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The application of the exact renormalisation group to symmetric as well as asymmetric many-fermion systems with a short-range attractive force is studied. Assuming an ansatz for the effective action with effective bosons, describing pairing…

High Energy Physics - Phenomenology · Physics 2008-11-26 Boris Krippa

We establish the exact renormalization group equation for the potential of a one quantum particle system at finite and zero temperature. As an example we use it to compute the ground state energy of the anharmonic oscillator. We comment on…

Quantum Physics · Physics 2009-11-06 P. Gosselin , B. Grosdidier , H. Mohrbach

The rapid development of ab initio nuclear structure methods towards doubly open-shell nuclei, heavy nuclei and greater accuracy occurs at the price of evermore increased computational costs, especially RAM and CPU time. While most of the…

Nuclear Theory · Physics 2026-01-19 Alberto Scalesi , Thomas Duguet , Mikael Frosini , Vittorio Somà

The Similarity Renormalization Group reduces the off-shellness by driving the evolved interaction towards a diagonal band. We analyze the infrared limit and the corresponding on-shell interactions and its consequences for light nuclei.…

Nuclear Theory · Physics 2015-06-17 E. Ruiz Arriola , S. Szpigel , V. S. Timoteo

A complete characterization of the structure of nuclei can be obtained by combining information arising from inelastic scattering, Coulomb excitation and $\gamma-$decay, together with one- and two-particle transfer reactions. In this way it…

Nuclear Theory · Physics 2015-09-23 A. Idini , G. Potel , F. Barranco , E. Vigezzi , R. A. Broglia

We present a systematic ab initio study of clustering in hot dilute nuclear matter using nuclear lattice effective field theory with an SU(4)-symmetric interaction. We introduce a method called light-cluster distillation to determine the…

Nuclear Theory · Physics 2023-05-25 Zhengxue Ren , Serdar Elhatisari , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

A means to take advantage of molecular similarity to lower the computational cost of electronic structure theory is explored, in which parameters are embedded into a low-cost, low-level (LL) ab initio model and adjusted to obtain agreement…

Chemical Physics · Physics 2015-03-27 Matteus Tanha , Haichen Li , Shiva Kaul , Alexander Cappiello , Geoffrey J. Gordon , David J. Yaron

The open-shell reference relativistic equation-of-motion coupled-cluster method within its four-component description is successfully implemented with the consideration of single- and double- excitation approximation. The one-body and…

Atomic Physics · Physics 2016-09-21 Himadri Pathak , Sudip Sasmal , Malaya K. Nayak , Nayana Vaval , Sourav Pal

An approach for explicit consideration of cluster effects in nuclear systems and accurate ab initio calculations of cluster characteristics of nuclei is devised. The essential block of the approach is a construction of a basis which…

Nuclear Theory · Physics 2018-12-26 D. M. Rodkin , Yu. M. Tchuvil'sky

The structure and reactions of light nuclei represent fundamental and formidable challenges for microscopic theory based on realistic strong interaction potentials. Several {\it ab initio} methods have now emerged that provide nearly exact…

Nuclear Theory · Physics 2015-05-13 James P. Vary , Pieter Maris , Esmond Ng , Chao Yang , Masha Sosonkina

We have obtained accurate ab initio quartet potentials for the diatomic metastable triplet helium + alkali-metal (Li, Na, K, Rb) systems, using all-electron restricted open-shell coupled cluster singles and doubles with noniterative triples…

Quantum Gases · Physics 2015-08-24 Dariusz Kȩdziera , Łukasz Mentel , Piotr S. Żuchowski , Steven Knoop

A new convenient method for precise theoretical calculations of quantities of traditional theory of nuclear reactions such as widths of resonances (including sub-threshold), and asymptotic normalization coefficients is proposed. This method…

Nuclear Theory · Physics 2021-02-10 D. M. Rodkin , Yu. M. Tchuvil'sky

We propose a variational calculation scheme utilizing the superposition of the angular-momentum, parity, number projected quasiparticle vacua, that is especially suitable for applying to medium-heavy nuclei in shell-model calculations. We…

Nuclear Theory · Physics 2021-01-27 Noritaka Shimizu , Yusuke Tsunoda , Yutaka Utsuno , Takaharu Otsuka

The exact treatment of nuclei starting from the constituent nucleons and the fundamental interactions among them has been a long-standing goal in nuclear physics. Above all nuclear scattering and reactions, which require the solution of the…

Nuclear Theory · Physics 2015-05-18 Sofia Quaglioni , Petr Navrátil , Robert Roth

We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear many-body problem. These methods use continuous unitary transformations to…

Nuclear Theory · Physics 2017-06-28 H. Hergert , S. K. Bogner , J. G. Lietz , T. D. Morris , S. J. Novario , N. M. Parzuchowski , F. Yuan

This paper presents a renormalization approach to many-particle systems. By starting from a bare Hamiltonian ${\cal H}= {\cal H}_0 +{\cal H}_1$ with an unperturbed part ${\cal H}_0$ and a perturbation ${\cal H}_1$,we define an effective…

Strongly Correlated Electrons · Physics 2009-11-07 K. W. Becker , A. Huebsch , T. Sommer

\textbf{Background} The reach of \textit{ab initio} theory has greatly increased in recent decades. However, predicting the location of the drip lines remains challenging due to uncertainties in nuclear forces and difficulties in describing…

Nuclear Theory · Physics 2026-01-23 A. Sehovic , K. Fossez , H. Hergert

We apply high-order many-body perturbation theory for the calculation of ground-state energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive formulation, we compute the perturbative energy…

Nuclear Theory · Physics 2010-02-03 Robert Roth , Joachim Langhammer

Bogoliubov many-body perturbation theory (BMBPT) relying on the breaking of U(1) global gauge symmetry has been recently formulated and applied to extend the applicability of standard perturbation theory to ab initio calculations of atomic…

Nuclear Theory · Physics 2025-02-27 Pepijn Demol , Thomas Duguet , Alexander Tichai

We present an \textit{ab initio} auxiliary field quantum Monte Carlo method for studying the electronic structure of molecules, solids, and model Hamiltonians at finite temperature. The algorithm marries the \textit{ab initio} phaseless…

Strongly Correlated Electrons · Physics 2018-11-13 Yuan Liu , Minsik Cho , Brenda Rubenstein