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In the rotational model for a K=0 band in an even-even nucleus, there is a single parameter--Q_0, the intrinsic quadrupole moment. All B(E2)'s in the band and all static quadrupole moments are expressed in terms of this one parameter. In…

Nuclear Theory · Physics 2007-06-12 A. Escuderos , L. Zamick

We define the ``quadrupole ratio'' $r_Q = \dfrac{Q_0(S)}{Q_0(B)}$ where $Q_0(S)$ is the intrinsic quadrupole moment obtained from the static quadrupole moment of the $2_1^+$ state of an even-even nucleus and $Q_0(B)$ the intrinsic…

Nuclear Theory · Physics 2008-08-28 Sean Yeager , Larry Zamick

In previous works we examined they systematics of magnetic dipole transitions in a single j shell. We here extend the study to large space calculations.We consider the nuclei $^{44}$ Ti, $^{46}$Ti and $^{48}$C. Of particular interest is the…

Nuclear Theory · Physics 2021-04-27 Arun Kingan , Michael Quinonez , Xiaofei Yu , Larry Zamick

We define the "quadrupole ratio" r_{Q}=\dfrac{Q_{0}(S)}{Q_{0}(B)} where Q_{0}(S) is the intrinsic quadrupole moment obtained from the static quadrupole moment of the 2_{1}^{+} state of an even-even nucleus and Q_{0}(B) the intrinsic…

Nuclear Theory · Physics 2017-02-22 S. Yeager , L. Zamick , Y. Y. Sharon , Xiaofei Yu , S. J. Q. Robinson

The effect of an octupole term in a quadrupole deformed single particle potential is studied from the classical and quantum mechanical view point. Whereas the problem is nonintegrable, the quantum mechanical spectrum nevertheless shows some…

Nuclear Theory · Physics 2009-10-28 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

Correspondence between classical periodic orbits and quantum shell structure is investigated for a reflection-asymmetric deformed oscillator model as a function of quadrupole and octupole deformation parameters. Periodic orbit theory…

Nuclear Theory · Physics 2009-10-28 Ken-ichiro Arita , Kenichi Matsuyanagi

Temperature and angular momentum dependence of the quadrupole deformation is studied in the middle of the sd-shell for 28Si and 27Si isotopes using the spherical shell model approach. The shell model calculations have been performed using…

Nuclear Theory · Physics 2010-11-02 P. A. Ganai , J. A. Sheikh , I. Maqbool , R. P. Singh

Magnetic dipole ($M1$) moments in nuclei neighboring the doubly-magic core are investigated by the self-consistent mean-field (SCMF) approaches that allow for the breaking of the time-reversal symmetry. By the SCMF calculations with the…

Nuclear Theory · Physics 2026-01-21 H. Nakada , H. Iwata

The magnetic dipole strength and energy-weighted strength distribution is calculated in $^8\mbox{Be}$, as well as the separate orbit and spin parts. All $\Delta N$=$2$ excitations over and above (and including) the configuration…

Nuclear Theory · Physics 2009-10-28 M. S. Fayache , L. Zamick

Magnetic dipole strength functions are determined for the series of germanium isotopes from $N = Z = 32$ to $N$ = 48 on the basis of a large number of transition strengths calculated within the shell model. The evolution of the strength…

Nuclear Theory · Physics 2022-04-06 S. Frauendorf , R. Schwengner

Electric quadrupole (E2) matrix elements provide a measure of nuclear deformation and related collective structure. Ground-state quadrupole moments in particular are known to high precision in many p-shell nuclei. While the experimental…

Nuclear Theory · Physics 2021-10-04 M. A. Caprio , P. J. Fasano , P. Maris , A. E. McCoy

Shell model calculations are performed for magnetic dipole excitations in $^8{Be}$ and $^{10}{Be}$ in which all valence configurations plus $2\hbar\omega$ excitations are allowed (large space). We study both the orbital and spin…

Nuclear Theory · Physics 2009-10-28 M. S. Fayache , S. Shelly Sharma , L. Zamick

Transition probabilities of the ground-state bands in $\gamma$-soft nuclei are studied for the first time using the triaxial projected shell model approach. It is observed that the angular-momentum dependence of the transition quadrupole…

Nuclear Theory · Physics 2009-11-07 Javid A. Sheikh , Yang Sun , Rudrajyoti Palit

Evolution of quadrupole deformations in $sd$ and $pf$ shell nuclei with mass A= 18$\sim$56 is studied by using deformed Skyrme Hartree-Fock (HF) model with pairing correlations. We point out that the quadrupole deformations of the nuclei…

Nuclear Theory · Physics 2009-11-11 H. Sagawa , X. R. Zhou , X. Z. Zhang

Nuclei exhibit both single-particle and collective degrees of freedom, with the latter often subdivided into vibrational and rotational motions. Experimentally identifying the relative roles of these collective modes is extremely…

Nuclear Theory · Physics 2020-11-11 J. Henderson

Magnetic dipole(M1) transitions of N=11 nuclei, $^{17}$C and $^{21}$Ne are investigated by using shell model and deformed Skyrme Hartree-Fock+blocked BCS wave functions. Shell model calculations predict well observed energy spectra and…

Nuclear Theory · Physics 2008-11-26 H. Sagawa , X. R. Zhou , Toshio Suzuki , N. Yoshida

For a $Q \cdot Q$ interaction the energy weighted sum rule for isovector orbital magnetic dipole transitions is proportional to the difference $\sum B(E2, isoscalar) - \sum B(E2, isovector)$, not just to $\sum B(E2, physical)$. This fact is…

Nuclear Theory · Physics 2016-08-15 Y. Y. Sharon , L. Zamick , M. S. Fayache , G. Rosensteel

The spectroscopic quadrupole moment of the first excited state, $Q_{_S}(2^{+}_{1})$, at 1.634 MeV in $^{20}$Ne was determined from sensitive reorientation-effect Coulomb-excitation measurements using a heavy target and safe energies well…

Nuclei with an octupole deformation have a non-zero electric octupole moment, electric dipole moment (EDM), Schiff moment and magnetic quadrupole moment (MQM) in the intrinsic frame which rotates with the nucleus. In a state with definite…

High Energy Physics - Phenomenology · Physics 2022-06-29 V. V. Flambaum , A. J. Mansour

The B(E2:0_1^+ -> 2_1^+) values of the Ba isotopes (Z=56) exhibit a sharp increase in deformation as the neutron numbers approach the mid-shell value of N=66. This behavior is anomalous because the 2_1^+ level energies are very similar to…

Nuclear Theory · Physics 2009-10-31 M. Sugita , K. Uchiyama , K. Furuno
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