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The low-lying spectra of atomic nuclei display diverse behaviors, for example rotational bands, which can be described phenomenologically by simple symmetry groups such as spatial SU(3). This leads to the idea of dynamical symmetry, where…

Nuclear Theory · Physics 2020-04-30 Calvin W. Johnson

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

Coupled-cluster theory is a powerful tool for first-principles calculations of atomic nuclei, enabling accurate predictions of nuclear observables across the Segr\`e chart. While coupled-cluster computations are especially efficient at…

Nuclear Theory · Physics 2026-04-08 F. Marino , F. Bonaiti , P. Demol , S. Bacca , T. Duguet , G. Hagen , G. R. Jansen , T. Papenbrock , A. Tichai

We describe an approximation to the in-medium similarity renormalization group (IMSRG) method in which we include the effects of intermediate three-body operators arising within nested commutators. As an initial step, we present the…

Nuclear Theory · Physics 2025-01-09 B. C. He , S. R. Stroberg

We extend the ab initio coupled-cluster effective interaction (CCEI) method to deformed open-shell nuclei with protons and neutrons in the valence space, and compute binding energies and excited states of isotopes of neon and magnesium. We…

Nuclear Theory · Physics 2016-07-25 G. R. Jansen , M. D. Schuster , A. Signoracci , G. Hagen , P. Navrátil

We present an \textit{ab initio} study of nuclear structure in the island of inversion around neutron number $N=20$, using multishell effective Hamiltonians derived from the valence-space in-medium similarity renormalization group approach…

Nuclear Theory · Physics 2025-11-25 X. C. Cao , C. F. Jiao

I examine the evolution of nuclear forces under the similarity renormalization group (SRG) using traces of the many-body configuration-space Hamiltonian. While SRG is often said to "soften" the nuclear interaction, I provide numerical…

Nuclear Theory · Physics 2017-11-28 Calvin W. Johnson

We extend a nuclear ab initio framework based on chiral two- and three-nucleon interactions to investigate shape coexistence and the degradation of the $N=20$ magic number in both even-even and odd-even magnesium isotopes. The…

Nuclear Theory · Physics 2025-04-15 E. F. Zhou , C. R. Ding , J. M. Yao , B. Bally , H. Hergert , C. F. Jiao , T. R. Rodríguez

We summarize recent efforts to develop an angular-momentum-conserving variant of the Density Matrix Renormalization Group method into a practical truncation strategy for large-scale shell model calculations of atomic nuclei. Following a…

Nuclear Theory · Physics 2011-05-12 S. Pittel , B. Thakur , N. Sandulescu

Functional renormalization group (FRG) methods applied to calculations of isospin-symmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and…

Nuclear Theory · Physics 2017-03-08 Matthias Drews , Wolfram Weise

We review recent developments in the use of renormalization group (RG) methods in low-energy nuclear physics. These advances include enhanced RG technology, particularly for three-nucleon forces, which greatly extends the reach and accuracy…

Nuclear Theory · Physics 2013-11-14 R. J. Furnstahl , K. Hebeler

We compute moments of the isoscalar monopole response of N = Z closed-shell nuclei based on chiral nucleon-nucleon plus three-nucleon interactions. We employ the random phase approximation (RPA) and two ab initio many-body approaches, the…

Nuclear Theory · Physics 2026-03-03 Francesca Bonaiti , Andrea Porro , Sonia Bacca , Achim Schwenk , Alexander Tichai

The convergence of no-core shell model (NCSM) calculations using renormalization group evolved low-momentum two-nucleon interactions is studied for light nuclei up to Li-7. Because no additional transformation was used in applying the NCSM…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , R. J. Furnstahl , P. Maris , R. J. Perry , A. Schwenk , J. P. Vary

We investigate the Ising and Heisenberg models using the Block Renormalization Group Method (BRGM), focusing on its behavior across different system sizes. The BRGM reduces the number of spins by a factor of 1/2 (1/3) for the Ising…

In this work, we propose a quantum unitary downfolding formalism based on the driven similarity renormalization group (QDSRG) that may be combined with quantum algorithms for both noisy and fault-tolerant hardware. The QDSRG is a classical…

Quantum Physics · Physics 2022-08-19 Renke Huang , Chenyang Li , Francesco A. Evangelista

The Anderson impurity model (AIM) has long served as a cornerstone in the study of correlated electron systems. While numerical renormalization group (RG) offers great flexibility for metallic reservoirs, it becomes impossible in an…

Strongly Correlated Electrons · Physics 2025-07-24 Peter Zalom

\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

In this review, we discuss recent applications of the ab initio symmetry-adapted no-core shell-model (SA-NCSM) theory for study and prediction of structure and reactions of stable and unstable nuclei from light to medium mass range. We…

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

We aim to study the properties of nuclei in the south region of $^{208}$Pb systematically, including the binding and excitation energies and electromagnetic properties, in order to predict unknown properties of these nuclei, such as…

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