Shell model calculations of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>B</mml:mi><mml:mo>(</mml:mo><mml:mi>E</mml:mi><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>values, static quadrupole moments, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>g</mml:mi></mml:math>factors for a number of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mi>Z</mml:mi></mml:mrow></mml:math>nuclei

Robinson, S. J. Q.; Hoang, T.; Zamick, Larry; Escuderos, A.; Sharon, Y. Y.

doi:10.1103/physrevc.89.014316

Cited by 24 publications

(29 citation statements)

References 18 publications

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“…During the last decades, the nuclei in A~50 mass region were investigated as reported in Refs. [3][4][5][6][7][8][9]. The shape phase transition was studied for the light nuclei with number of proton Z=20-28 including also Ti isotopes [3].…”

Section: Introductionmentioning

confidence: 99%

“…Another SM calculations were performed by using the same interactions for N=Z isotopes [7]. SM was used for the systematic calculations of first 2 + levels and B(E2) transitions of the pf-shell nuclei including also even-even Ti isotopes [8]. Excitation energies of J π =2 + states, two-neutron separation energies (S2n), and B(E2) values along the isotopic chains of the fp shell nuclei were analyzed within the SM [9].…”

Section: Introductionmentioning

confidence: 99%

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Description of even-even Ti isotopes within IBM-1 model

Şahin

Böyükata

2021

Cumhuriyet Science Journal

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In this work, the some collective properties of even-even Ti isotopes in the A50 mass region were studied by using the interacting boson model-1 (IBM-1). This study includes calculations of the energy levels and the electromagnetic transition rates of [44][45][46][47][48] Ti and [52][53][54][55][56][57][58][59][60] Ti isotopes. The neutron number 50 Ti isotope is 28, the magic number, and this isotope was excluded from the IBM-1 calculations. First, the energy ratios were analyzed by comparing the typical values of U(5), SU(3), O(6) dynamical symmetries and E(5), X(5) critical point symmetries. Later model Hamiltonian was constructed according to the behavior of given isotopes. The low lying energy levels of each Ti isotopes were calculated by using the fitted parameters of Hamiltonian. B(E2) values were also calculated by using the corresponding electromagnetic transition operator in the IBM-1. The calculation results were compared with experimental data and they are in good agreement with each other. Finally, R 4/2 = E(4 1 + )/E(2 1 + ), R 0/2 = E(0 2 + )/E(2 1 + ) energy ratios and B(E2: 4 1 + → 2 1 + )/B(E2: 2 1 + → 0 1 + ), B(E2: 0 2 + → 2 1 + )/ B(E2: 2 1 + → 0 1 + ) ratios were analized to see the behavior of given isotopes. According to obtained results, Ti isotopes show E(5) behavior along the transition path from spherical to deformed -unstable region. Overall analysis indicates that these isotopes can be good example for the quantum shape phase studies along the isotopic chain.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Description of even-even Ti isotopes within IBM-1 model

Şahin

Böyükata

2021

Cumhuriyet Science Journal

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“…There are quite many recent publications following the same direction or re-interpret the results in slight different ways (see, Refs. [70,71,72,73,74,75] and references contained therein). A detailed investigation on the applications of the nucleon-pair approximation of the shell model on this subject is presented in Ref.…”

Section: Seniority and Np Coupling Schemesmentioning

confidence: 99%

N=Znuclei: a laboratory for neutron–proton collective mode

Qi¹,

Wyss²

2015

Phys. Scr.

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The neutron-neutron and proton-proton pairing correlations have long been recognized to be the dominant many-body correlation beyond the nuclear mean field since the introduction of pairing mechanism by Bohr, Mottelson and Pines nearly 60 year ago. Nevertheless, few conclusion has been reached concerning the existence of analogous neutron-proton (np) pair correlated state. One can see a renaissance in np correlation studies in relation to the significant progress in radioactive ion beam facilities and detection techniques.The np pairs can couple isospin T = 1 (isovector) or 0 (isoscalar).In the isovector channel, the angular momentum zero component is expected to be the most importance one. On the other hand, as one may infer from the general properties of the np two-body interaction, in the isoscalar channel, both the np pairs with minimum (J=1) and maximum (J=2j) spin values can be important. In this contribution, we will discuss the possible evidence for np pair coupling from different perspective and analyze its influence on interesting phenomena including the Wigner effect and mass correlations in odd-odd nuclei. In particular, we will explain the spin-aligned pair coupling scheme and quartet coupling involving pairs with maximum (J=2j) spin values.

