Projected shell model study of yrast states of neutron-deficient odd-mass Pr nuclei

Ibáñez-Sandoval, A.; Ortíz, M. E.; Velázquez, Víctor; Galindo-Uribarri, A.; Hess, P. O.; Sun, Yang

doi:10.1103/physrevc.83.034308

Cited by 36 publications

(10 citation statements)

References 31 publications

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“…Also, from the comparison of calculated and experimental energy spectra given in Fig. 3, it is clear that the agreement between calculated and experimental spectra [4,28] of band 1 and 2 (α=±1/2) is reasonably good. The difference between calculated and experimental values at the highest known spin I=29/2 + (α=+1/2) of band 1 is 0.261 MeV and the difference at the highest known spin I=27/2 + (α=−1/2) of band 2 is 0.293 MeV.…”

Section: Strongly Coupled Bands 1 Andmentioning

confidence: 56%

Microscopic study of electromagnetic properties and band spectra of neutron deficient ^133,135,137Sm

Pandit¹,

Bhat²,

Devi

et al. 2019

Chinese Phys. C

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A microscopic high spin study of neutron deficient and normally deformed 133,135,137Sm has been carried out in projected shell model framework. The theoretical results have been obtained for the spins, parities and energy values of yrast and excited bands. Besides this, the band spectra, band head energies, moment of inertia and electromagnetic transition strengths are also predicted in these isotopes. The calculations successfully give a deeper understanding of the mechanism of the formation of yrast and excited bands from the single and multi-quasi particle configurations. The results on moment of inertia predict an alignment of a pair of protons in the proton (1h 11/2)2 orbitals in the yrast ground state bands of 133-137Sm due to the crossing of one quasiparticle bands by multi-quasiparticle bands at higher spins. The discussion in the present work is based on the deformed single particle scheme. Any future experimental confirmation or refutation of our predictions will be a valuable information which can help to understand the deformed single particle structure in these odd mass neutron deficient 133-137Sm.

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Section: Strongly Coupled Bands 1 Andmentioning

confidence: 56%

Microscopic study of electromagnetic properties and band spectra of neutron deficient ^133,135,137Sm

Pandit¹,

Bhat²,

Devi

et al. 2019

Chinese Phys. C

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“…TPSM calculations have been performed for odd-mass 125−137 Pr and 127−139 Pm isotopes using the axial and nonaxial deformations listed in Table 1 have been adopted from the earlier studies performed for these nuclei [16,22,44]. The intrinsic states obtained from the solution of the triaxial Nilsson potential with these deformation parameters are projected onto good angular-momentum states as discussed in the previous section.…”

Section: Resultsmentioning

confidence: 99%

“…As already stated in the introduction, the observed band crossing features in some of these isotopes could not be explained using the standard CSM approach and it was necessary to employ the selfconsistent TRS approach to shed light on the anomalous band crossing features. Further, in the earlier PSM study of the odd-proton isotopes, only neutron aligned states were considered in the basis space [22]. However, it was evident from the earlier analysis [21] that neutron and proton alignments compete, and it is imperative to include both two-neutron and two-proton aligned configurations in the basis space.…”

Section: Resultsmentioning

confidence: 99%

“…Further, band crossing features in odd-proton isotopes have been investigated using the projected shell model (PSM) approach. In this model, basis states are constructed from the solutions of the Nilsson potential with axial symmetry [22]. In the study of odd-proton nuclei, the basis space in PSM is comprised of one-proton and one-proton coupled to twoneutron configurations.…”

Section: Introductionmentioning

confidence: 99%

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Systematic study of near yrast band structures in odd-mass $^{125-137}$Pr and $^{127-139}$Pm isotopes

Jehangir,

Bhat,

Rather

et al. 2021

Preprint

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In the present work, the basis space in the triaxial projected shell model approach is expanded to include three and five quasiparticle configurations for odd-proton systems. This extension allows to investigate the high-spin band structures observed in odd-proton systems up to and including the second band crossing region, and as a first major application of this development, the high-spin properties are investigated for odd-mass 125−137 Pr and 127−139 Pm isotopes. It is shown that band crossings in the studied isotopes have mixed structures with first crossing dominated by one-proton coupled to two-neutron configuration for the lighter isotopes which then changes to three-proton configuration with increasing neutron number. Further, γ-bands based on quasiparticle states are also delineated in the present work, and it is predicted that these band structures built on threequasiparticle configurations become favoured in energy for heavier systems in the high-spin region.

