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We develop an alternative time-dependent numerical renormalization group (TDNRG) formalism for multiple quenches and implement it to study the response of a quantum impurity system to a general pulse. Within this approach, we reduce the…

Strongly Correlated Electrons · Physics 2018-10-25 H. T. M. Nghiem , T. A. Costi

We study ground-state energies and charge radii of closed-shell medium-mass nuclei based on novel chiral nucleon-nucleon (NN) and three-nucleon (3N) interactions, with a focus on exploring the connections between finite nuclei and nuclear…

Nuclear Theory · Physics 2019-08-14 J. Hoppe , C. Drischler , K. Hebeler , A. Schwenk , J. Simonis

We present the first ab initio coupled-cluster calculations of medium-mass nuclei with explicit chiral three-nucleon (3N) interactions. Using a spherical formulation of coupled cluster with singles and doubles excitations including explicit…

Nuclear Theory · Physics 2013-09-05 Sven Binder , Joachim Langhammer , Angelo Calci , Petr Navrátil , Robert Roth

Numerical approaches are an important tool to study strongly correlated quantum systems. However, their fragility with respect to rounding errors is not well studied and numerically verified enclosures of the results are not available. In…

Strongly Correlated Electrons · Physics 2019-02-20 Peter Schmitteckert

Atomic radii and charges are two major parameters used in implicit solvent electrostatics and energy calculations. The optimization problem for charges and radii is under-determined, leading to uncertainty in the values of these parameters…

Biomolecules · Quantitative Biology 2017-12-25 Xiu Yang , Huan Lei , Peiyuan Gao , Dennis G. Thomas , David Mobley , Nathan A. Baker

Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their scale-dependent nature. The functional…

Strongly Correlated Electrons · Physics 2022-06-09 Dominik Kiese , Tobias Mueller , Yasir Iqbal , Ronny Thomale , Simon Trebst

Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interaction-induced correlations by unitary transformations. We…

Nuclear Theory · Physics 2010-06-08 Robert Roth , Thomas Neff , Hans Feldmeier

We propose new effective inter-nucleon forces with a finite-range three-body operator. The proposed forces are suitable for describing the nuclear structure properties over a wide mass number region, including the saturation point of…

Nuclear Theory · Physics 2009-11-10 Y. Kanada-En'yo , Y. Akaishi

We present a numerical implementation of the renormalization group (RG) for partial differential equations, constructing similarity solutions and travelling waves. We show that for a large class of well-localized initial conditions,…

chao-dyn · Physics 2009-10-22 Lin-Yuan Chen , Nigel Goldenfeld

We explore the impact of nuclear matter saturation on the properties and systematics of finite nuclei across the nuclear chart. Using the ab initio in-medium similarity renormalization group (IM-SRG), we study ground-state energies and…

Nuclear Theory · Physics 2017-07-12 J. Simonis , S. R. Stroberg , K. Hebeler , J. D. Holt , A. Schwenk

Real Space Renormalization Group (RSRG) treatment of Ising model for square and simple cubic lattice is investigated and critical coupling strengths of these lattices are obtained. The mathematical complications, which appear inevitable in…

Statistical Mechanics · Physics 2018-09-26 Tuncer Kaya

The physical properties of a quantum many-body system can, in principle, be determined by diagonalizing the respective Hamiltonian, but the dimensions of its matrix representation scale exponentially with the number of degrees of freedom.…

Strongly Correlated Electrons · Physics 2023-09-13 G. Catarina , Bruno Murta

Measurements of the difference between the squared charge radii of the helion ($^3$He nucleus) and the $\alpha$-particle ($^4$He nucleus) have been characterized by longstanding tensions, recently spotlighted in the 3.6 $\sigma$ discrepancy…

Nuclear Theory · Physics 2025-08-05 Simone Salvatore Li Muli , Thomas R. Richardson , Sonia Bacca

The heaviest particle-bound carbon isotope, $^{22}$C, is thought to have a Borromean three-body structure. We discuss and compare four-body, i.e. three-body projectile plus target, reaction model calculations of reaction cross sections for…

Nuclear Theory · Physics 2015-06-18 Y. Kucuk , J. A. Tostevin

Nucleon momentum distributions calculated with a common one-body operator vary with the resolution scale (and scheme) of the Hamiltonian used. For high-resolution potentials such as Argonne $v_{18}$ (AV18) there is a high-momentum tail,…

Nuclear Theory · Physics 2024-04-12 A. J. Tropiano , S. K. Bogner , R. J. Furnstahl , M. A. Hisham , A. Lovato , R. B. Wiringa

The differences of the masses of nuclear isotopes with atomic numbers between \~10 and ~30 can be described within the chiral soliton approach in satisfactory agreement with data. Rescaling of the model is necessary for this purpose -…

Nuclear Theory · Physics 2015-06-26 V. B. Kopeliovich , A. M. Shunderuk , G. K. Matushko

Ab-initio predictions of nuclei with masses up to A~100 or more is becoming possible thanks to novel advances in computations and in the formalism of many-body physics. Some of the most fundamental issues include how to deal with…

Nuclear Theory · Physics 2014-08-20 C. Barbieri

The semi-empirical macroscopic-microscopic mass formula is further improved by considering some residual corrections. The rms deviation from 2149 known nuclear masses is significantly reduced to 336 keV, even lower than that achieved with…

Nuclear Theory · Physics 2011-08-02 Min Liu , Ning Wang , Yangge Deng , Xizhen Wu

Based on the contractor renormalization group (CORE) method and the density matrix renormalization group (DMRG) method, a new computational scheme, which is called the block density matrix renormalization group with effective interactions…

Strongly Correlated Electrons · Physics 2009-11-18 Haibo Ma , Chungen Liu , Yuansheng Jiang