Phase change near<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>70</mml:mn></mml:mrow></mml:math>in the wave function of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>I</mml:mi><mml:mi>π</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:mn>11</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mo>−</mml:mo></mml:msup></mml:mrow></mml:math>isomers along the cadmium-isotope chain

Lei, Y.; Jiang, Hui; P̧ittel, S.

doi:10.1103/physrevc.92.024321

Cited by 6 publications

(3 citation statements)

References 21 publications

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“…− states and other single-particle states in odd-A nuclei to the B(E2) values of the first excited 2 + states in even-even nuclei [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. This is in addition to the continuing interest in Cd isotopes since decades, both theoretical and experimental , where they were first labeled as vibrators and then refuted this status by supporting a weakly deformed structure.…”

Section: Introductionmentioning

confidence: 99%

Evolution of nuclear structure in and around Z = 50 closed shell: Generalized seniority in Cd, Sn and Te isotopes

2019

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We study the quadrupole moments and the B(E2; 2 + → 0 + ) values for the 11/2 − states and the first 2 + states, respectively, by using a multi-j generalized seniority approach in the Cd (Z = 48), Sn (Z = 50) and Te (Z = 52) isotopic chains. The g-factor trends have also been discussed. Although, Cd and Te isotopes represent two-proton hole and two-proton particle systems, thus involving both kind of particles (protons and neutrons) in contrast to Sn (Z = 50) where only neutrons play a role, we find that a similar model based on neutron valence space alone is able to explain nearly all the gross features and trends. This paper represents the first attempt to test the validity of the generalized seniority scheme away from the semi-magic region and appears to be surprisingly successful. The linearly varying quadrupole moments in Cd, Sn and Te isotopes, are described by using a consistent multi-j configuration. The asymmetric double-hump behavior of B(E2) values in Cd and Te isotopes are understood in a manner identical to that of Sn isotopes by using the generalized seniority scheme for the first time. No shell quenching is supported in the calculations; hence, the neutron magic numbers, N = 50 and N = 82, remain robust in these isotopic chains.

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Section: Introductionmentioning

confidence: 99%

Evolution of nuclear structure in and around Z = 50 closed shell: Generalized seniority in Cd, Sn and Te isotopes

2019

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“…Self-consistent calculations with the covariant density functional theory corroborate our conclusions. Nonetheless, our approach does not address the magnetic properties of the above nuclides [40,41], or their 3=2 þ quadrupole moments in particular. Further theoretical work, notably by using the spherical shell model in a large model space, would be highly beneficial for understanding all aspects of the nuclear simplicity in this region of the nuclear chart.…”

Section: -3mentioning

confidence: 99%

Simple Nuclear Structure inCd111–129from Atomic Isomer Shifts

et al. 2016

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Isomer shifts have been determined in [111][112][113][114][115][116][117][118][119][120][121][122][123][124][125][126][127][128][129] Cd by high-resolution laser spectroscopy at CERN-ISOLDE. The corresponding mean square charge-radii changes, from the 1=2 þ and the 3=2 þ ground states to the 11=2 − isomers, have been found to follow a distinct parabolic dependence as a function of the atomic mass number. Since the isomers have been previously associated with simplicity due to the linear mass dependence of their quadrupole moments, the regularity of the isomer shifts suggests a higher order of symmetry affecting the ground states in addition. A comprehensive description assuming nuclear deformation is found to accurately reproduce the radii differences in conjunction with the known quadrupole moments. This intuitive interpretation is supported by covariant density functional theory. DOI: 10.1103/PhysRevLett.116.032501 Complexity is known to dominate the nuclear state, hence, sustaining the need for theoretical input to nearly every experimental work in order to disentangle the nuclear problem down to a set of basic concepts, e.g., shell structure, pairing, "magic" numbers, deformation, etc. However, in near-closed-shell nuclei, simple structures may occur as a result of the spherical symmetry breaking up. The cadmium isotopic chain studied here appears to provide one such instance of simplicity.Already [4,5] or states in the same nucleus [6]. Thus far, radial changes of such magnitude appear to be uncommon, the other prominent examples being the halo structures in light nuclei [7][8][9][10][11] and the onset of deformation at N ¼ 60 [12][13][14][15][16]. Cadmium and mercury are analogues in terms of their charge distributions since both incorporate an open shell with two protons less than a magic number, respectively, Z ¼ 50 and Z ¼ 82. Despite the similarities, the cadmium case presented here shows no abrupt changes of the nuclear size. Instead, one observes a small-to-moderate effect on the radii characterized by regularity which may be attributed to the unique-parity h 11=2 orbital.In this Letter, we report on the simplicity of high-precision isomer shifts derived from collinear laser spectroscopy on the neutron-rich cadmium isotopes towards the N ¼ 82 shell closure. A comprehensive model resting on some of the basic concepts in nuclear physics suggests an apparent link between the 11=2 − radii and quadrupole moments. The credibility of such an interpretation is examined quantitatively within a relativistic mean field calculation.The work was carried out with the collinear laser spectroscopy setup at the CERN-ISOLDE radioactivebeam facility. Of interest were the odd neutron-rich

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“…Recently, it was reported that the I π = 11/2 − electromagnetic moments of neutron rich Cd isotopes are also simply regulated with an obvious linear systematics as changing neutron number [9]. Several theoretical investigations tried to understand this linear systematics based on the BCS [10], density functional theory [11], and schematic Shell Model [12]. However, it's still the challenge to explain how such simplicity survives out of the complex nuclear structure [13].…”

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confidence: 99%

Random-interaction study on linear systematics of $I^π=11/2^-$ electromagnetic moments in Cd isotope chain

Qin,

Lei

2017

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Phase change nearN=70in the wave function of theIπ=11/2−isomers along the cadmium-isotope chain

Cited by 6 publications

References 21 publications

Evolution of nuclear structure in and around Z = 50 closed shell: Generalized seniority in Cd, Sn and Te isotopes

Evolution of nuclear structure in and around Z = 50 closed shell: Generalized seniority in Cd, Sn and Te isotopes

Simple Nuclear Structure inCd111–129from Atomic Isomer Shifts

Random-interaction study on linear systematics of $I^π=11/2^-$ electromagnetic moments in Cd isotope chain

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