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“…However, the dynamic moment of inertia is a very sensitive quantity as it describes the variation of J 1 . It is also a good tool for indicating changes in band structure at band crossing spin [24,25]. 160 Sm isotope is compared with the experimental data [2].…”

Section: Figure 3 the Calculated Moment Of Inertia J 1 As A Function ...mentioning

confidence: 99%

Investigation of Alignment Effects of Neutron and Proton Pairs in High Spin States of Band Crossing for <sup>159,160</sup>Sm Isotopes Using Projected Shell Model (PSM)

Pahlavani¹,

Teimoori²

2021

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Energy spectrum of nucleus is one the important information for better recognition of nuclear force and interaction of nucleon inside of the nucleus. Energy levels of nucleus are measured by detecting gamma-ray energy spectrum when a target nucleus bombarded with a special projectile to excite it in to levels higher than ground state. On the other hand, there are several models to calculate nuclear energy levels. Solution of the Schrödinger equation by considering a suitable potential is direct method to obtain energy levels of a quantum mechanical system like nucleus. Projected shell model is a model of this type that is developed by solving the Schrödinger equation for a set of potentials along with role of spin. Band structure and yrast bands for even-even and odd-even isotopes of Samarium ( 159,160 Sm) are calculated using a Fortran code founded based on the projected shell model (PSM). Energy levels of negative and positive parity bands of 159 Sm and 160 Sm isotopes of Samarium nucleus are obtained separately for each spin. Kinetic and dynamic moments of inertias are also calculated for these isotopes. The acquired results are compared with the experimental data. The electromagnetic reduced transition probabilities, B(M1)/B(E2) the behavior of dynamic moment of inertia J 2 , rotational kinetic energy and moment of inertia J 1 as a function of spin have also been investigated and proper comparison is made between the calculated results and the experimental data. The alignment phenomena of neutron-proton pairs in view of the rotational movement in high spin states has also been studied with reference to band crossing.

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Projected shell model study of yrast states of neutron-deficient odd-mass Pr nuclei

Cited by 36 publications

References 31 publications

Microscopic study of electromagnetic properties and band spectra of neutron deficient ^133,135,137Sm

Microscopic study of electromagnetic properties and band spectra of neutron deficient ^133,135,137Sm

Systematic study of near yrast band structures in odd-mass $^{125-137}$Pr and $^{127-139}$Pm isotopes

Investigation of Alignment Effects of Neutron and Proton Pairs in High Spin States of Band Crossing for <sup>159,160</sup>Sm Isotopes Using Projected Shell Model (PSM)

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Projected shell model study of yrast states of neutron-deficient odd-mass Pr nuclei

Cited by 36 publications

References 31 publications

Microscopic study of electromagnetic properties and band spectra of neutron deficient 133,135,137Sm

Microscopic study of electromagnetic properties and band spectra of neutron deficient 133,135,137Sm

Systematic study of near yrast band structures in odd-mass $^{125-137}$Pr and $^{127-139}$Pm isotopes

Investigation of Alignment Effects of Neutron and Proton Pairs in High Spin States of Band Crossing for &lt;sup&gt;159,160&lt;/sup&gt;Sm Isotopes Using Projected Shell Model (PSM)

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Microscopic study of electromagnetic properties and band spectra of neutron deficient ^133,135,137Sm

Microscopic study of electromagnetic properties and band spectra of neutron deficient ^133,135,137Sm

Investigation of Alignment Effects of Neutron and Proton Pairs in High Spin States of Band Crossing for <sup>159,160</sup>Sm Isotopes Using Projected Shell Model (PSM)