Tensor correlations in the unitary correlation operator method

Neff, Thomas; Feldmeier, H.

doi:10.1016/s0375-9474(02)01307-6

Cited by 191 publications

(379 citation statements)

References 33 publications

Supporting

Mentioning

375

Contrasting

Unclassified

Order By: Relevance

“…The most convenient procedure to determine the correlation functions is based on an energy minimization in the two-body system [27,23]. For each combination of spin S and isospin T we compute the expectation value of the correlated energy using a trial state with the lowest possible orbital angular momentum L. The uncorrelated radial wave function should not contain any of the short-range correlations, i.e., it should resemble the short-range behavior of a non-interacting system.…”

Section: Optimal Correlation Functionsmentioning

confidence: 99%

Nuclear structure in the framework of the Unitary Correlation Operator Method

Roth¹,

Neff²,

Feldmeier³

2010

Progress in Particle and Nuclear Physics

162

217

View full text Add to dashboard Cite

Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interactioninduced correlations by unitary transformations. We focus on the Unitary Correlation Operator Method (UCOM), which offers a very intuitive, universal and robust approach for the treatment of short-range correlations. We discuss the UCOM formalism in detail and highlight the connections to other methods for the description of short-range correlations and the construction of effective interactions. In particular, we juxtapose UCOM with the Similarity Renormalization Group (SRG) approach, which implements the unitary transformation of the Hamiltonian through a very flexible flow-equation formulation. The UCOM-and SRG-transformed interactions are compared on the level of matrix elements and in many-body calculations within the no-core shell model and with Hartree-Fock plus perturbation theory for a variety of nuclei and observables. These calculations provide a detailed picture of the similarities and differences as well as the advantages and limitations of unitary transformation methods.

show abstract

Section: Optimal Correlation Functionsmentioning

confidence: 99%

Nuclear structure in the framework of the Unitary Correlation Operator Method

Roth¹,

Neff²,

Feldmeier³

2010

Progress in Particle and Nuclear Physics

162

217

View full text Add to dashboard Cite

show abstract

“…The basic idea of the Unitary Correlation Operator Method (UCOM) is to include the dominant correlations into the many-body state by means of a unitary transformation [2,3]. Starting from an uncorrelated many-body state Ψ , in the simplest case just a Slater determinant, a correlated state Ψ is defined through the application of the unitary correlation operator C:…”

Section: Unitary Correlation Operator Methodsmentioning

confidence: 99%

Towards Ab-Initio Nuclear Structure Calculations Beyond the p-Shell

Roth

2008

Nuclear Physics A

View full text Add to dashboard Cite

“…Other models start from a molecular viewpoint that employs composite particles, such as the α-particles as the building blocks for nuclear structure. A major task is underway to connect the two seemingly disjoint points of view and how nuclear excitations can emerge from a unified picture of the nucleus [257][258][259][260][261][262][263][264][265][266][267][268][269][270][271][272].…”

Section: B New Magic Numbers Clusters Majorana Particlesmentioning

confidence: 99%

Current Status of Nuclear Physics Research

Bertulani

Hussein

2015

Braz J Phys

View full text Add to dashboard Cite

In this review we discuss the current status of research in nuclear physics which is being carried out in different centers in the World. For this purpose we supply a short account of the development in the area which evolved over the last 9 decades, since the discovery of the neutron. The evolution of the physics of the atomic nucleus went through many stages as more data become available. We briefly discuss models introduced to discern the physics behind the experimental discoveries, such as the shell model, the collective model, the statistical model, the interacting boson model, etc., some of these models may be seemingly in conflict with each other, but this was shown to be only apparent.The richness of the ideas and abundance of theoretical models attests to the important fact that the nucleus is a really singular system in the sense that it evolves from two-body bound states such as the deuteron, to few-body bound states, such as 4 He, 7 Li, 9 Be etc. and up the ladder to heavier bound nuclei containing up to more than 200 nucleons. Clearly statistical mechanics, usually employed in systems with very large number of particles, would seemingly not work for such finite systems as the nuclei, neither do other theories which are applicable to condensed matter. The richness of nuclear physics stems from these restrictions. New theories and models are presently being developed. Theories of the structure and reactions of neutron-rich and proton-rich nuclei, called exotic nuclei, halo nuclei, or Borromean nuclei, deal with the wealth of experimental data that became available in the last 35 years. Further, nuclear astrophysics and stellar and Big Bang nucleosynthesis have become a more mature subject. Due to limited space, this review only covers a few selected topics, mainly those with which the authors have worked on. Our aimed potential readers of this review are nuclear physicists and physicists in other areas, as well as graduate students interested in pursuing a career in nuclear physics.

show abstract

Tensor correlations in the unitary correlation operator method

Cited by 191 publications

References 33 publications

Nuclear structure in the framework of the Unitary Correlation Operator Method

Nuclear structure in the framework of the Unitary Correlation Operator Method

Towards Ab-Initio Nuclear Structure Calculations Beyond the p-Shell

Current Status of Nuclear Physics Research

Contact Info

Product

Resources

About