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The nuclei $^4$He, $^8$Be, $^{12}$C and $^{16}$O have been studied starting from nucleon-nucleon interactions of $v_4$ type. The wave function is built as the product of three terms, a Jastrow correlation factor, a linear correlation factor…

Nuclear Theory · Physics 2007-05-23 E Buendia , F J Galvez , J Praena , A Sarsa

We review recent experimental and theoretical progress in understanding the microscopic details of clustering in light nuclei. We discuss recent experimental results on $\alpha$-conjugate systems, molecular structures in neutron-rich…

Nuclear Theory · Physics 2018-08-30 Martin Freer , Hisashi Horiuchi , Yoshiko Kanada-En'yo , Dean Lee , Ulf-G. Meißner

We employ the constrained density functional theory to investigate cluster phenomena for the $^{12}$C nucleus. The proton and neutron densities are generated from the placement of three $^{4}$He nuclei (alpha particles) geometrically. These…

Nuclear Theory · Physics 2023-06-28 A. S. Umar , K. Godbey , C. Simenel

Chiral rotation observed in $^{128}$Cs is studied using the newly developed microscopic triaxial projected shell model (TPSM) approach. The observed energy levels and the electromagnetic transition probabilities of the nearly degenerate…

Nuclear Theory · Physics 2015-06-03 G. H. Bhat , J. A. Sheikh , R. Palit

Relativistic self-consistent mean-field (SCMF) models naturally account for the coupling of the nucleon spin to its orbital motion, whereas non-relativistic SCMF methods necessitate a phenomenological ansatz for the effective spin-orbit…

Nuclear Theory · Physics 2016-08-24 J. -P. Ebran , A. Mutschler , E. Khan , D. Vretenar

We study the two dimensional Hubbard model by use of the ground state algorithm in the Monte Carlo simulation. We employ complex wave functions as trial function in order to have a close look at properties such as chiral spin order…

High Energy Physics - Lattice · Physics 2017-02-01 Masahiro IMACHI , Hiroshi YONEYAMA

Recently, a diffusion Monte Carlo algorithm was applied to the study of spin dependent interactions in condensed matter. Following some of the ideas presented therein, and applied to a Hamiltonian containing a Rashba-like interaction, a…

Strongly Correlated Electrons · Physics 2015-05-27 Alberto Ambrosetti , Pier Luigi Silvestrelli , Flavio Toigo , Lubos Mitas , Francesco Pederiva

We develop generalization of the fixed-phase diffusion Monte Carlo method for Hamiltonians which explicitly depend on particle spins such as for spin-orbit interactions. The method is formulated in zero variance manner and is similar to…

Strongly Correlated Electrons · Physics 2016-04-13 Cody A. Melton , Minyi Zhu , Shi Guo , Alberto Ambrosetti , Francesco Pederiva , Lubos Mitas

The Bloch wave functions have been playing a crucial role in the diagnosis of topological phases in non-interacting systems. However, the Bloch waves are no longer applicable in the presence of finite Coulomb interaction and alternative…

Strongly Correlated Electrons · Physics 2023-01-26 Heqiu Li , Hae-Young Kee , Yong Baek Kim

The role of discrete (or point-group) symmetries in alpha-cluster nuclei is discussed in the framework of the algebraic cluster model which describes the relative motion of the alpha-particles. Particular attention is paid to the discrete…

Nuclear Theory · Physics 2016-06-22 Roelof Bijker

The ab initio no-core shell model (NCSM) is extended to include a realistic three-body interaction in calculations for p-shell nuclei. The NCSM formalism is reviewed and new features needed in calculations with three-body forces are…

Nuclear Theory · Physics 2009-11-10 P. Navratil , W. E. Ormand

Quasi-nuclear systems, representing nuclei with variable size, are studied to investigate the occurrence of the spin-orbit term in the nuclear mean field in the transition from infinite nuclear matter to finite nuclei. Relativistic as well…

Nuclear Theory · Physics 2021-02-10 H. Müther

Isolated electron spins in semiconductor nanostructures are promising qubit candidates for a solid state quantum computer, There have seen truly impressive experimental progresses in the study of single spins in the past two years. In this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Changxue Deng , Xuedong Hu

We derive many-body single- and multi-reference wave functions for quantum Monte Carlo of periodic systems with an anti-symmetric portion that explicitly integrates over the Brillouin zone of one-particle Bloch states. The wave functions…

Strongly Correlated Electrons · Physics 2023-09-28 Lubos Mitas

The tensor optimized Fermi sphere (TOFS) method is applied first for the study of the property of nuclear matter using the Argonne V4' $NN$ potential. In the TOFS method, the correlated nuclear matter wave function is taken to be a…

Nuclear Theory · Physics 2018-08-27 Taiichi Yamada , Takayuki Myo , Hisashi Horiuchi , Kiyomi Ikeda , Hiroshi Toki

The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this…

Nuclear Theory · Physics 2020-04-22 Dong Bai , Zhongzhou Ren

In this article we partially implement the program outlined in the previous paper of the authors [A. V. Aminova and P. I. Chumarov, Phys. Rev. D 88, 044005 (2013)]. The program owes its origins to the following comment in paper [M.…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Asya V. Aminova , Dieter R. Brill , Pavel I. Chumarov , Aleksandr Yu. Shemakhin

The whole entanglement measure so-called geometric $\Pi_4$ average of tangles and bipartite entanglement of the antiferromagnetic spin-1/2 XXX Heisenberg model on a tetranuclear square cluster with cyclic four-spin interaction are…

Statistical Mechanics · Physics 2022-06-07 Hamid Arian Zad , Azam Zoshki , Nerses Ananikian , Michal Jaščur

Recently, Pang et al reported a novel polarization transfer scheme applicable to three-spin systems, whereby a rotating-frame NMR analogue of the cross effect could transfer polarization between; e.g., two 13Cs and an 15N in a single…

Quantum Physics · Physics 2026-04-21 Sundaresan Jayanthi , Adonis Lupulescu , Julia Grinshtein , Lucio Frydman

Alpha($^{4}$He)-cluster models have often been used to describe light nuclei. Towards the application to multi-cluster systems involving heavy clusters, we study the relative wave functions of the $\alpha+^{16}$O and $\alpha+^{40}$Ca…

Nuclear Theory · Physics 2018-08-01 T. Arai , W. Horiuchi , D. Baye