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The breathing-mode giant monopole resonance is studied within the framework of the relativistic mean-field (RMF) theory. Using a broad range of parameter sets, an analysis of constrained incompressibility and excitation energy of isoscalar…

Nuclear Theory · Physics 2007-05-23 M. V. Stoitsov , M. L. Cescato , P. Ring , M. M. Sharma

We use the canonical Hartree-Fock-Bogoliubov basis to implement a completely self-consistent quasiparticle-random-phase approximation with arbitrary Skyrme energy density functionals and density-dependent pairing functionals. The point of…

Nuclear Theory · Physics 2011-07-18 J. Terasaki , J. Engel , M. Bender , J. Dobaczewski , W. Nazarewicz , M. Stoitsov

We have performed a systematic study of the ground state for even-even 1,002 nuclei in which 28 octupole-deformed nuclei are found. The interplay between the spatial deformation and the pairing correlation, plays important roles in nuclear…

Nuclear Theory · Physics 2017-07-25 Shuichiro Ebata , Takashi Nakatsukasa

The isospin dependence of incompressibility is investigated in the Skyrme Hartree-Fock (SHF) and relativistic mean field (RMF) models. The correlations between the nuclear matter incompressibility and the isospin dependent term of the…

Nuclear Theory · Physics 2014-11-18 Hiroyuki Sagawa , Satoshi Yoshida , Guo-Mo Zeng , Jian-Zhong Gu , Xi-Zhen Zhang

The nuclear incompressibility $K_\infty$ is deduced from measurements of the Isoscalar Giant Monopole Resonance (ISGMR) in medium-heavy nuclei, and the resulting value turns out to be model dependent. Since the considered nuclei have…

Nuclear Theory · Physics 2009-11-10 G. Colo` , N. Van Giai , J. Meyer , K. Bennaceur , P. Bonche

An extended version of the antisymmetrized molecular dynamics to study structure of $p$-$sd$ shell hypernuclei is developed. By using an effective $\Lambda N$ interaction, we investigate energy curves of $^9_\Lambda$Be, $^{13}_\Lambda$C and…

Nuclear Theory · Physics 2011-05-13 Masahiro Isaka , Masaaki Kimura , Akinobu Dote , Akira Ohnishi

We show that the Liquid Drop Model is best suited to describe the masses of prolate deformed nuclei than of spherical nuclei. To this end three Liquid Drop Mass formulas are employed to describe nuclear masses of eight sets of nuclei with…

Nuclear Theory · Physics 2015-05-30 Jorge G. Hirsch , Cesar Barbero , Alejandro E. Mariano

We introduce a local-scaling point transformation to allow for modifying the asymptotic properties of the deformed three-dimensional Cartesian harmonic oscillator wave functions. The resulting single-particle bases are very well suited for…

Nuclear Theory · Physics 2011-05-12 M. V. Stoitsov , J. Dobaczewski , P. Ring , S. Pittel

The recent RCNP $(\alpha, \alpha')$ data on the Isoscalar Giant Monopole Resonance (ISGMR) and Isoscalar Giant Quadrupole Resonance (ISGQR) in $^{92,94,96,98,100}$Mo are analyzed within a fully self-consistent Quasiparticle Random Phase…

Halo phenomenon in deformed nuclei is studied by using a fully self-consistent deformed relativistic Hartree-Bogoliubov model in a spherical Woods-Saxon basis with the proper asymptotic behavior at large distance from the nuclear center.…

Nuclear Theory · Physics 2015-03-17 Shan-Gui Zhou , Jie Meng , P. Ring , En-Guang Zhao

The dependence of the nuclear level density on intrinsic deformation is an important input to dynamical nuclear processes such as fission. Auxiliary-field Monte Carlo (AFMC) method is a powerful method for computing nuclear level densities.…

Nuclear Theory · Physics 2018-09-26 M. T. Mustonen , C. N. Gilbreth , Y. Alhassid , G. F. Bertsch

Nuclear shape and orientation degrees of freedom are incorporated into the calculation of the double-folding nuclear potential within the relativistic mean-field (RMF) formalism. The quadrupole deformations ($\beta_2$), nuclear densities…

Nuclear Theory · Physics 2024-08-30 Shilpa Rana , M. Bhuyan , Raj Kumar , B. V. Carlson

We develop a new framework of the self-consistent deformed proton-neutron quasiparticle-random-phase approximation (pnQRPA), formulated in the Hartree-Fock-Bogoliubov (HFB) single-quasiparticle basis. The same Skyrme force is used in both…

Nuclear Theory · Physics 2013-11-05 Kenichi Yoshida

Deformed and spherical even-even nuclei are studied using a finite range simple effective interaction within the Hartree-Fock-Bogoliubov mean field approach. Different parameter sets of the interaction, corresponding to different…

Nuclear Theory · Physics 2017-04-13 B. Behera , X. Viñas , T. R. Routray , L. M. Robledo , M. Centelles , S. P. Pattnaik

Isoscalar giant resonances are nuclear collective excitations associated with the oscillation in phase of protons and neutrons according to a certain multipolarity $L$. In particular, the isoscalar giant monopole resonance ($L=0$) is the…

Nuclear Theory · Physics 2024-06-25 J. C. Zamora , S. Giraud

The continuum random-phase approximation is extended to the one applicable to deformed nuclei. We propose two different approaches. One is based on the use of the three dimensional (3D) Green's function and the other is the small-amplitude…

Nuclear Theory · Physics 2009-11-10 Takashi Nakatsukasa , Kazuhiro Yabana

We discuss properties of the quadrupole collective excitation of the deformed neutron-rich nucleus $^{38}$Mg within the framework of quasi-particle random phase approximation (QRPA). We first solve the coupled-channels equations to obtain…

Nuclear Theory · Physics 2015-06-26 K. Hagino , Nguyen Van Giai , H. Sagawa

The interpretation of nuclear observables in the laboratory frame in terms of the intrinsic deformation parameters beta and gamma is a classical theme in nuclear structure. Here we use the quadrupole invariants (Kumar), calculated within…

Nuclear Theory · Physics 2020-05-20 Alfredo Poves , Frederic Nowacki , Yoram Alhassid

Halo phenomena in deformed nuclei are investigated within a deformed relativistic Hartree Bogoliubov (DRHB) theory. These weakly bound quantum systems present interesting examples for the study of the interdependence between the deformation…

Nuclear Theory · Physics 2014-11-20 Shan-Gui Zhou , Jie Meng , P. Ring , En-Guang Zhao

The incompressibility of finite fermionic systems is investigated using analytical approaches and microscopic models. The incompressibility of a system is directly linked to the zero-point kinetic energy of constituent fermions, and this is…

Nuclear Theory · Physics 2015-06-15 E. Khan , N. Paar , D. Vretenar , Li-Gang Cao , H. Sagawa , G. Colo