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A new method has been proposed for isolated two-level model to calculate isospin mixing probability in nuclei overcoming common limitations of usual shell model results with isoscalar nuclear Hamiltonian. The method is based on locating the…

Nuclear Theory · Physics 2023-07-11 Sukhendusekhar Sarkar

We extend the QCD Parton Model analysis by employing a factorized nuclear structure model that explicitly accounts for both individual nucleons and correlated nucleon pairs. This novel framework establishes a paradigm that directly links…

High Energy Physics - Phenomenology · Physics 2025-11-20 Fredrick Olness

We study the neutron-rich calcium isotopes performing shell-model calculations with a realistic effective interaction. This is derived from the CD-Bonn nucleon-nucleon potential renormalized by way of the V-low-k approach, considering 48Ca…

Nuclear Theory · Physics 2011-02-18 L. Coraggio , A. Covello , A. Gargano , N. Itaco

Projected Hartree-Fock theory provides an accurate description of many kinds of strong correlations but does not properly describe weakly-correlated systems. On the other hand, single-reference methods such as configuration interaction or…

Strongly Correlated Electrons · Physics 2022-04-06 Ruiheng Song , Thomas M. Henderson , Gustavo E. Scuseria

A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical states, which yield a diagonal representation of the usual…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , J. P. Draayer

The scaled particle theory is developed for the description of thermodynamical properties of a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and chemical potentials are derived. From the…

Soft Condensed Matter · Physics 2017-12-15 M. F. Holovko , M. V. Hvozd

The evolution of the pairing correlations from closed shell to middle shell nuclei is analyzed with a Finite Range Density Dependent interaction in the Sn isotopes. As theoretical approaches we use the Hartree-Fock-Bogoliubov, the…

Nuclear Theory · Physics 2009-11-07 M. Anguiano , J. L. Egido , L. M. Robledo

We present a pedagogical introduction to the In-Medium Similarity Renormalization Group (IM-SRG) framework for ab initio calculations of nuclei. The IM-SRG performs continuous unitary transformations of the nuclear many-body Hamiltonian in…

Nuclear Theory · Physics 2016-12-28 H. Hergert

Finite temperature disordered solid solutions and magnetic materials are difficult to study directly using first principles calculations, due to the large unit cells and many independent samples that are required. In this work, we develop a…

Materials Science · Physics 2019-05-22 Kevin F. Garrity

The tailored coupled cluster (TCC) approach is a promising ansatz that preserves the simplicity of single-reference coupled cluster theory, while incorporating a multi-reference wave function through amplitudes obtained from a preceding…

Chemical Physics · Physics 2021-01-07 Maximilian Mörchen , Leon Freitag , Markus Reiher

A new symplectic-based shell-model approach to clustering in atomic nuclei is proposed by considering the simple system $^{20}$Ne. Its relation to the collective excitations of this system is mentioned as well. The construction of the Pauli…

Nuclear Theory · Physics 2022-12-09 H. G. Ganev

The Coupled-Cluster theory is one of the most successful high precision methods used to solve the stationary Schr\"odinger equation. In this article, we address the mathematical foundation of this theory with focus on the advances made in…

Chemical Physics · Physics 2019-09-04 Andre Laestadius , Fabian M. Faulstich

A method for integrating the chemical equations associated with nuclear combustion at high temperature is presented and extensively checked. Following the idea of E. M\"uller, the feedback between nuclear rates and temperature was taken…

Astrophysics · Physics 2007-05-23 Ruben M. Cabezon Gomez , Domingo Garcia-Senz , Eduardo Bravo

We report accurate quantum Monte Carlo calculations of nuclei up to $A=16$ based on local chiral two- and three-nucleon interactions up to next-to-next-to-leading order. We examine the theoretical uncertainties associated with the chiral…

Nuclear Theory · Physics 2018-03-29 D. Lonardoni , J. Carlson , S. Gandolfi , J. E. Lynn , K. E. Schmidt , A. Schwenk , X. B. Wang

A new linked cluster expansion for the calculation of ground state observables of complex nuclei with realistic interactions has been developed [1-3]; using the V8' potential [4] the ground state energy, density and momentum distribution of…

Nuclear Theory · Physics 2007-05-23 M. Alvioli , C. Ciofi degli Atti , I. Marchino , H. Morita

We extend the QCD Parton Model analysis using a factorized nuclear structure model incorporating individual nucleons and pairs of correlated nucleons. Our analysis of high-energy data from lepton Deep-Inelastic Scattering, Drell-Yan and W/Z…

Starting from a set of different two- and three-nucleon interactions from chiral effective field theory, we use the importance-truncated no-core shell model for ab initio calculations of excitation energies as well as electric quadrupole…

Nuclear Theory · Physics 2016-08-08 Angelo Calci , Robert Roth

We calculate the neutron-Calcium-60 S-wave scattering phase shifts using state of the art coupled-cluster theory combined with modern ab initio interactions derived from chiral effective theory. Effects of three-nucleon forces are included…

Nuclear Theory · Physics 2014-01-13 G. Hagen , P. Hagen , H. -W. Hammer , L. Platter

We review recent advances in the shell model Monte Carlo approach for the microscopic calculation of statistical and collective properties of nuclei. We discuss applications to the calculation of (i) level densities in nickel isotopes,…

Nuclear Theory · Physics 2016-01-05 Y. Alhassid

Three different cluster expansions for the evaluation of correlated one-body properties of s-p and s-d shell nuclei are compared. Harmonic oscillator wave functions and Jastrow type correlations are used, while analytical expressions are…

Nuclear Theory · Physics 2009-11-06 Ch. C. Moustakidis , S. E. Massen , C. P. Panos , M. E. Grypeos , A. N. Antonov