources and the intensity balance along the transition sequence in higherlying transition gated coincidence spectra in the 38 Ar, 39 K, and 96 Ru nuclei populated in the present experiment. The details are given elsewhere [27,28].…”

Section: Methodsmentioning

confidence: 75%

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Band structures in Pd101

et al. 2017

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Excited states in the 101 Pd nucleus were investigated through the 75 As( 31 P, 2p3n) fusion-evaporation reaction at E lab = 125 MeV using the Indian National Gamma Array (INGA) spectrometer equipped with 21 clover Ge detectors. The level scheme is considerably extended for medium spin values. New positive-parity band structures in 101 Pd have been studied within the framework of the projected shell model (PSM) and are found to undergo transition from single quasiparticle to high-K three quasiparticle configuration after bandcrossing, i.e., from principal-axis rotation to tilted-axis rotation. The negative-parity band structures are discussed in the framework of the hybrid version of tilted-axis cranking (TAC) shell model calculations. The observed alignment gain in the lowest excited νh 11/2 negative-parity band results from successive (νg 7/2 ) 2 and (πg 9/2 ) 2 pair alignments. The higher excited negative-parity bands are reproduced for the ν[h 11/2 (g 7/2 /d 5/2 ) 2 ] and (πg 9/2 ) −2 ⊗ νh 11/2 configurations.

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Section: Methodsmentioning

confidence: 75%

“…The above basis states are projected to good angular momentum states using the standard projection formalism [38][39][40]. The projected states are then used as the basis states to diagonalize the shell model Hamiltonian.…”

Section: Projected Shell Model Calculationsmentioning

confidence: 99%

Band structures in Pd101

et al. 2017

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“…In particular, the rotation operatorR(Ω) has been evaluated following the expressions given in Ref. [61] and the Neergard method [62] has been used in the calculation of the norm overlaps in order to determine the correct sign of the Onishi formula [63][64][65]. The overlaps of a generic operator have been calculated using the generalized Wick theorem [64].…”

Section: Introductionmentioning

confidence: 99%

Triaxial angular momentum projection and configuration mixing calculations with the Gogny force

2010

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We present the first implementation in the (β, γ) plane of the generator coordinate method with full triaxial angular momentum and particle number projected wave functions using the Gogny force. Technical details about the performance of the method and the convergence of the results both in the symmetry restoration and the configuration mixing parts are discussed in detail. We apply the method to the study of 24 Mg, the calculated energies of excited states as well as the transition probabilities are compared to the available experimental data showing a good overall agreement. In addition, we present the RVAMPIR approach which provides a good description of the ground and gamma bands in the absence of strong mixing.

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“…The basis is constructed by solving the triaxially-deformed meanfield Nilsson Hamiltonian. Such a deformed basis is projected to good angular-momentum states by using the explicit three-dimensional projection technique [39,40]. These projected states are then used to diagonalize the effective shell model Hamiltonian consisting of the Pairing plus QuadrupoleQuadrupole interaction.…”

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confidence: 99%