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After a brief review of the theoretical description of nuclei based on nonrelativistic many-body theory and realistic hamiltonians, these lectures focus on its application to the analysis of the electroweak response. Special emphasis is…

Nuclear Theory · Physics 2015-05-13 Omar Benhar

We use a large-scale 6 hbar Omega calculation for Li6 with microscopically derived two-body interaction to construct the 0 hbar Omega 0p-shell effective hamiltonian, electric quadrupole, and magnetic dipole operators. While the E2 and M1 6…

Nuclear Theory · Physics 2008-11-26 P. Navratil , M. Thoresen , B. R. Barrett

We implement an effective operator formalism for general one- and two-body operators, obtaining results consistent with the no-core shell model (NCSM) wave functions. The Argonne V8' nucleon-nucleon potential was used in order to obtain…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , James P. Vary

We evaluate the allowed $\beta^-$-decay properties of nuclei with $Z = 8 - 15$ systematically under the framework of the nuclear shell model with the use of the valence space Hamiltonians derived from modern $ab~intio$ methods, such as…

Nuclear Theory · Physics 2020-03-23 Anil Kumar , Praveen C. Srivastava , Toshio Suzuki

Quantum Monte Carlo methods find fruitful application in large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in a fluctuating one-body field;…

Nuclear Theory · Physics 2008-02-03 S. E. Koonin

This review gives a brief introduction to the chiral effective field theory of nuclear forces and atomic nuclei. We discuss the status of the nuclear Hamiltonian derived in this framework and some recent applications in few-nucleon systems.…

Nuclear Theory · Physics 2015-06-03 Evgeny Epelbaum , Ulf-G. Meißner

We propose a procedure to determine the effective nuclear shell-model Hamiltonian in a truncated space from a self-consistent mean-field model, e.g., the Skyrme model. The parameters of pairing plus quadrupole-quadrupole interaction with…

Nuclear Theory · Physics 2009-09-28 Kazunari Kaneko , Takahiro Mizusaki , Yang Sun , Munetake Hasegawa

We have studied p-shell nuclei using a two-frequency shell-model approach with an effective interaction derived from the Bonn-A nucleon-nucleon potential by means of a G-matrix folded-diagram method. First, we briefly describe our…

Nuclear Theory · Physics 2016-11-23 A. Gargano , L. Coraggio , A. Covello , N. Itaco , T. T. S. Kuo

Here we propose an exact formalism, off-shell effective energy theory (OET), which provides a thermodynamic description of a generic quantum Hamiltonian. The OET is based on a partitioning of the Hamiltonian and a corresponding density…

Strongly Correlated Electrons · Physics 2020-12-01 Zhengqian Cheng , Chris A. Marianetti

We report on a novel ab initio approach for nuclear few- and many-body systems with strangeness. Recently, we developed a relevant no-core shell model technique which we successfully applied in first calculations of lightest $\Lambda$…

Nuclear Theory · Physics 2015-06-18 D. Gazda , J. Mareš , P. Navrátil , R. Roth , R. Wirth

The no-core shell model and the effective interaction $V_{{\rm low} k}$ can both be derived using the Lee-Suzuki projection operator formalism. The main difference between the two is the choice of basis states that define the model space.…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

Neutrinoless double beta decay can significantly help to shed light on the issue of non-zero neutrino mass, as observation of this lepton number violating process would imply neutrinos are Majorana particles. However, the underlying…

High Energy Physics - Phenomenology · Physics 2018-12-05 Lukas Graf , Frank F. Deppisch , Francesco Iachello , Jenni Kotila

Techniques from effective field theory are applied to nuclear rotation. This approach exploits the spontaneous breaking of rotational symmetry and the separation of scale between low-energy Nambu-Goldstone rotational modes and high-energy…

Nuclear Theory · Physics 2011-07-15 T. Papenbrock

The shell model is the standard tool for addressing the canonical nuclear many-body problem of nonrelativistic nucleons interacting through a static potential. We discuss several of the uncontrolled approximations that are made in this…

Nuclear Theory · Physics 2007-05-23 W. C. Haxton , C. -L. Song

Precision measurements of $\beta$-decay observables offer the possibility to search for deviations from the Standard Model. A possible discovery of such deviations requires accompanying first-principles calculations. Here we compute the…

Due to advances in computer hardware and new algorithms, it is now possible to perform highly accurate many-body simulations of realistic materials with all their intrinsic complications. The success of these simulations leaves us with a…

Strongly Correlated Electrons · Physics 2018-05-14 Huihuo Zheng , Hitesh J. Changlani , Kiel T. Williams , Brian Busemeyer , Lucas K. Wagner

We have studied neutron-rich carbon isotopes in terms of the shell model employing a realistic effective hamiltonian derived from the chiral N3LOW nucleon-nucleon potential. The single-particle energies and effective two-body interaction…

Nuclear Theory · Physics 2014-11-21 L. Coraggio , A. Covello , A. Gargano , N. Itaco

This paper presents a short overview of the shell-model approach with realistic effective interactions to the study of exotic nuclei. We first give a sketch of the current state of the art of the theoretical framework of this approach,…

Nuclear Theory · Physics 2015-06-19 A. Gargano , L. Coraggio , A. Covello , N. Itaco

We present a study of the role played by realistic three-body forces in providing a reliable monopole component of the effective shell-model Hamiltonian. To this end, starting from a nuclear potential built up within the chiral perturbation…

Nuclear Theory · Physics 2019-10-02 Y. Z. Ma , L. Coraggio , L. De Angelis , T. Fukui , A. Gargano , N. Itaco , F. R. Xu

We discuss the possibilities of distinguishing among different mechanisms of neutrinoless double beta decay arising in the effective field theory framework. Following the review and detailed investigation of the particular ways of…

High Energy Physics - Phenomenology · Physics 2022-08-31 Lukáš Gráf , Manfred Lindner , Oliver Scholer
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