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“…It may be interesting to mention that a similar picture with rotational-like B(E2) transitions and vibrationallike spectrum is also predicted for N = Z nuclei like 92 Pd [55] in relation to the quest for the possible existence of np pairing in N ∼ Z nuclei for which there is still no conclusive evidence after long and extensive studies (see, recent discussions in Refs. [55][56][57][58][59][60][61][62]). Moreover, the α formation amplitude may increase as a result of of the strong neutron-proton correlation.…”

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confidence: 99%

Shell-model configuration-interaction description of quadrupole collectivity in Te isotopes

2016

Phys. Rev. C

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We present systematic calculations on the spectroscopy and transition properties of even-even Te isotopes by using the large-scale configuration interaction shell model approach with a realistic interaction. These nuclei are of particular interest since their yrast spectra show a vibrational-like equally-spaced pattern but the few known E2 transitions show anomalous rotational-like behavior, which cannot be reproduced by collective models. Our calculations reproduce well the equallyspaced spectra of those isotopes as well as the constant behavior of the B(E2) values in 114 Te. The calculated B(E2) values for neutron-deficient and heavier Te isotopes show contrasting different behaviors along the yrast line. The B(E2) of light isotopes can exhibit a nearly constant bevavior upto high spins. We show that this is related to the enhanced neutron-proton correlation when approaching N = 50. [13][14][15][16][17][18][19][20][21] activities, in particular regarding the fundamental roles played by core excitations and the nuclear pairing correlation (or seniority coupling). The study of transition rates in isotopic chains just above Z = 50 may provide further information on the role of core excitations [22,23]. The limited number of valence protons and neutrons are not expected to induce any significant quadrupole correlation in this region [24][25][26][27]. The low-lying collective excitations of those nuclei were discussed in terms of quadrupole vibrations [24,28] in relation to the fact that the even-even Te isotopes between N = 56 and 70 show regular equallyspaced yrast spectra (c.f., Fig. 1 in Ref. [24]). If that is the case, the Te isotopes will provide an ideal ground to explore the nature of the elusive nuclear vibration and the residual interactions that leading to that collectivity. However, the available E2 transition strengths along the yrast line in 114,120−124 Te show an anomalous rotationallike behavior, which can not be reproduced by collective models or the interacting boson model [29,30]. Another intriguing phenomenon is the nearly constant behavior of the energies of the 2 + and 4 + states in Te and Xe isotopes and their ratios when approaching N = 50, in contrast to the decreasing behavior when approaching N = 82 [24]. This was analyzed in Ref.[31] based on the quasiparticle random phase approximation approach where an competition between the quadurople-quadrupole correlation and neutron-proton pairing correlation was suggested.An enhanced interplay between neutrons and protons * chongq@kth.se is expected in the 100 Sn region since the protons and neutrons partially occupy the same quantum orbitals near the Fermi level [24,[31][32][33]. In relation to that, there has also been a long effort searching for superallowed alpha decays from those N ∼ Z isotopes [34,35]. The region is also expected to be the endpoint of the astrophysical rapid proton capture (rp) process [36,37]. The octupole correlation may also play a role here (the coupling between the 0h 11/2 and 1d 5/2 orbitals) [26,38,39]. Still, compa...

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Shell model calculations ofB(E2)values, static quadrupole moments, andgfactors for a number ofN=Znuclei

Cited by 24 publications

References 18 publications

Description of even-even Ti isotopes within IBM-1 model

Description of even-even Ti isotopes within IBM-1 model

N=Znuclei: a laboratory for neutron–proton collective mode

Shell-model configuration-interaction description of quadrupole collectivity in Te isotopes

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