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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

Quantum phase estimation (QPE) is a central algorithmic primitive that estimates eigenvalues of a Hamiltonian up to precision $\epsilon$ in Heisenberg-limited time $T=\Theta(1/\epsilon)$. Standard gate-based implementations of QPE require…

Quantum Physics · Physics 2026-05-22 Alexander Schmidhuber , Seth Lloyd

We solve the Hartree-Fock-Bogoliubov (HFB) equations for deformed, axially symmetric even-even nuclei in coordinate space on a 2-D lattice utilizing the Basis-Spline expansion method. Results are presented for the neutron-rich zirconium…

Nuclear Theory · Physics 2009-11-11 A. Blazkiewicz , V. E. Oberacker , A. S. Umar , M. Stoitsov

Spectroscopic properties that characterize the shape phase transitions in krypton isotopes with the mass $A\approx80$ region are investigated within the framework of the nuclear density functional theory. Triaxial quadrupole constrained…

Nuclear Theory · Physics 2022-07-01 K. E. Karakatsanis , K. Nomura

An overview of a microscopic framework based on the Hartree-Fock description of the mean field is presented which, starting from an effective interaction allows a description of collective motions. A study of the isotope shifts in the Pb…

The quasiparticle finite amplitude method (QFAM) is extended to describe charge-exchange transitions based on the relativistic Hartree-Bogoliubov model, adopting the point-coupling energy density functional DD-PC1 and a finite-range…

Nuclear Theory · Physics 2026-01-01 Chen Chen , Zhengzheng Li , Yinu Zhang , Yifei Niu

A numerical method to integrate the time-dependent Hartree-Fock Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and…

Nuclear Theory · Physics 2015-06-04 Yukio Hashimoto

The cranked Hartree-Fock-Bogoliubov method presented in previous studies of superdeformed bands in Hg and Pb isotopes is applied to the study of superdeformed bands in Gd150, Dy152, Dy151 and Tb151. The same density-dependent zero-range…

Nuclear Theory · Physics 2009-10-28 P. Bonche , H. Flocard , P. -H. Heenen

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

Motivation : Several theoretical comparisons with experimental data have recently pointed out that the mass tensor of the collective Bohr Hamiltonian cannot be considered as a constant and should be taken as a function of the collective…

Nuclear Theory · Physics 2018-03-14 P. Buganu , M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

Given a set of collective variables, a method is proposed to obtain the associated conjugated collective momenta and masses starting from a microscopic time-dependent mean-field theory. The construction of pairs of conjugated variables is…

Nuclear Theory · Physics 2015-09-09 Yusuke Tanimura , Denis Lacroix , Guillaume Scamps

Large-scale QRPA calculations of the E1 strength are performed on top of HFB calculations in order to derive the radiative neutron capture cross sections for the whole nuclear chart. The spreading width of the GDR is taken into account by…

Nuclear Theory · Physics 2009-11-10 S. Goriely , E. Khan , M. Samyn

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

Based on the Hartree-Fock-Bogoliubov solutions in large deformed coordinate spaces, the finite amplitude method for quasiparticle random phase approximation (FAM-QRPA) has been implemented, providing a suitable approach to probe collective…

Nuclear Theory · Physics 2015-06-23 J. C. Pei , M. Kortelainen , Y. N. Zhang , F. R. Xu

The collective dynamics of low energy fission in 238U is described within a time-dependent formalism based on the Gaussian Overlap Approximation of the time-dependent Generator Coordinate Method. The intrinsic deformed configurations of the…

Nuclear Theory · Physics 2011-07-19 H. Goutte , J. F. Berger , P. Casoli , D. Gogny

We describe a general methodology for enhancing the efficiency of adiabatic quantum computations (AQC). It consists of homotopically deforming the original "Hamiltonian surface" in a way that the redistribution of the Gaussian curvature…

Quantum Physics · Physics 2019-03-06 Raouf Dridi , Hedayat Alghassi , Sridhar Tayur

We present a formulation of the Hartree-Fock-Bogoliubov (HFB) equations which solves the problem directly in the basis of natural orbitals. This provides a very efficient scheme which is particularly suited for large scale calculations on…

Nuclear Theory · Physics 2009-10-30 P. -G. Reinhard , M. Bender , K. Rutz , J. A. Maruhn

The generalized Bohr Hamiltonian was used to describe the low-lying collective excitations in even-even isotopes of Ru, Pd, Te, Ba and Nd. The Strutinsky collective potential and cranking inertial functions were obtained using the Nilsson…

Nuclear Theory · Physics 2009-11-06 K. Pomorski , L. Prochniak , K. Zajac , S. G. Rohozinski , J. Srebrny

In this work, we present a new version of the Bohr collective Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the Hulth\'en potential. We shall call the developed model Z(5)-HD. Analytical expressions…

Nuclear Theory · Physics 2020-08-05 A. Adahchour , S. Ait El Korchi , A. El Batoul , A. Lahbas , M. Oulne

We present the finite amplitude method (FAM) for superfluid systems. A Hartree-Fock-Bogoliubov code may be transformed into a code of the quasi-particle-random-phase approximation (QRPA) with simple modifications. This technique has…

Nuclear Theory · Physics 2011-08-08 Paolo Avogadro , Takashi Nakatsukasa