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Related papers: Quadrupole collectivity in Si isotopes around N=20

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The electric-quadrupole coupling constant of the ground states of the proton drip line nucleus $^{20}$Na($I^{\pi}$ = 2$^{+}$, $T_{1/2}$ = 447.9 ms) and the neutron-deficient nucleus $^{21}$Na($I^{\pi}$ = 3/2$^{+}$, $T_{1/2}$ = 22.49 s) in a…

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

Recently we have proposed a reliable method to describe the rotational band in a fully microscopic manner. The method has recourse to the configuration-mixing of several cranked mean-field wave functions after the…

Nuclear Theory · Physics 2016-05-04 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

Single-step Coulomb excitation of $^{46,48,49,50}$Ti is presented. A complete set of $E2$ matrix elements for the quintuplet of states in $^{49}$Ti, centered on the $2^+$ core excitation, was measured for the first time. A total of nine…

This paper reports the first observation of the Jacobi shape transition in $^{31}$P using high energy $\gamma$-rays from the decay of giant dipole resonance (GDR) as a probe. The measured GDR spectrum in the decay of $^{31}$P shows a…

The ground and low-lying states of neutron-rich exotic Te and Sn isotopes are studied in terms of the nuclear shell model by the same Hamiltonian used for the spherical-deformed shape phase transition of Ba isotopes, without any adjustment.…

Nuclear Theory · Physics 2014-11-18 Noritaka Shimizu , Takaharu Otsuka , Takahiro Mizusaki , Michio Honma

The method of group theory is applied to investigate the ground and the excited states of the triton and helium nuclei by using the translation invariant shell model with basis functions corresponding to even number of quanta of excitations…

Nuclear Theory · Physics 2016-07-19 S. B. Doma , H. S. El-Gendy

The beyond mean-field approach for low-lying hypernuclear states is extended by mixing the configurations associated with both single-particle and quadrupole-octupole collective excitations within the generator coordinate method based on a…

Nuclear Theory · Physics 2023-04-07 H. J. Xia , X. Y. Wu , H. Mei , J. M. Yao

We study the development of collectivity in the neutron-rich nuclei around $N=40$, where experimental and theoretical evidences suggest a rapid shape change from the spherical to the rotational regime, in analogy to what happens at the {\it…

Nuclear Theory · Physics 2010-09-10 Silvia Lenzi , Frédéric Nowacki , Alfredo Poves , Sieja Kamila

We report on the results of the calculations of the low energy excitation patterns for three Zirconium isotopes, viz. $^{80}$Zr$_{40}$, $^{96}$Zr$_{56}$ and $^{110}$Zr$_{70}$, reported by other authors to be doubly-magic tetrahedral nuclei…

Nuclear Theory · Physics 2015-06-23 Shingo Tagami , Yoshifumi R Shimizu , Jerzy Dudek

We calculate correlation energies associated with the quadrupolar shape degrees of freedom with a view to improving the self-consistent mean-field theory of nuclear binding energies. The Generator Coordinate Method is employed using…

Nuclear Theory · Physics 2009-11-10 M. Bender , G. F. Bertsch , P. -H. Heenen

Low-frequency quadrupole vibrational modes in deformed $^{36,38,40}$Mg close to the neutron drip line are studied by means of the quasiparticle-random-phase approximation based on the coordinate-space Hartree-Fock-Bogoliubov formalism.…

Nuclear Theory · Physics 2007-05-23 K. Yoshida , M. Yamagami , K. Matsuyanagi

We present a method based on mean-field states generated by triaxial quadrupole constraints which are projected on particle number and angular momentum and mixed by the generator coordinate method on the quadrupole moment. This method is…

Nuclear Theory · Physics 2008-11-26 M. Bender , P. -H. Heenen

The microscopic structure of neutron-rich sd-shell nuclei is investigated by using the spherical shell-model in the sd-pf valence space with the extended pairing plus quadrupole-quadrupole forces accompanied by the monopole interaction…

Nuclear Theory · Physics 2015-03-17 Kazunari Kaneko , Yang Sun , Takahiro Mizusaki , Munetake Hasegawa

Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term…

Nuclear Theory · Physics 2009-09-25 Bozena Nerlo-Pomorska , Beata Mach

Recent experiments performed in neutron-rich copper isotopes have revealed a crossing in the nucleus $^{75}$Cu between the $3/2^-$ and $5/2^-$ levels, which correspond to the ground-state and the first excited state in isotopes with mass…

Nuclear Theory · Physics 2023-08-02 T. R. Routray , P. Bano , M. Anguiano , M. Centelles , X. Viñas , L. M. Robledo

Quasi-elastic (QEL) scattering measurements have been performed using the $^{28, 30}$Si projectiles off the $^{90}$Zr target at energies around the Coulomb barrier. Coupled-channels (CC) calculations were carried out in a large parameter…

The evolution of quadrupole and octupole collectivity and their coupling is investigated in a series of even-even isotopes of the actinide Ra, Th, U, Pu, Cm, and Cf with neutron number in the interval $130\leqslant N\leqslant 150$. The…

Nuclear Theory · Physics 2021-04-21 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo , J. E. García-Ramos

The phenomenological classification of collective quadrupole excitations by means of the Bohr Hamiltonian is reviewed with focus on signatures for triaxility. The variants of the microscopic Bohr Hamiltonian derived by means of the…

Nuclear Theory · Physics 2015-10-28 S. Frauendorf
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