<i>Ab initio</i>no-core Gamow shell model calculations with realistic interactions

Papadimitriou, Georgios I.; Rotureau, J.; Michel, N.; Płoszajczak, M.; Barrett, B. R.

doi:10.1103/physrevc.88.044318

Cited by 103 publications

(136 citation statements)

References 112 publications

Supporting

Mentioning

133

Contrasting

Order By: Relevance

“…A step in this direction is the unification of bound states and resonant phenomena, often enabled by high-performance computing, and there has been excellent progress in this area [2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Nuclear three-body problem in the complex energy plane: Complex-scaling Slater method

et al. 2014

Self Cite

View full text Add to dashboard Cite

Background:The physics of open quantum systems is an interdisciplinary area of research. The nuclear "openness" manifests itself through the presence of the many-body continuum representing various decay, scattering, and reaction channels. As the radioactive nuclear beam experimentation extends the known nuclear landscape toward the particle drip lines, the coupling to the continuum space becomes exceedingly more important. Of particular interest are weakly bound and unbound nuclear states appearing around particle thresholds. Theories of such nuclei must take into account their open quantum nature. Purpose:To describe open quantum systems, we introduce a complex-scaling (CS) approach in the Slater basis. We benchmark it with the complex-energy Gamow shell model (GSM) by studying energies and wave functions of the bound and unbound states of the two-neutron halo nucleus 6 He viewed as an α + n + n cluster system. Methods: Both CS and GSM approaches are applied to a translationally invariant Hamiltonian with the two-body interaction approximated by the finite-range central Minnesota force. In the CS approach, we use the Slater basis, which exhibits the correct asymptotic behavior at large distances. To extract particle densities from the back-rotated CS solutions, we apply the Tikhonov regularization procedure, which minimizes the ultraviolet numerical noise. Results: We show that the CS-Slater method is both accurate and efficient. Its equivalence to the GSM approach has been demonstrated numerically for both energies and wave functions of 6 He. One important technical aspect of our calculation was to fully retrieve the correct asymptotic behavior of a resonance state from the complex-scaled (square-integrable) wave function. While standard applications of the inverse complex transformation to the complex-rotated solution provide unstable results, the stabilization method fully reproduces the GSM benchmark. We also propose a method to determine the smoothing parameter of the Tikhonov regularization. Conclusions:The combined suite of CS-Slater and GSM techniques has many attractive features when applied to nuclear problems involving weakly bound and unbound states. While both methods can describe energies, total widths, and wave functions of nuclear states, the CS-Slater method-if it can be applied-can provide additional information about partial energy widths associated with individual thresholds.

show abstract

Section: Introductionmentioning

confidence: 99%

Nuclear three-body problem in the complex energy plane: Complex-scaling Slater method

et al. 2014

Self Cite

View full text Add to dashboard Cite

show abstract

“…[93], the No-Core Gamow Shell Model (NCGSM), which treats bound, resonant, and scattering states equally, was first applied to study some well-bound and unbound states of the helium isotopes [93]. The density matrix renormalization group (DMRG) method [94] was used to solve the many-body Schrödinger equation.…”

Section: Other Applications and Future Directionsmentioning

confidence: 99%

New applications of renormalization group methods in nuclear physics

2013

View full text Add to dashboard Cite

Abstract. We review recent developments in the use of renormalization group (RG) methods in low-energy nuclear physics. These advances include enhanced RG technology, particularly for three-nucleon forces, which greatly extends the reach and accuracy of microscopic calculations. We discuss new results for the nucleonic equation of state with applications to astrophysical systems such as neutron stars, new calculations of the structure and reactions of finite nuclei, and new explorations of correlations in nuclear systems.

show abstract

“…For two-body processes there is a wealth of strategies that solve the structure-reaction problems: matching solutions [21,24], the R-matrix method [25], Hilbert space projection techniques such as the shell model embedded in the continuum (SMEC) [26] or the continuum shell model (CSM) [19], the Berggren complex-plane formulation [27], Lüscher's finite-volume method [20,28], or the HORSE (J-matrix) formalism [29,30]. However, the coupling between intrinsic structure and the continuum of reaction states remains a particularly difficult question when it comes to multiple final-state fragments, decay fragments with complex internal structures [2], longrange interactions [31], competing direct and sequential decay modes [32,33], or many open channels that are equally significant and provide a structural feedback from the continuum [12].…”

mentioning

confidence: 99%