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We use Faddeev's decomposition to solve the shell-model problem for three nucleons. The dependence on harmonic-oscillator excitations allowed in the model space, up to $32 \hbar\Omega$ in the present calculations, and on the…

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

We show that from analysis of time-ordered diagrams for the two-nucleon $T$-matrix in chiral perturbation theory it follows that low energy nucleon dynamics is governed by the generalized dynamical equation, which was derived in [J.Phys.A.,…

Nuclear Theory · Physics 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

High-precision predictions of nuclear properties are a central objective of ab initio nuclear structure theory. However, state-of-the-art many-body methods rely on truncated model spaces to render the nuclear many-body problem tractable,…

Nuclear Theory · Physics 2026-04-10 Marco Knöll

We present the first ab initio calculations for $p$-shell hypernuclei including hyperon-nucleon-nucleon (YNN) contributions induced by a Similarity Renormalization Group transformation of the initial hyperon-nucleon interaction. The…

Nuclear Theory · Physics 2016-11-01 Roland Wirth , Robert Roth

We perform \textit{ab initio} no-core shell-model calculations for $A=18$ and $19$ nuclei in a $4\hbar\Omega$, or $N_{\rm max}=4$, model space by using the effective JISP16 and chiral N3LO nucleon-nucleon potentials and transform the…

Nuclear Theory · Physics 2015-06-09 E. Dikmen , A. F. Lisetskiy , B. R. Barrett , P. Maris , A. M. Shirokov , J. P. Vary

While chiral perturbation theory for mesons is characterized by a momentum expansion in $Q/\Lambda_\chi$ with $\Lambda_\chi \sim 1$ GeV, existing formulations of effective theory for nucleon-nucleon scattering deviate from data at $Q\sim…

Nuclear Theory · Physics 2026-04-10 Cullen Gantenberg , David B. Kaplan

Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the…

Nuclear Theory · Physics 2009-11-10 Yang Sun , Cheng-Li Wu

Chiral perturbation theory is the effective field theory of the standard model. In this talk, I discuss some applications of this framework to the pion--nucleon system. These are chiral corrections to the S--wave pion--nucleon scattering…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ulf-G. Meißner

Shell-model calculations in a large model space are performed for _{\Lambda}^{16}O and_{\Lambda}^{17}O. Effective interactions with degrees of freedom of \Sigma in addition to \Lambda and nucleons are derived from hyperon-nucleon and…

Nuclear Theory · Physics 2009-11-07 S. Fujii , R. Okamoto , K. Suzuki

A major goal of nuclear theory is to explain the spectra and stability of nuclei in terms of effective many-body interactions amongst the nucleus' constituents-the nucleons, i.e., protons and neutrons. Such an approach, referred to below as…

Nuclear structure and reaction theory are undergoing a major renaissance with advances in many-body methods, strong interactions with greatly improved links to Quantum Chromodynamics (QCD), the advent of high performance computing, and…

Nuclear Theory · Physics 2019-01-30 James P. Vary , Pieter Maris , Patrick J. Fasano , Mark A. Caprio

The description of structural and dynamical properties of nuclei starting from the fundamental interaction between nucleons has been a long-standing goal in nuclear physics. The ab initio No-Core Shell Model combined with the…

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow…

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefan Scherer

A realistic shell-model study is performed for neutron-deficient tin isotopes up to mass A=108. All shell-model ingredients, namely two-body matrix elements, single-particle energies, and effective charges for electric quadrupole transition…

Nuclear Theory · Physics 2015-06-23 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

A state-of-the-art microscopic global nucleon-nucleus optical potential has been developed by Whitehead, Lim, and Holt (WLH) within the framework of many-body perturbation theory, incorporating realistic nuclear interactions derived from…

Nuclear Theory · Physics 2025-11-26 Bing Wang , Dong Bai , Yi Xu

Neutrino-induced reactions on $^{16}$O are investigated by shell-model calculaions with new shell-model Hamiltonians, which can describe well the structure of $p$-shell and $p$-$sd$ shell nuclei. Distribution of the spin-dipole strengths in…

Nuclear Theory · Physics 2018-10-03 Toshio Suzuki , Satoshi Chiba , Takashi Yoshida , Koh Takahashi , Hideyuki Umeda

We develop a reduced model for hard-magnetic, thin, linear-elastic shells that can be actuated through an external magnetic field, with geometrically exact strain measures. Assuming a reduced kinematics based on the Kirchhoff-Love…

Soft Condensed Matter · Physics 2022-06-08 Matteo Pezzulla , Dong Yan , Pedro M. Reis

I describe the use of chiral effective theory (ChiET) to compute electromagnetic reactions in two- and three-nucleon systems. I first explain how chiral perturbation theory can be extended to the few-nucleon sector. I then explain the…

Nuclear Theory · Physics 2008-11-26 Daniel R. Phillips

Various perturbative and non-perturbative many-body techniques are discussed in this work. Especially, we will focus on the summation of so-called Parquet diagrams with emphasis on applications to finite nuclei. Here, the subset of two-body…

Nuclear Theory · Physics 2007-05-23 M. Hjorth-Jensen

The electromagnetic form factors of the nucleon have been calculated in a chiral constituent-quark model. The nucleon wave functions are obtained by solving a Schr\"odinger-type equation for a semi-relativistic Hamiltonian with an effective…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Boffi , P. Demetriou , M. Radici , R. F. Wagenbrunn
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