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Firstly, a systematic procedure is derived for obtaining three-dimensional bound-state equations from four-dimensional ones. Unlike ``quasi-potential approaches'' this procedure does not involve the use of delta-function constraints on the…

Nuclear Theory · Physics 2008-11-26 D. R. Phillips , S. J. Wallace

The ground state pairing correlations in finite fermionic systems are described with a high degree of accuracy within a variational approach based on a combined coupled-cluster and particle-number-projected BCS ansatz. The flexibility of…

Nuclear Theory · Physics 2021-06-02 V. V. Baran , J. Dukelsky

A three dimensional attractive Bose-Einstein Condensate (BEC) is expected to collapse, when the number of the particles $N$ in the ground state or the interaction strength $\lambda_0$ exceeds a critical value. We study systems of different…

Quantum Gases · Physics 2010-09-28 Marios C. Tsatsos , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We investigate response to an external magnetic field in the Hamiltonian mean-field model, which is a paradigmatic toy model of a ferromagnetic body and consists of plane rotators like the XY spins. Due to long-range interactions, the…

Statistical Mechanics · Physics 2015-09-16 Yoshiyuki Y. Yamaguchi

A multi-configuration mixing approach built on essentially complex, symmetry-projected Hartree-Fock-Bogoliubov (HFB) mean fields is introduced. The mean fields are obtained by variation after projection. The configuration space consists out…

Nuclear Theory · Physics 2009-10-28 E. Bender , K. W. Schmid , Amand~Faessler

Using the Hubbard Hamiltonian for transition metal-3d and oxygen-2p states with perovskite geometry, we present a dynamical mean field theory which becomes exactin the limit of large coordination numbers or equivalently large spatial…

Condensed Matter · Physics 2009-10-28 P. Lombardo , J. Schmalian , M. Avignon , K. -H. Bennemann

We present a mathematical proof of the algorithm allowing to generate all - symmetric and non-symmetric - total angular momentum eigenstates in remote matter qubits by projective measurements, proposed in Maser et al. [Phys. Rev. A 79,…

Quantum Physics · Physics 2015-01-15 C. Ammon , A. Maser , U. Schilling , T. Bastin , J. von Zanthier

We report the first global study of dynamic correlation energies (DCEs) associated with rotational motion and quadrupole shape vibrational motion in a covariant energy density functional (CEDF) for 575 even-even nuclei with proton numbers…

Nuclear Theory · Physics 2015-02-25 K. Q. Lu , Z. X. Li , Z. P. Li , J. M. Yao , J. Meng

Low-energy structure of even-even $^{108-116}$Cd isotopes is analyzed using a collective model that is based on the nuclear density functional theory. Spectroscopic properties are computed by solving the triaxial quadrupole collective…

Nuclear Theory · Physics 2022-12-19 K. Nomura , K. E. Karakatsanis

The paper is the third of a series dedicated to the ab initio description of monopole giant resonances in mid-mass closed- and open-shell nuclei via the so-called projected generator coordinate method. The present focus is on the…

Nuclear Theory · Physics 2024-04-23 Andrea Porro , Thomas Duguet , Jean-Paul Ebran , Mikael Frosini , Robert Roth , Vittorio Somà

Exact calculations are performed on the two-dimensional strongly interacting, unpolarized, uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of…

Quantum Gases · Physics 2016-03-22 Hao Shi , Simone Chiesa , Shiwei Zhang

Three-dimensional theories with cubic symmetry are studied using the machinery of the numerical conformal bootstrap. Crossing symmetry and unitarity are imposed on a set of mixed correlators, and various aspects of the parameter space are…

High Energy Physics - Theory · Physics 2019-04-03 Stefanos R. Kousvos , Andreas Stergiou

We present the first systematic calculations based on the angular-momentum projection of cranked Slater determinants. We propose the Iy --> I scheme, by which one projects the angular momentum I from the 1D cranked state constrained to the…

Nuclear Theory · Physics 2008-12-18 H. Zdunczuk , W. Satula , J. Dobaczewski , M. Kosmulski

We derive the projection hypothesis in projective quantum measurement by restricting the set of observables. This projection hypothesis accompanies a bipartite system with the von Neumann-type interaction, which consists of a quantum…

Quantum Physics · Physics 2022-01-21 Eiji Konishi

The Complex Angular Momentum (CAM) representation of (scalar) four-point functions has been previously established starting from the general principles of local relativistic Quantum Field Theory (QFT). Here, we carry out the diagonalization…

High Energy Physics - Theory · Physics 2007-05-23 J. Bros , G. A. Viano

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

We present a self-consistent theory for odd nuclei with exact blocking and particle number and angular momentum projection. The demanding treatment of the pairing correlations in a variation-after-projection approach as well as the explicit…

Nuclear Theory · Physics 2017-01-04 Marta Borrajo , J. Luis Egido

We review a large body of predictions obtained within the framework of relativistic meson theory together with the Dirac-Brueckner-Hartree-Fock approach to nuclear matter and finite nuclei. The success of this method has been largely…

Nuclear Theory · Physics 2017-01-12 Herbert Müther , Francesca Sammarruca , Zhongyu Ma

Two applications of mean-field calculations based on 3D coordinate-space techniques are presented. The first concerns the structure of odd-N superheavy elements that have been recently observed experimentally and shows the ability of the…

Nuclear Theory · Physics 2007-05-23 P. -H. Heenen , P. Bonche , S. 'Cwiok , W. Nazarewicz , A. Valor

The conventional cranking model for uniaxial and triaxial rotation (CCRM3) is frequently used to study rotational features in deformed nuclei. However, CCRM3 is semi-classical and phenomenological because it uses a constant angular…

Nuclear Theory · Physics 2023-08-22 Parviz Gulshani , Alaaddine Lahbas