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In order to approach the pion--multinucleon problem, we have found it convenient to reformulate the general N--body theory starting from the fully unclusterized (i.e., N <- N) amplitude. If we rewrite such an amplitude in terms of new…

Nuclear Theory · Physics 2009-10-28 G. Cattapan , L. Canton

The quantum many-body bound-state problem in its computationally successful coupled cluster method (CCM) representation is reconsidered. In conventional practice one factorizes the ground-state wave functions $|\Psi\rangle= e^S…

Quantum Physics · Physics 2014-05-02 Raymond F. Bishop , Miloslav Znojil

We extend the No-Core Shell Model (NCSM) methodology to incorporate strangeness degrees of freedom and apply it to single-$\Lambda$ hypernuclei. After discussing the transformation of the hyperon-nucleon (YN) interaction into…

Nuclear Theory · Physics 2018-06-29 Roland Wirth , Daniel Gazda , Petr Navrátil , Robert Roth

Starting from realistic nuclear forces, the chiral N$^3$LO and JISP16, we have applied many-body perturbation theory (MBPT) to the structure of closed-shell nuclei, $^4$He and $^{16}$O. The two-body N$^3$LO interaction is softened by a…

Nuclear Theory · Physics 2019-11-07 Baishan Hu , Furong Xu , Zhonghao Sun , James P. Vary , Tong Li

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 M. Rontani , G. Eriksson , S. Åberg , S. M. Reimann

Fully-microscopic No-core Shell Model (NCSM) calculations of all stable $s$ and $p$ shell nuclei are used to determine realistic $NN$ interaction JISP16 describing not only the two-nucleon data but the binding energies and spectra of nuclei…

Nuclear Theory · Physics 2015-06-26 A. M. Shirokov , J. P. Vary , A. I. Mazur , T. A. Weber

Nuclei are prototypes of many-body open quantum systems. Complex aggregates of protons and neutrons that interact through forces arising from quantum chromo-dynamics, nuclei exhibit both bound and unbound states, which can be strongly…

Nuclear Theory · Physics 2015-06-04 S. Quaglioni , P. Navratil , R. Roth , W. Horiuchi

Through ab initio approaches in nuclear theory, we may now seek to quantitatively understand the wealth of nuclear collective phenomena starting from the underlying internucleon interactions. No-core configuration interaction (NCCI)…

Nuclear Theory · Physics 2015-11-09 M. A. Caprio , P. Maris , J. P. Vary , R. Smith

Neutral uranium (U I) is a very difficult atom for theoretical calculations due to a large number of valence electrons, six, strong valence-valence and valence-core correlations, high density of states, and relativistic effects.…

Atomic Physics · Physics 2020-10-14 Igor M. Savukov

The application of renormalization group methods to microscopic nuclear many-body calculations is discussed. We present the solution of the renormalization group equations in the particle-hole channels for neutron matter and the application…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , B. Friman , G. E. Brown

The tensor properties of all the generators of Sp(12,R) - the group of dynamical symmetry of the Interacting Vector Boson Model (IVBM), are given with respect to the reduction chain Sp(12,R) $\supset $ U(6) $\supset $ U(3) x U(2) $\supset $…

Nuclear Theory · Physics 2007-05-23 H. G. Ganev , A. I. Georgieva , V. P. Garistov

One-neutron halo nuclei, composed by a weakly-bound particle coupled to a core nucleus, are studied within a particle-plus-core model. A semi-microscopic method to generate the two-body Hamiltonian of such a system, including core…

Nuclear Theory · Physics 2014-02-20 J. A. Lay , A. M. Moro , J. M. Arias , Y. Kanada-En'yo

The extension of ab initio quantum many-body theory to higher accuracy and larger systems is intrinsically limited by the handling of large data objects in form of wave-function expansions and/or many-body operators. In this work we present…

Nuclear Theory · Physics 2021-09-27 A. Tichai , P. Arthuis , K. Hebeler , M. Heinz , J. Hoppe , A. Schwenk

Addressing both dynamic and static correlation accurately is a primary goal in electronic structure theory. Non-orthogonal configuration interaction (NOCI) is a versatile tool for treating static correlation, offering chemical insights by…

Chemical Physics · Physics 2025-06-27 Chong Sun , Fei Gao , Gustavo E. Scuseria

Over time, many different theories and approaches have been developed to tackle the many-body problem in quantum chemistry, condensed-matter physics, and nuclear physics. Here we use the helium atom, a real system rather than a model, and…

Atomic Physics · Physics 2019-04-03 Jing Li , N. D. Drummond , Peter Schuck , Valerio Olevano

The Lipkin-Meshkov-Glick is a simple, but not trivial, model of a quantum many-body system which allows us to solve the many-body Schr\"odinger equation without making any approximation. The model, which in its unperturbed case is composed…

Nuclear Theory · Physics 2018-06-01 Giampaolo Co' , Stefano De Leo

The fundamental description of both structural properties and reactions of light nuclei in terms of constituent protons and neutrons interacting through nucleon-nucleon and three-nucleon forces is a long-sought goal of nuclear theory. I…

The first practical method to evolve many-body nuclear forces to softened form using the Similarity Renormalization Group (SRG) in a harmonic oscillator basis is demonstrated. When applied to He4 calculations, the two- and three-body…

Nuclear Theory · Physics 2009-09-02 E. D. Jurgenson , P. Navratil , R. J. Furnstahl

Microscopic nuclear structure calculations have been performed within the framework of the unitary-model-operator approach. Ground-state and single-particle energies are calculated for nuclei around ^{14}C, ^{16}O and ^{40}Ca with modern…

Nuclear Theory · Physics 2009-11-11 S. Fujii , R. Okamoto , K. Suzuki

The recently introduced coupled cluster (CC) downfolding techniques for reducing the dimensionality of quantum many-body problems recast the CC formalism in the form of the renormalization procedure allowing, for the construction of…

Quantum Physics · Physics 2021-11-08 Nicholas P. Bauman , Karol Kowalski