On the quantum number projection

Hara, Kenji; Iwasaki, S.

doi:10.1016/0375-9474(80)90334-6

Cited by 99 publications

(50 citation statements)

References 11 publications

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“…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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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: Projected Shell Model Calculationsmentioning

confidence: 99%

Band structures in Pd101

et al. 2017

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“…The P 0 + QQ or P 0 + P 2 + QQ force [11][12][13][14] has been regarded as a schematic interaction which represents typical correlations in nuclei. The results in (I), however, told us that the extended P + QQ force accompanied by the Jindependent proton-neutron (p-n) force V 0 πν is more than a mere schematic interaction and reflects the important aspects of the real interaction.…”

Section: Introductionmentioning

confidence: 99%

Improvement of the extended interaction by modifying the monopole field

2001

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The extended pairing plus QQ interaction with the J-independent isoscalar protonneutron force as an average monopole field, which has succeeded in describing collective yrast states of N ≈ Z even-A nuclei, is improved. The improvement is accomplished by adding small monopole terms (relevant to spectroscopy) to the average monopole field (indispensable to the binding energy). This modification extends the applicability of the interaction to nuclei with N ≈ 28 such as 48 Ca, and moreover improves energy levels of noncollective states. The modified interaction successfully describes not only even-A but also odd-A nuclei in the f 7/2 shell region. Results of exact shell model calculations in the model space (f 7/2 , p 3/2 , p 1/2 ) (its usefulness has been demonstrated previously) are shown for A=47, 48, 49, 50 and 51 nuclei.

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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%