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The two-basis method to solve the HFB for deformed nuclei in coordinate space is examined concerning the precision of the density tail. Small cutoff energies are shown to give rise to ripples in the tail, whose wave length corresponds to…

Nuclear Theory · Physics 2007-05-23 Naoki Tajima

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

We analyse deformation mechanism in neutron-rich Cr, Fe and Ti isotopes with N=32-44 by means of a Skyrme-Hartree-Fock-Bogoliubov mean-field code employing a two-dimensional mesh representation in the cylindrical coordinate system.…

Nuclear Theory · Physics 2008-11-26 Hiroshi Oba , Masayuki Matsuo

We present a new application of the Generator Coordinate Method (GCM) as an electronic structure method for strong electron correlation in molecular systems. We identify spin fluctuations as an important generator coordinate responsible for…

Chemical Physics · Physics 2025-03-18 Amir Ayati , Hugh G. A. Burton , Patrick Bultinck , Stijn De Baerdemacker

We extend multireference covariant density-functional theory (MR-CDFT) based on a relativistic point-coupling energy functional to describe the low-lying states of odd-mass nuclei. The nuclear wave function is constructed as a superposition…

Nuclear Theory · Physics 2024-03-14 E. F. Zhou , X. Y. Wu , J. M. Yao

As part of a program to study odd-A nuclei in the Hartree-Fock-Bogoliubov (HFB) theory, we have developed a new calculational tool to find the HFB minima of odd-A nuclei based on the gradient method and using interactions of Gogny's form.…

Nuclear Theory · Physics 2015-06-11 L. M. Robledo , R. Bernard , G. F. Bertsch

Time-dependent Hartree-Fock approach in three dimensions is employed to study the multi-nucleon transfer reaction $^{132}$Sn + $^{208}$Pb at various incident energies above the Coulomb barrier. Probabilities for different transfer channels…

Nuclear Theory · Physics 2018-11-14 Xiang Jiang , Nan Wang

We apply the dynamical generator coordinate method (DGCM) with a conjugate momentum to a nuclear collective excitation. To this end, we first discuss how to construct a numerically workable scheme of the DGCM for a general one-body…

Nuclear Theory · Physics 2022-06-22 N. Hizawa , K. Hagino , K. Yoshida

We present a computational methodology for a theory of the lowest octupole excitations applicable to all even-even nuclei beyond the lightest. The theory is the well-known generator-coordinate extension (GCM) of the Hartree-Fock-Bogoliubov…

Nuclear Theory · Physics 2015-05-28 L. M. Robledo , G. F. Bertsch

We perform particle-number projected mean-field study using the recently developed symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations. Realistic calculations have been performed in sd- and fp-shell nuclei using the shell model…

Nuclear Theory · Physics 2015-05-20 I. Maqbool , J. A. Sheikh , P. A. Ganai , P. Ring

We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary…

Nuclear Theory · Physics 2009-11-10 R. Roth , T. Neff , H. Hergert , H. Feldmeier

We have recently developed an efficient method of performing the full quantum number projection from the most general mean-field (HFB type) wave functions including the angular momentum, parity as well as the proton and neutron particle…

Nuclear Theory · Physics 2015-06-19 S. Tagami , M. Shimada , Y. Fujioka , Y. R. Shimizu , J. Dudek

We develop a measurement operator formalism to handle quantum nondemolition (QND) measurement induced entanglement generation between two atomic gases. We first derive how the QND entangling scheme reduces to a positive operator-valued…

We develop a perturbative model to treat the off-diagonal components in the Hartree-Fock-Bogoliubov (HFB) transformation matrix, which are neglected in the BCS approximation. Applying the perturbative model to a weakly bound nucleus…

Nuclear Theory · Physics 2009-11-10 K. Hagino , H. Sagawa

We formulate a general and exact method of partial wave decomposition (PWD) of any nucleon-nucleon (NN) potential and any three-nucleon (3N) force. The approach allows one to efficiently use symbolic algebra software to generate the…

We perform the Hartree-Fock-Bogoliubov (HFB) calculations for ground states of even Mg isotopes using the Skyrme force and a density-dependent zero-range pairing force. The HFB equation is solved in a three-dimensional cartesian mesh, and a…

Nuclear Theory · Physics 2009-10-30 J. Terasaki , H. Flocard , P. -H. Heenen , P. Bonche

We study the equation of state for symmetric nuclear matter using a ring-diagram approach in which the particle-particle hole-hole ($pphh$) ring diagrams within a momentum model space of decimation scale $\Lambda$ are summed to all orders.…

Nuclear Theory · Physics 2009-08-03 L. -W. Siu , J. W. Holt , T. T. S. Kuo , G. E. Brown

We present high-precision quantum computing simulations of three-body atoms (He, H$^-$) and molecules (H$_2^+$, HD$^+$), the latter being studied beyond the Born-Oppenheimer approximation. The Non-Iterative Disentangled Unitary Coupled…

Quantum Physics · Physics 2025-10-22 Mohammad Haidar , Hugo D. Nogueira , J. -Ph. Karr

In this paper we model low-lying states of atomic nuclei in the nucleon-pair approximation of the shell model, using three approaches to select collective nucleon pairs: the generalized seniority scheme, the conjugate gradient method, and…

Nuclear Theory · Physics 2021-08-11 G. J. Fu , Calvin W. Johnson

Experimental data indicate that the mass tensor of collective Bohr Hamiltonian cannot be considered as a constant but should be considered as a function of the collective coordinates. In this work our purpose is to investigate the…

Nuclear Theory · Physics 2020-03-17 M. Chabab , A. El Batoul , I. El-ilali , A. Lahbas , M. Oulne