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The structure of low-lying states of $N=50$ nuclei is investigated by the advanced Monte Carlo shell model (MCSM) in the $\pi{(fp)}$-$\nu{(sdg)}$ model space. We have employed the shell-model Hamiltonian based on the valence-space in-medium…

Nuclear Theory · Physics 2025-10-21 Anil Kumar , Noritaka Shimizu , Takayuki Miyagi , Yusuke Tsunoda , Yutaka Utsuno

We study the properties of the nuclear rotational excitations with hypothetical tetrahedral symmetry by employing the microscopic mean-field and residual-interaction Hamiltonians with angular-momentum and parity projection method; we focus…

Nuclear Theory · Physics 2015-06-12 Shingo Tagami , Yoshifumi R. Shimizu , Jerzy Dudek

We present a calculation of the properties of vibrational states in deformed, axially--symmetric even--even nuclei, within the framework of a fully self--consistent Quasparticle Random Phase Approximation (QRPA). The same Skyrme energy…

Nuclear Theory · Physics 2011-02-28 C. Losa , A. Pastore , T. Dossing , E. Vigezzi , R. A. Broglia

Pairing rotations and pairing vibrations are collective modes associated with a field, the pair field, which changes the number of particles by two. Consequently, they can be studied at profit with the help of two-particle transfer…

Nuclear Theory · Physics 2015-06-11 G. Potel , A. Idini , F. Barranco , E. Vigezzi , R. A. Broglia

In this paper, we present a theoretical study of a conjonction of $\gamma$-rigid and $\gamma$-stable collective motions in critical point symmetries of the phase transitions from spherical to deformed shapes of nuclei using exactly…

Nuclear Theory · Physics 2016-12-21 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

We investigate the presence of spatial localization in nuclei using a method that maps the nucleon same-spin pair probability and is based on the density-matrix. The method is used to study spatial localization of light nuclei within the…

Nuclear Theory · Physics 2011-03-22 P. -G. Reinhard , J. A. Maruhn , A. S. Umar , V. E. Oberacker

We analyze the nearest neighbor spacing distributions of low-lying 2+ levels of even-even nuclei. We grouped the nuclei into classes defined by the quadrupole deformation parameter (Beta2). We calculate the nearest neighbor spacing…

Nuclear Theory · Physics 2011-02-14 A. Al-Sayed

Excited states in low-energy spectra in $^{70-76}$Ni are considered. To this end, pairing forces in form of surface delta interaction are employed to account for formation of the ground state multiplet with seniority $\nu = 2$ states. The…

Nuclear Theory · Physics 2023-12-11 S. Sidorov , D. Zhulyaeva , T. Tretyakova

Calculation of statistical properties of nuclei in a finite-temperature mean-field theory requires projection onto good particle number, since the theory is formulated in the grand canonical ensemble. This projection is usually carried out…

Nuclear Theory · Physics 2018-01-23 P. Fanto , Y. Alhassid , G. F. Bertsch

Ab-initio Quantum Monte Carlo (QMC) calculations of nuclei from deuterium to 40Ca, obtained using four different phenomenological and local chiral nuclear potentials, are analyzed using the Generalized Contact Formalism (GCF). We extract…

A semiclassical model based on the solution of the Vlasov equation for finite systems with a sharp moving surface has been used to study the isoscalar quadrupole and octupole collective modes in heavy spherical nuclei. Within this model, a…

Nuclear Theory · Physics 2017-08-23 V. I. Abrosimov , A. Dellafiore , F. Matera

Deformed shell model (DSM) based on Hartree-Fock intrinsic states is applied to address two current problems of interest. Firstly, in the $f_{5/2}pg_{9/2}$ model space with jj44b effective interaction along with isospin projection, DSM is…

Nuclear Theory · Physics 2016-10-11 R. Sahu , V. K. B. Kota

Adjustment of the behavior of the potential energy of nuclear deformation, defined as the sum of the energies of lowest-lying occupied single-particle levels in a deformed finite potential with a pairing correction, is considered by taking…

Nuclear Theory · Physics 2021-07-20 G. I. Bykhalo , V. N. Orlin , K. A. Stopani

We perform Hartree-Fock+BCS calculations for even-even nuclei with 2 <= Z <= 82 and N ranging from outside the proton drip line to the experimental frontier on the neutron-rich side. The ground state solutions are obtained for 737 nuclei,…

Nuclear Theory · Physics 2009-10-28 N. Tajima , N. Onishi , S. Takahara

A simultaneous calculation for the shape evolution and the related spectroscopic properties of the low-lying states, and the $\beta$-decay properties in the even- and odd-mass Ge and As nuclei in the mass $A\approx70-80$ region, within the…

Nuclear Theory · Physics 2022-04-12 Kosuke Nomura

Nuclear shape transition and oblate-prolate coexistence in $N=Z$ nuclei are investigated within the configuration space ($2p_{3/2}$, $1f_{5/2}$, $2p_{1/2}$, and $1g_{9/2}$). We perform shell model calculations for $^{60}$Zn, $^{64}$Ge, and…

Nuclear Theory · Physics 2009-11-10 K. Kaneko , M. Hasegawa , T. Mizusaki

The shape of the atomic nucleus is a property which underpins our understanding of nuclear systems, impacts the limits of nuclear existence, and enables probes of physics beyond the Standard Model. Nuclei can adopt a variety of shapes,…

We discuss a test of a recently proposed approach to determine average pairing matrix elements within a given interval of single-particle states (sp) around the Fermi level $\lambda$ as obtained in the so-called uniform gap method (UGM). It…

Nuclear Theory · Physics 2024-09-18 T. V. Nhan Hao , N. N. Bao Nguyen , D. Quang Tam , P. Quentin , Meng-Hock Koh , L. Bonneau

We present a review of the pseudo-SU(3) shell model and its application to heavy deformed nuclei. The model have been applied to describe the low energy spectra, B(E2) and B(M1) values. A systematic study of each part of the interaction…

Nuclear Theory · Physics 2015-06-12 Gabriela Popa , Ana Georgieva

Short-range correlated (SRC) nucleon pairs provide a sensitive probe of the short-distance structure of atomic nuclei and the underlying nucleon-nucleon (NN) interaction. We present a simple numerical method to estimate the number of two-…

Nuclear Theory · Physics 2025-12-17 I. Wischnevsky Shlush , A. Denniston , R. Wagner , I. Korover , E. Piasetzky
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