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In this paper we study the renormalization of Halo effective field theory applied to the Helium-6 halo nucleus seen as an alpha-neutron-neutron three-body state. We include the 0+ dineutron channel together with both the 3/2- and 1/2-…

Nuclear Theory · Physics 2017-01-31 Emil Ryberg , Christian Forssén , Lucas Platter

We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier…

Nuclear Theory · Physics 2025-06-03 E. C. Pinilla , W. Leidemann , G. Orlandini , P. Descouvemont

We present a new approach to the construction of effective interactions suitable for many-body calculations by means of the no-core shell model (NCSM). We consider an effective field theory (EFT) with only nucleon fields directly in the…

Nuclear Theory · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck

Halo nuclei are a promising new arena for studies based on effective field theory (EFT). We develop an EFT for shallow p-wave states and discuss the application to elastic n-alpha scattering. In contrast to the s-wave case, both the…

Nuclear Theory · Physics 2009-11-07 C. A. Bertulani , H. -W. Hammer , U. van Kolck

The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interactions…

Nuclear Theory · Physics 2017-11-29 Y. Jaganathen , R. M. Id Betan , N. Michel , W. Nazarewicz , M. Ploszajczak

The open quantum system formulation of the nuclear shell model, the so-called Gamow Shell Model (GSM), is a multi-configurational SM that employs a single-particle basis given by the Berggren ensemble consisting of Gamow states and the…

Nuclear Theory · Physics 2009-11-11 N. Michel , W. Nazarewicz , M. Ploszajczak , J. Rotureau

Structure of weakly bound/unbound nuclei close to particle drip lines is different from that around the valley of beta stability. A comprehensive description of these systems goes beyond standard Shell Model and demands an open quantum…

Nuclear Theory · Physics 2015-11-17 Y. Jaganathen , N. Michel , M. Ploszajczak

${\bf Background:}$ Weakly bound and unbound nuclear states appearing around particle thresholds are prototypical open quantum systems. Theories of such states must take into account configuration mixing effects in the presence of strong…

Nuclear Theory · Physics 2017-10-11 S. M. Wang , N. Michel , W. Nazarewicz , F. R. Xu

The Gamow shell model (GSM) framework has been extended to the study of weakly bound hypernuclei. As a first application, the neutron-rich He hyper-isotope chains, from 6{\Lambda}He to 9{\Lambda}He have been investigated to accurately…

Nuclear Theory · Physics 2025-05-13 Xin Li , N. Michel , J. G. Li , Xian-Rong Zhou

No-Core Gamow Shell Model (NCGSM) is applied for the first time to study selected well-bound and unbound states of helium isotopes. This model is formulated on the complex energy plane and, by using a complete Berggren ensemble, treats…

Nuclear Theory · Physics 2015-06-12 G. Papadimitriou , J. Rotureau , N. Michel , M. Płoszajczak , B. R. Barrett

The beta-decay process of the $^6$He halo nucleus into the alpha+d continuum is studied in a three-body model. The $^6$He nucleus is described as an alpha+n+n system in hyperspherical coordinates on a Lagrange mesh. The convergence of the…

Nuclear Theory · Physics 2014-11-18 E. M. Tursunov , D. Baye , P. Descouvemont

Background: In recent years properties of light rare isotopes have been measured with high accuracy. At the same time, the theoretical description of light nuclei has made enormous progress, and properties of, e.g., the Helium isotopes can…

Nuclear Theory · Physics 2014-11-05 C. Ji , Ch. Elster , D. R. Phillips

The bound state of \nuclide[6][\Lambda\Lambda]{He} is studied as a three-body ($\Lambda\Lambda\alpha$) system in a cluster effective field theory at leading order (LO). We find that the system exhibits the limit cycle which is associated…

Nuclear Theory · Physics 2016-04-20 S. -I. Ando , Y. Oh

By using the method of hyperspherical functions within the appropriate for this method $K_{\min}$ approximation, the simple three-cluster model for description of the ground state and the continuous spectrum states of \6He is developed. It…

Nuclear Theory · Physics 2007-05-23 G. F. Filippov , I. Yu. Rybkin , S. V. Korennov

Gamow shell model (GSM) is usually performed within the Woods-Saxon (WS) basis in which the WS parameters need to be determined by fitting experimental single-particle energies including their resonance widths. In the multi-shell case, such…

Nuclear Theory · Physics 2020-01-16 B. S. Hu , Q. Wu , J. G. Li , Y. Z. Ma , Z. H. Sun , N. Michel , F. R. Xu

We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized N3LO interaction…

Nuclear Theory · Physics 2011-07-19 G. Hagen , M. Hjorth-Jensen , N. Michel

Few-body systems, such as cold atoms and halo nuclei, share universal features at low energies, which are insensitive to the underlying inter-particle interactions at short ranges. These low-energy properties can be investigated in the…

Nuclear Theory · Physics 2016-05-17 Chen Ji

Drip-line nuclei have very different properties from those of the valley of stability, as they are weakly bound and resonant. Therefore, the models devised for stable nuclei can no longer be applied therein. Hence, a new theoretical tool,…

Computational Physics · Physics 2020-02-19 Nicolas Michel , Hasan Metin Aktulga , Yannen Jaganathen

We apply a contour deformation technique in momentum space to the newly developed Gamow shell model, and study the drip-line nuclei 5He, 6He and 7He. A major problem in Gamow shell-model studies of nuclear many-body systems is the…

Nuclear Theory · Physics 2007-05-23 G. Hagen , M. Hjorth-Jensen , J. S. Vaagen

In the strangeness $S=-2$ sector, we study the $\Xi^{-}nn$ ($I=3/2, J^P={1/2}^+$) three-body system using pionless halo effective field theory (EFT), which provides a systematic model independent framework for assessing the feasibility of…

Nuclear Theory · Physics 2021-04-30 Ghanashyam Meher , Udit Raha
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