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The standard relativistic mean-field model is extended by including dynamical effects that arise in the coupling of single-nucleon motion to collective surface vibrations. A phenomenological scheme, based on a linear ansatz for the energy…

Nuclear Theory · Physics 2009-11-07 D. Vretenar , T Niksic , P. Ring

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…

The method of group theory is applied to investigate the ground and the excited states of the triton and helium nuclei by using the translation invariant shell model with basis functions corresponding to even number of quanta of excitations…

Nuclear Theory · Physics 2016-07-19 S. B. Doma , H. S. El-Gendy

The computational cost of ab initio nuclear structure calculations is rendered particularly acute by the presence of (at least) three-nucleon interactions. This feature becomes especially critical now that many-body methods aim at extending…

We present an introduction to ab initio nuclear theory with a focus on nuclear reactions. After a high-level overview of ab initio approaches in nuclear physics, we give a more detailed description of the no-core shell model technique…

Nuclear Theory · Physics 2022-04-06 Petr Navratil , Sofia Quaglioni

The empirical pairing gaps derived from four different odd-even mass staggering formulas are compared. By performing single-$j$ shell and multi-shell seniority model calculations as well as by using the standard HFB approach with Skyrme…

Nuclear Theory · Physics 2015-08-11 S. A. Changizi , Chong Qi , R. Wyss

We propose an importance-truncation scheme for the large-scale nuclear shell model that extends its range of applicability to larger valence spaces and mid-shell nuclei. It is based on a perturbative measure for the importance of individual…

Nuclear Theory · Physics 2016-03-23 Christina Stumpf , Jonas Braun , Robert Roth

We develop a framework that allows to calculate integrated properties of the nuclear response from first principles. Using the ab initio in-medium similarity renormalization group (IMSRG), we calculate the expectation values of moment…

Nuclear Theory · Physics 2025-11-10 Andrea Porro , Achim Schwenk , Alexander Tichai

Quantum stabilization of superheavy elements is quantified in terms of the shell-correction energy. We compute the shell correction using self-consistent nuclear models: the non-relativistic Skyrme-Hartree-Fock approach and the relativistic…

Nuclear Theory · Physics 2009-11-07 M. Bender , W. Nazarewicz , P. -G. Reinhard

I present a proof-of-concept study of nuclear radii and binding energies within NUCLEI-PACK, a novel semi-classical framework based on optimized sphere packing of nucleons and clusters. In this approach, proton and neutron positions are…

Nuclear Theory · Physics 2025-09-18 H. M. Maridi

We explore the preparation of specific nuclear states on gate-based quantum hardware using variational algorithms. Large scale classical diagonalization of the nuclear shell model have reached sizes of $10^9 - 10^{10}$ basis states, but are…

Nuclear Theory · Physics 2022-07-11 I. Stetcu , A. Baroni , J. Carlson

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction is derived from the free nucleon-nucleon potential. The significant progress made in this field…

Nuclear Theory · Physics 2008-12-18 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

We study microscopically the ground state properties of 16O and 40Ca nuclei within correlated basis function theory. A truncated version of the realistic Urbana v14 (U14) potential, without momentum dependent terms, is adopted with state…

Nuclear Theory · Physics 2007-05-23 A. Fabrocini

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

We determine ground-state and saddle-point shapes and masses of even-even superheavy nuclei in the range of proton numbers $98\leq Z \leq 126$ and neutron numbers $134\leq N \leq 192$. Our study is performed within the…

Nuclear Theory · Physics 2012-03-23 M. Kowal , P. Jachimowicz , J. Skalski

The fundamental description of both structural properties and reactions of light nuclei in terms of constituent protons and neutrons interacting through nucleon-nucleon and three-nucleon forces is a long-sought goal of nuclear theory. I…

A systematic numerical investigation of a recently developed nuclear structure approach is presented which diagonalizes the Hamiltonian in the space of the symmetry-projected Hartree-Fock-Bogoliubov (HFB) vacuum and symmetry-projected…

Nuclear Theory · Physics 2008-11-26 E. Bender , K. W. Schmid , Amand Faessler

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

Nuclear Theory · Physics 2019-10-02 Pieter Maris

The advent of nucleon-nucleon potentials derived from chiral perturbation theory, as well as the so-called V-low-k approach to the renormalization of the strong short-range repulsion contained in the potentials, have brought renewed…

Nuclear Theory · Physics 2015-05-27 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

We calculate the ground--state energy and other physical properties of the hydrogen atom inside a spherical box with an impenetrable wall. We apply the variational method and perturbation theory and compare both approximate results. We show…

Quantum Physics · Physics 2015-05-19 Francisco M. Fernández , N. Aquino , A. Flores-Riveros
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