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A simple two-level model is developed and used to test the properties of effective interactions for performing nuclear structure calculations in truncated model spaces. It is shown that the effective many-body interactions sensitively…

Nuclear Theory · Physics 2009-10-22 B. R. Barrett , D. C. Zheng , R. J. McCarthy , J. P. Vary

Calculations of nuclear masses, using nuclear density functional theory, are presented for even-even nuclei spanning the nuclear chart. The resulting binding energy differences can be interpreted in terms of valence proton-neutron…

Nuclear Theory · Physics 2008-11-26 M. Stoitsov , R. B. Cakirli , R. F. Casten , W. Nazarewicz , W. Satula

Optical potentials are a standard tool in the study of nuclear reactions, as they describe the interaction between a target nucleus and a projectile. The use of phenomenological optical potentials built using experimental data on stable…

Nuclear Theory · Physics 2025-11-18 G. H. Sargsyan , G. Potel , K. Kravvaris , J. E. Escher

Large-scale shell model calculations were performed for neutron-rich even-even $^{132-136}$Te using a realistic effective interaction derived from CD-Bonn nucleon-nucleon potential for the positive and negative parity states. The calculated…

Nuclear Theory · Physics 2007-05-23 F. A. Majeed

We propose a novel storage scheme for three-nucleon (3N) interaction matrix elements relevant for the normal-ordered two-body approximation used extensively in ab initio calculations of atomic nuclei. This scheme reduces the required memory…

Nuclear Theory · Physics 2022-01-04 T. Miyagi , S. R. Stroberg , P. Navrátil , K. Hebeler , J. D. Holt

Non-relativistic effective field theory (NREFT) is one approach used for describing the interaction of WIMPs with ordinary matter. Among other factors, these interactions are expected to be affected by the structure of the atomic nuclei in…

High Energy Physics - Phenomenology · Physics 2023-08-15 Raghda Abdel Khaleq , Cedric Simenel , Andrew E. Stuchbery

We closely investigate NN potentials based upon the Delta-full version of chiral effective field theory. We find that recently constructed NN potentials of this kind, which (when applied together with three-nucleon forces) were presented as…

Nuclear Theory · Physics 2021-11-24 Y. Nosyk , D. R. Entem , R. Machleidt

In this article, we analyze some nuclear structure aspects of the neutrinoless double beta decay nuclear matrix elements (NME), in the framework of the Interacting Shell Model. We give results for the decays of 48Ca, 76Ge, 82Se, 124Sn,…

Nuclear Theory · Physics 2008-11-26 E. Caurier , F. Nowacki , A. Poves

Magic numbers are predicted in wide range of the nuclear chart by the self-consistent mean-field calculations with the M3Y-P6 and P7 semi-realistic $NN$ interactions. The magic numbers are identified by vanishing pair correlations in the…

Nuclear Theory · Physics 2014-05-07 H. Nakada , K. Sugiura

The ground-state energy of the doubly magic nuclei 4He and 16O has been calculated within the framework of the Goldstone expansion starting from modern nucleon-nucleon potentials. A low-momentum potential V-low-k has been derived from the…

Nuclear Theory · Physics 2017-08-23 L. Coraggio , A. Covello , A. Gargano , N. Itaco

The nucleon structure and the nuclear force are investigated in the context of the non-perturbative path-integral method of hadronization. Starting from a microscopic quark-diquark model, the nucleon is generated as a relativistic bound…

Nuclear Theory · Physics 2009-11-07 L. J. Abu-Raddad

We propose a method for microscopic calculations of nuclear ground-state properties in the framework of density functional theory. We discuss how the density functional is equivalent to the effective action for the density, thereby…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , J. Polonyi

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 use properties of doubly-magic nuclei and ab-initio calculations of low-density neutron matter to constrain Skyrme equations of state for neutron-rich conditions. All of these properties are consistent with a Skyrme functional form and a…

Nuclear Theory · Physics 2014-11-26 B. Alex Brown , A. Schwenk

We systematically investigate the relation between the nuclear structure and reaction in the $^{10}$Be nucleus using a theoretical framework. The structure of the $^{10}$Be nucleus is constructed with a cluster model based on a microscopic…

Nuclear Theory · Physics 2023-06-28 T. Furumoto , T. Suhara , N. Itagaki

Total photonuclear absorption cross sections of $^3$H and $^3$He are studied using realistic NN and NNN forces. Final state interactions are fully included. Two NN potential models, the AV14 and the r-space Bonn-A potentials, are…

Nuclear Theory · Physics 2009-10-31 Victor D. Efros , Winfried Leidemann , Giuseppina Orlandini , Edward L. Tomusiak

An accurate description of nuclear matter starting from free-space nuclear forces has been an elusive goal. The complexity of the system makes approximations inevitable, so the challenge is to find a consistent truncation scheme with…

Nuclear Theory · Physics 2009-10-31 R. J. Furnstahl , James V. Steele , Negussie Tirfessa

We review the nuclear forces currently in use, i.e., the high-precision NN potentials of the 1990's and the nuclear two- and many-body forces based upon chiral effective field theory (EFT). We argue that the EFT approach is superior to any…

Nuclear Theory · Physics 2009-11-11 R. Machleidt , D. R. Entem

Nuclear effective interactions are useful tools in astrophysical applications especially if one can guide the extrapolations to the extremes regions of isospin and density that are required to simulate dense, neutron-rich systems. Isospin…

Nuclear Theory · Physics 2010-12-02 F. J. Fattoyev , C. J. Horowitz , J. Piekarewicz , G. Shen

Eighty years after its experimental discovery, a microscopic description of induced nuclear fission based solely on the interactions between neutrons and protons and quantum many-body methods still poses formidable challenges. The goal of…

Nuclear Theory · Physics 2015-06-17 N. Schunck , D. Duke , H. Carr , A. Knoll