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001-es BibID:	BIBFORM050067
Első szerző:	Kruppa András Tibor (fizikus)
Cím:	Nuclear three-body problem in the complex energy plane : Complex-scaling Slater method / A. T. Kruppa, G. Papadimitriou, W. Nazarewicz, and N. Michel
Dátum:	2014
ISSN:	0556-2813
Megjegyzések:	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 nuclearlandscape 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. Theoriesof 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 functionsof the bound and unbound states of the two-neutron halo nucleus 6He viewed as an ? +n+n cluster system.Methods:Both CS and GSM approaches are applied to a translationally invariant Hamiltonian with the two-bodyinteraction approximated by the ?nite-range central Minnesota force. In the CS approach, we use the Slaterbasis, which exhibits the correct asymptotic behavior at large distances. To extract particle densities from theback-rotated CS solutions, we apply the Tikhonov regularization procedure, which minimizes the ultravioletnumerical noise.Results:We show that the CS-Slater method is both accurate and ef?cient. Its equivalence to the GSM approachhas been demonstrated numerically for both energies and wave functions of 6He. One important technical aspect ofour 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 thecomplex-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 appliedto nuclear problems involving weakly bound and unbound states. While both methods can describe energies, totalwidths, and wave functions of nuclear states, the CS-Slater method - if it can be applied - can provide additionalinformation about partial energy widths associated with individual thresholds.
Tárgyszavak:	Természettudományok Fizikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban three-body problem resonances complex scaling Gamow shell model back-rotation Tikhonov method A Jövő Internet elméleti alapjai
Megjelenés:	Physical Review C. - 89 : 1 (2014), p. 014330-1 - 014330-15. -
További szerzők:	Papadimitriou, G. Nazarewicz, W. Michel, N.
Pályázati támogatás:	TÁMOP-4.2.2.C-11/1/KONV-2012-0001 TÁMOP Molekuláris kapcsolók, mint informatikai tárolórendszerek
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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