Low-lying Gamow-Teller states in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Nb</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>92</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Grimes, S. M.; Bauer, R.; Anderson, J. D.; Brown, Vienna R.; Pohl, B.A.; Poppe, C. H.; Madsen, V.A.; Langkau, Rudolf; Scobel, W.; Stamer, S.

doi:10.1103/physrevc.53.2709

Cited by 9 publications

(4 citation statements)

References 28 publications

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“…where f • X = mi f mi X mi etc. With the transition matrix element (12), it is possible to calculate in the RPA any moment of the distribution strength, and therefore the total strength, the centroid and the width. Sec.…”

Section: Rpamentioning

confidence: 99%

“…Thus, RPA was the method of choice for description of negative parity states in closed shell nuclei [3,5,6,7] and in open shell nuclei [8]. RPA and QRPA calculations (sometimes including continuum states) using phenomenological interactions have been successful in describing the experimental position of giant resonances [9], particularly E1 [8,10] and M1 [11] from electron or proton scattering, or Gamow-Teller resonances [12]. In general, however, the description of low-lying transitions is poor [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…RPA and QRPA calculations (sometimes including continuum states) using phenomenological interactions have been successful in describing the experimental position of giant resonances [9], particularly E1 [8,10] and M1 [11] from electron or proton scattering, or Gamow-Teller resonances [12]. In general, however, the description of low-lying transitions is poor [12,13]. Other studies have used QRPA to compute transitions of interest for astrophysics but did not directly compare to experiment [14,15].…”

Section: Introductionmentioning

confidence: 99%

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Tests of the random phase approximation for transition strengths

Stetcu

Johnson

2003

Phys. Rev. C

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We investigate the reliability of transition strengths computed in the random-phase approximation (RPA), comparing with exact results from diagonalization in full $0\hbar\omega$ shell-model spaces. The RPA and shell-model results are in reasonable agreement for most transitions; however some very low-lying collective transitions, such as isoscalar quadrupole, are in serious disagreement. We suggest the failure lies with incomplete restoration of broken symmetries in the RPA. Furthermore we prove, analytically and numerically, that standard statements regarding the energy-weighted sum rule in the RPA do not hold if an exact symmetry is broken.Comment: 11 pages, 7 figures; Appendix added with new proof regarding violation of energy-weighted sum rul

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Section: Rpamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tests of the random phase approximation for transition strengths

Stetcu

Johnson

2003

Phys. Rev. C

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“…Second, we do them in the deformed basis using Eq. ( 30) - (32). Both ISR results are confirmed to be equal to each other within a few percentage deviation.…”

Section: Ikeda Sum Rulementioning

confidence: 52%

Gamow-Teller Strength distributions in $^{76}\textrm{Ge}$, $^{76,82}\textrm{Se}$, and $^{90,92}\textrm{Zr}$ by the Deformed Proton-neutron QRPA

Ha¹,

Cheoun²

2012

Preprint

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We developed the deformed proton-neutron quasiparticle random phase approximation (QRPA) and applied to the evaluation of the Gamow-Teller (GT) transition strength distributions including high-lying excited states, which data becomes recently available beyond one or two nucleon threshold by charge exchange reactions using hundreds of MeV projectiles. Our calculations started with single-particle states calculated by a deformed axially symmetric Woods-Saxon potential. Neutronneutron and proton-proton pairing correlations are explicitly taken into account at the deformed Bardeen Cooper Schriffer theory. Ground state correlations, and twoparticle and two-hole mixing states are included in the deformed QRPA. In this work, we use a realistic two-body interaction given by the Brueckner G-matrix based on the CD Bonn potential to reduce the ambiguity on the nucleon-nucleon interactions inside nuclei. We applied our formalism to the GT transition strengths for 76 Ge, 76,82 Se, and 90,92 Zr, and compared to available experimental data. The GT strength distributions were sensitive on the deformation parameter as well as its sign, i.e., oblate or prolate. The Ikeda sum rule, which is usually thought to be satisfied under the one-body current approximation irrespective of nucleon models, is used to test our numerical calculations and shown to be satisfied without introducing the quenching factor, if high-lying GT excited states are properly taken into account.Most of the GT strength distributions of the nuclei considered in this work turn out to have the high-lying GT excited states beyond one nucleon threshold, which are shown to be consistent with available experimental data.

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Nuclear Data Sheets for A = 92

Baglin

2012

Nuclear Data Sheets

123

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Nuclear structure and decay data pertaining to all nuclides with mass number A=92 (As, Se, Br, Kr, Rb, Sr, Y, Zr, Nb, Mo, Tc, Ru, Rh, Pd) have been compiled and evaluated, and incorporated into the ENSDF data file. A l l l i t e r a t u r e a v a i l a b l e b y 1 5 S e p t e m b e r 2 0 1 2 h a s b e e n c o n s i d e r e d . T h i s e v a l u a t i o n s u p e r s e d e s t h e p r e v i o u s p u b l i c a t i o n f o r t h i s m a s s c h a i n ( C o r a l M . B a g l i n , N u c l e a r D a t a S h e e t s 9 1 , 4 2 3 ( 2 0 0 0 ) ( N o v e m b e r 2 0 0 0 c u t o f f date)), and subsequent unpublished reevaluations by C.M. Baglin for 9 2 Kr (January 2004 literature cut-off) and 92 Sr (August 2003 literature cut-off).Acknowledgments: The evaluator thanks the reviewer of this manuscript for constructive comments. The evaluator

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Low-lying Gamow-Teller states inNb92

Cited by 9 publications

References 28 publications

Tests of the random phase approximation for transition strengths

Tests of the random phase approximation for transition strengths

Gamow-Teller Strength distributions in $^{76}\textrm{Ge}$, $^{76,82}\textrm{Se}$, and $^{90,92}\textrm{Zr}$ by the Deformed Proton-neutron QRPA

Nuclear Data Sheets for A = 92

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