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Resonance is a general phenomenon which can happen in classic or quantum systems. An unbound many-body quantum system can undergo a self-resonant process. It has long been a challenge how to describe unbound many-body quantum systems in…

Nuclear Theory · Physics 2020-01-23 B. S. Hu , Q. Wu , Z. H. Sun , F. R. Xu

A comprehensive study of various ground-state properties of neutron-rich and neutron-deficient Mg isotopes with $A$=20-36 is performed in the framework of the self-consistent deformed Skyrme-Hartree-Fock plus BCS method. The correlation…

Nuclear Theory · Physics 2015-06-19 M. K. Gaidarov , P. Sarriguren , A. N. Antonov , E. Moya de Guerra

Shell structure of low-lying neutron resonant levels in axially-symmetric quadrupole-deformed potentials is discussed, which seems analogous to that of weakly-bound neutrons. As numerical examples, nuclei slightly outside the…

Nuclear Theory · Physics 2016-06-22 Ikuko Hamamoto

The ground-state bands (GSBs) in the even-even hafnium isotopes $^{170-184}$Hf are investigated by using the cranked shell model (CSM) with pairing correlations treated by the particle-number conserving (PNC) method. The experimental…

Nuclear Theory · Physics 2020-08-05 Xiao-Tao He , Yang Cao , Xiao-Ling Gan

We analyze recently-measured total reaction cross sections for 24-38Mg isotopes incident on 12C targets at 240 MeV/nucleon by using the folding model and antisymmetrized molecular dynamics(AMD). The folding model well reproduces the…

Matter radii of the $^{34-40}$Mg nuclei are investigated by self-consistent Hartree-Fock-Bogolyubov calculations assuming the axial symmetry. With the semi-realistic M3Y-P6 interaction, the $N$-dependence of the matter radii observed in the…

Nuclear Theory · Physics 2018-07-25 H. Nakada , K. Takayama

The $K^{\pi}=8^{-}$ isomeric states and rotational bands in the even-even $N = 150$ isotones with $94 \leqslant Z \leqslant 104$ are investigated by the cranked shell model (CSM) with pairing correlations treated by the…

Nuclear Theory · Physics 2024-10-29 Jun Zhang , Hai-Qian Zhang , T. M. Shneidman , R. V. Jolos , Xiao-Tao He

The Gamow shell model has shown to efficiently describe weakly bound and unbound nuclear systems, as internucleon correlations and continuum coupling are both taken into account in this model. In the present work, we study neutron-dripline…

Nuclear Theory · Physics 2021-03-09 J. G. Li , N. Michel , W. Zuo , F. R. Xu

Background$\colon$ The $^{29}$F system is located at the lower-N boundary of the "island of inversion" and is an exotic, weakly bound system. Little is known about this system beyond its two-neutron separation energy ($S_{2n}$) with large…

Nuclear Theory · Physics 2020-02-24 Jagjit Singh , J. Casal , W. Horiuchi , L. Fortunato , A. Vitturi

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

Background: An important aspect of reducing nuclear many-body problems to few-body models is the presence of Pauli forbidden (PF) states, which are excluded in fully antisymmetrized calculations. Insufficient treatments of PF states in…

Nuclear Theory · Physics 2024-11-19 Shin Watanabe , Antonio M. Moro

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

We have developed an {\it ab initio} deformed in-medium similarity renormalization group (IMSRG) for open-shell nuclei. This is a single-reference IMSRG in deformed Hartree-Fock (HF) basis. Deformed wave functions are more efficient in…

Nuclear Theory · Physics 2022-07-13 Q. Yuan , S. Q. Fan , B. S. Hu , J. G. Li , S. Zhang , S. M. Wang , Z. H. Sun , Y. Z. Ma , F. R. Xu

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

We have investigated the ground-state structures of even-even neutron-deficient isotopes of Hg and Pb nuclei within the framework of a deformed relativistic mean field formalism for a number of commonly used parameter sets, namely NL1, NL3,…

Nuclear Theory · Physics 2007-05-23 M. S. Mehta , T. K. Jha , S. K. Patra , Raj K. Gupta

{\bf Background:} Level sequences of rotational character have been observed in several nuclei in the $A=60$ mass region. The importance of the deformation-driving $\pi f_{7/2}$ and $\nu g_{9/2}$ orbitals on the onset of nuclear deformation…

Recently, the shell model in the complex k-plane (the so-called Gamow Shell Model) has been formulated using a complex Berggren ensemble representing bound single-particle states, single-particle resonances, and non-resonant continuum…

Nuclear Theory · Physics 2015-06-26 N. Michel , W. Nazarewicz , M. Ploszajczak , J. Rotureau

Using Woods-Saxon potentials and the eigenphase formalism for one-particle resonances, one-particle bound and resonant levels for neutrons as a function of quadrupole deformation are presented, which are supposed to be useful for the…

Nuclear Theory · Physics 2008-11-26 Ikuko Hamamoto

The structure of the unbound $^{15}$F nucleus is investigated using the inverse kinematics resonant scattering of a radioactive $^{14}$O beam impinging on a CH$_2$ target. The analysis of $^{1}$H($^{14}$O,p)$^{14}$O and…

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