Four-nucleon scattering:<i>Ab initio</i>calculations in momentum space

Deltuva, A.; Fonseca, A. C.

doi:10.1103/physrevc.75.014005

Cited by 140 publications

(370 citation statements)

References 37 publications

Supporting

Mentioning

357

Contrasting

Order By: Relevance

“…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%

Nuclear structure in the framework of the Unitary Correlation Operator Method

Roth¹,

Neff²,

Feldmeier³

2010

Progress in Particle and Nuclear Physics

161

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: Off-shell Propertiesmentioning

confidence: 99%

Nuclear structure in the framework of the Unitary Correlation Operator Method

Roth¹,

Neff²,

Feldmeier³

2010

Progress in Particle and Nuclear Physics

161

217

View full text Add to dashboard Cite

show abstract

“…The symmetrized version for the four-particle transition operators U βα is derived in ref. [7], where the nucleons are treated as identical particles in the isospin formalism, i.e.,…”

Section: Theorymentioning

confidence: 99%

“…Here |φ α is the Faddeev component of the asymptotic two-cluster state in the channel α, characterized by the bound state energy α < 0, the relative momentum p α , and the reduced mass μ α ; S βα are the symmetrization factors [7]. The AGS equations (1) are solved in the momentum-space partial-wave framework.…”

Section: Theorymentioning

confidence: 99%

“…(1) into a system of linear equations as described in ref. [7]. However, in the limit ε → +0 needed for the calculation of the observables the kernel of the AGS equations contains integrable singularities: At E + iε − α − k 2 z /2μ α → 0 the subsystem transition operator in the bound state channel has the pole…”

Section: Theorymentioning

confidence: 99%

“…However, their numerical solution using realistic force models only became possible many years later. In the last decade accurate numerical calculations for low-energy nucleon-trinucleon elastic scattering have been performed using both coordinate-space and momentum-space rigorous approaches, namely, the hyperspherical harmonics (HH) expansion method [4,5], the Faddeev-Yakubovsky (FY) equations [1] for the wave function components [6], and the Alt, Grassberger and Sandhas (AGS) equations [3] for transition operators [7,8]. The reliability of all these methods was confirmed in a benchmark calculation [9] for neutron-3 H (n-3 H) and proton-3 He (p-3 He) elastic scattering observables.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reactions in the four-nucleon system above breakup threshold

Deltuva

Fonseca

2016

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract. Microscopic calculations of four-body scattering become very challenging in the energy regime above the threshold for four free particles. We consider mixed-isospin four-nucleon reactions initiated by the proton-3 H, neutron-3 He, or deuteron-deuteron collisions. We solve the Alt, Grassberger, and Sandhas equations for the four-nucleon transition operators in the momentum-space framework. The complex-energy method with special integration weights is applied to deal with the complicated singularities in the kernel of AGS equations. Results for the differential cross section and spin observables in elastic, charge-exchange, transfer, and breakup reactions using realistic potentials are presented.

show abstract