Semiclassical description of the shears mechanism and the role of effective interactions

Macchiavelli, A. O.; Clark, R. M.; Fallon, P.; Deleplanque, M. A.; Diamond, R. M.; Krücken, R.; Lee, I. Y.; Stephens, F. S.; Asztalos, S. J.; Vetter, K.

doi:10.1103/physrevc.57.r1073

Cited by 82 publications

(80 citation statements)

References 9 publications

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“…The total angular momentum can be evaluated by imposing the energy minimization condition as function of θ and is given by I = a j+ 2 j cos θ + 1.5ℑV πν cos θ j − 6ℑV ππ cos 2θ cos θ n j (1) where, V πν is the interaction strength [42]. The hole-hole (proton-proton) attractive interaction is V ππ P 2 (2θ ) (4 th term) and has been assumed to be of the same form [42] with the additional boundary condition that it vanishes for θ = 0 [43]. This condition implies that in the present case, the particle-particle (neutron-neutron) interaction is absent.…”

Section: Isotopes: 108110 CDmentioning

confidence: 99%

“…It is to be noted that a band solely originating from AMR, the core moment of inertia (ℑ) is set to be zero [42,10]. For such band, the rotational frequency (ω sh ) can be calculated through ( …”

Section: Isotopes: 108110 CDmentioning

confidence: 99%

“…[42,2,10]. In Cd-isotopes, the two symmetric shears are formed between j h (1) = j h (2) = j π and j p = j ν = a j π .…”

Section: Isotopes: 108110 CDmentioning

confidence: 99%

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Interplay between tilted and principal axis rotation

Datta¹,

Roy²,

Chattopadhyay³

2014

AIP Conference Proceedings

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Abstract. At IUAC-INGA, our group has studied four neutron rich nuclei of mass-110 region, namely 109,110 Ag and 108,110 Cd. These nuclei provide the unique platform to study the interplay between Tilted and Principal axis rotation since these are moderately deformed and at the same time, shears structures are present at higher spins. The salient features of the high spin behaviors of these nuclei will be discussed which are the signatures of this interplay.

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Section: Isotopes: 108110 CDmentioning

confidence: 99%

Section: Isotopes: 108110 CDmentioning

confidence: 99%

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Interplay between tilted and principal axis rotation

Datta¹,

Roy²,

Chattopadhyay³

2014

AIP Conference Proceedings

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“…Two theoretical approaches were proposed for the description of the observed experimental features: the tilted-axis cranking (TAC) model [4][5][6] and an empirical approach that assumes a particular effective interaction between high-spin particles and holes [2,8]. The TAC model is a mean-field approach that considers cases for which the angular momentum of a nucleus does not coincide with one of the principle axes.…”

Section: Introductionmentioning

confidence: 99%

Spin, quadrupole moment, and deformation of the magnetic-rotational band head inPb193

Balabanski

Ionescu‐Bujor²,

Iordăchescu³

et al. 2011

Phys. Rev. C

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The spectroscopic quadrupole moment of the T 1/2 = 9.4(5) ns isomer in 193 Pb at an excitation energy E ex = (2585 + x) keV is measured by the time-differential perturbed angular distribution method as |Q s | = 2.6(3) e b. Spin and parity I π = 27/2 − are assigned to it based on angular distribution measurements. This state is the band head of a magnetic-rotational band, described by the coupling of a neutron hole in the 1i 13/2 subshell with the (3s −2 1/2 1h 9/2 1i 13/2 ) 11 − proton excitation. The pairing-plus-quadrupole tilted-axis cranking calculations reproduce the measured quadrupole moment with a moderate oblate deformation 2 = −0.11, similar to that of the 11 − proton intruder states, which occur in the even-even Pb nuclei in the region. This is the first direct measurement of a quadrupole moment and thus of the deformation of a magnetic-rotational band head.

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“…The enhanced M1 transitions are due to the rotation of the magnetic dipoles around the total angular momentum [11]. In addition to the TAC model [9], these bands have been reproduced in terms of an effective interaction between the proton and neutron spins by Macchiavelli et al [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

High-spin level scheme ofPb194

Kutsarova¹,

Stefanova²,

Minkova³

et al. 2009

Phys. Rev. C

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High-spin states in 194 Pb have been populated in the 168 Er( 30 Si,4n) reaction at 142 MeV. The emitted γ rays were detected by the EUROBALL III multidetector array. The level scheme was considerably extended and many previously observed γ -ray transitions were reordered. Four new magnetic rotational bands were observed. The energies and spins of the bandheads of all previously observed magnetic rotational bands were corrected based on the observation of new transitions. From nine observed bands, only one could not be connected to the lower lying states. Based on comparison systematics with neighboring Pb isotopes and tilted-axis cranking model calculations previously reported, configuration assignments to the observed bands have been made.

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Semiclassical description of the shears mechanism and the role of effective interactions

Cited by 82 publications

References 9 publications

Interplay between tilted and principal axis rotation

Interplay between tilted and principal axis rotation

Spin, quadrupole moment, and deformation of the magnetic-rotational band head inPb193

High-spin level scheme ofPb194

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