Few-nucleon systems in a translationally invariant harmonic oscillator basis

Navrátil, Petr; Kamuntavičius, Gintautas P.; Barrett, B. R.

doi:10.1103/physrevc.61.044001

Cited by 242 publications

(382 citation statements)

References 40 publications

Supporting

Mentioning

365

Contrasting

Order By: Relevance

“…[42], where two / P/ T mechanisms were considered: nucleon EDMs and a / P/ T two-nucleon potential containing the most general non-derivative, single π-, ρ-, and ω-meson exchanges. The nuclear wavefunction was calculated with the no-core shell model (NCSM) [62], where a P T nuclear potential is solved within a model space made from appropriately symmetrized combinations [63] of N max harmonicoscillator wavefunctions of frequency Ω. In Ref.…”

Section: Edm Of the Helion And The Tritonmentioning

confidence: 99%

Electric dipole moments of light nuclei from chiral effective field theory

et al. 2011

View full text Add to dashboard Cite

We set up the framework for the calculation of electric dipole moments (EDMs) of light nuclei using the systematic expansion provided by chiral effective field theory (EFT). We take into account parity (P ) and time-reversal (T ) violation which, at the quark-gluon level, originates from the QCD vacuum angle and dimension-six operators capturing physics beyond the Standard Model. We argue that EDMs of light nuclei can be expressed in terms of six low-energy constants that appear in the P -and T -violating nuclear potential and electric current. As examples, we calculate the EDMs of the deuteron, the triton, and 3 He in leading order in the EFT expansion.

show abstract

Section: Edm Of the Helion And The Tritonmentioning

confidence: 99%

Electric dipole moments of light nuclei from chiral effective field theory

et al. 2011

View full text Add to dashboard Cite

show abstract

“…Exact benchmark calculations for the three-and four-body system [8,9,10,11,12] were very helpful in this respect. They also showed that three-body forces are needed, though different ones for different phase-shift equivalent two-body potentials.…”

Section: Off-shell Propertiesmentioning

confidence: 99%

“…For the NCSM calculations in the three-and four-body system we use the ManyEff code by Petr Navrátil [11]. It employs a translationally invariant oscillator basis in Jacobi coordinates.…”

Section: Benchmarking V Ucom In Ab Initio Few-body Calculationsmentioning

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

“…We note that (36) is numerically more efficient than (35). Next, we take the second part of (28), which results in a simpler expression for one-pion-exchange plus contact N 2 LO three-nucleon matrix element in non-antisymmetrized basis:…”

Section: Transformation Of the Momentum Part Of The Nnn Interactionmentioning

confidence: 99%

Local three-nucleon interaction from chiral effective field theory

2007

Self Cite

View full text Add to dashboard Cite

The three-nucleon (NNN) interaction derived within the chiral effective field theory at the nextto-next-to-leading order (N 2 LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction is then local in the coordinate space, which is advantages for some many-body techniques. Matrix elements of the local chiral NNN interaction are evaluated in a three-nucleon basis. Using the ab initio no-core shell model (NCSM) the NNN matrix elements are employed in 3 H and 4 He bound-state calculations.

show abstract

Few-nucleon systems in a translationally invariant harmonic oscillator basis

Cited by 242 publications

References 40 publications

Electric dipole moments of light nuclei from chiral effective field theory

Electric dipole moments of light nuclei from chiral effective field theory

Nuclear structure in the framework of the Unitary Correlation Operator Method

Local three-nucleon interaction from chiral effective field theory

Contact Info

Product

Resources

About