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The low-lying collective states in Sn isotopes are studied by a five-dimensional collective Hamiltonian with parameters determined from the triaxial relativistic mean-field calculations using the PC-PK1 energy density functional. The…

Nuclear Theory · Physics 2015-06-11 Z. P. Li , C. Y. Li , J. Xiang , J. M. Yao , J. Meng

We investigate the effects of the pairing in spherical nuclei. We use the same finite-range interaction of Gogny type in the three steps of our approach, Hartree-Fock, Bardeen, Cooper and Schrieffer, and quasi-particle random phase…

Nuclear Theory · Physics 2017-06-07 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

The need for suitable many or infinite fermion correlation functions to describe some low dimensional strongly correlated systems is discussed. This is linked to the need for a correlated basis, in which the ground state may be postive…

Strongly Correlated Electrons · Physics 2009-10-30 C. W. M. Castleton , M. W. Long

The understanding of clustering aspects at the ground state of nuclei and in fast rotating ones within the framework of covariant density functional theory has been reviewed and reanalyzed. The appearance of many exotic nuclear shapes in…

Nuclear Theory · Physics 2025-01-09 A. V. Afanasjev

Solving quantum impurity problems may advance our understanding of strongly correlated electron physics, but its development in multi-impurity systems has been greatly hindered due to the presence of shared bath. Here, we propose a general…

Strongly Correlated Electrons · Physics 2024-04-16 Jun-Bin Wang , Dongchen Huang , Yi-feng Yang

Background: Deformed neutron-rich magnesium isotopes constitute a fascinating territory where the interplay between collective rotation and single-particle motion is strongly affected by the neutron continuum. The unbound $fp$-shell nucleus…

Nuclear Theory · Physics 2016-11-07 K. Fossez , J. Rotureau , N. Michel , Quan Liu , W. Nazarewicz

We propose a technique to compute the deformation parameter of the generalized uncertainty principle by using the leading quantum corrections to the Newtonian potential. We just assume General Relativity as theory of Gravitation, and the…

High Energy Physics - Theory · Physics 2017-02-17 Fabio Scardigli , Gaetano Lambiase , Elias Vagenas

This article is the second in a series of two papers concerning the mathematical study of a boundary integral equation of the second kind that describes the interaction of $N$ dielectric spherical particles undergoing mutual polarisation.…

Numerical Analysis · Mathematics 2020-08-11 Bérenger Bramas , Muhammad Hassan , Benjamin Stamm

We show that from the point of view of the generalized pairing Hamiltonian, the atomic nucleus is a system with small entanglement and can thus be described efficiently using a 1D tensor network (matrix-product state) despite the presence…

Nuclear Theory · Physics 2024-03-07 Roman Rausch , Cassian Plorin , Matthias Peschke , Christoph Karrasch

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

The present work reports a general method for the calculation of t he polarizability of a truncated sphere on a substrate. A multipole ex pansion is used, where the multipoles are not necessarily localized in the center of the sphere but…

Materials Science · Physics 2010-05-05 Ingve Simonsen , Remi Lazzari , Jacques Jupille , Stephane Roux

We develop an extension of the original Reiss-Frisch-Lebowitz scaled particle theory that can serve as a predictive method for the hard sphere pair correlation function g(r). The reversible cavity creation work is analyzed both for a single…

Statistical Mechanics · Physics 2009-11-11 Frank H. Stillinger , Pablo G. Debenedetti , Swaroop Chatterjee

We present an alternative organizational scheme for developing effective theories of 2- and 3-body systems that is systematic, accurate, and efficient with controlled errors. To illustrate our approach we consider the bound state and…

Nuclear Theory · Physics 2009-09-08 J. R. Shepard , J. A. McNeil

General Defocusing Particle Tracking (GDPT) is a single-camera, three-dimensional particle tracking method that determines the particle depth positions from the defocusing patterns of the corresponding particle images. GDPT relies on a…

Fluid Dynamics · Physics 2020-05-05 Rune Barnkob , Massimiliano Rossi

We introduce a novel \abinitio many-body method designed to compute the properties of nuclei in the continuum. This approach combines well-established techniques, namely the Complex Scaling (CS) and Similarity Renormalization Group (SRG)…

Nuclear Theory · Physics 2025-07-03 Osama Yaghi , Guillaume Hupin , Petr Navrátil

We consider properties of critical points in the interacting boson model, corresponding to flat-bottomed potentials as encountered in a second-order phase transition between spherical and deformed $\gamma$-unstable nuclei. We show that…

Nuclear Theory · Physics 2017-08-23 Joseph N. Ginocchio , A. Leviatan

Background: Computationally tractable models of atomic nuclei is a long-time goal of nuclear structure physics. A flexible framework which easily includes excited states and many-body correlations is the configuration-interaction shell…

Nuclear Theory · Physics 2026-01-15 Y. X. Yu , Y. Lu , G. J. Fu , Calvin W. Johnson , Z. Z. Ren

In this paper, we construct an efficient numerical scheme for full-potential electronic structure calculations of periodic systems. In this scheme, the computational domain is decomposed into a set of atomic spheres and an interstitial…

Numerical Analysis · Mathematics 2024-12-20 Xiaoxu Li , Huajie Chen

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang

We introduce highly accurate and efficient emulators for proton-deuteron scattering below the deuteron breakup threshold. We explore two different reduced-basis method strategies: one based on the Kohn variational principle and another on…

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