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Related papers: Resonant states of deformed nuclei in complex scal…

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In this paper, a novel theoretical scheme is presented to investigate resonant levels in weakly bound nuclear systems by the use of isospectral potentials. In this scheme, a new potential is constructed which is strictly isospectral with…

Nuclear Theory · Physics 2020-10-06 Mahamadun Hasan , Shamim Haque Mondal , Murshid Alam , Tasrief Surungan , Md Abdul Khan

Using a simple model based on the knowledge of spherical and deformed Woods-Saxon potentials, it is shown that the recent observation of halo phenomena in $^{29}$F can be interpreted as an evidence for the prolate deformation of the ground…

Nuclear Theory · Physics 2021-02-24 Ikuko Hamamoto

Adjustment of the behavior of the potential energy of nuclear deformation, defined as the sum of the energies of lowest-lying occupied single-particle levels in a deformed finite potential with a pairing correction, is considered by taking…

Nuclear Theory · Physics 2021-07-20 G. I. Bykhalo , V. N. Orlin , K. A. Stopani

We explore the rotational feature of deformed halos by performing the angular momentum projection (AMP) on the ground state wave functions obtained from the deformed relativistic Hartree-Bogoliubov theory (DRHBc) in continuum. The DRHBc+AMP…

Nuclear Theory · Physics 2021-10-15 Xiang-Xiang Sun , Shan-Gui Zhou

The inelastic scattering of electrons on weakly-bound nuclei is studied with a simple model based on the long range behavior of the bound state wavefunction and on the effective-range expansion for the continuum wavefunctions. Three…

Nuclear Theory · Physics 2009-11-11 C. A. Bertulani

A generalization of the Complex Shell Model formalism is presented which includes antibound states in the basis. These states, together with bound states, Gamow states, and the continuum background, represented by properly chosen scattering…

Nuclear Theory · Physics 2007-05-23 R. Id Betan , R. J. Liotta , N. Sandulescu , T. Vertse , R. Wyss

Microscopic structure of the low-lying isovector dipole excitation mode in neutron-rich $^{26,28,30}$Ne is investigated by performing deformed quasiparticle-random-phase-approximation (QRPA) calculations. The particle-hole residual…

Nuclear Theory · Physics 2008-11-26 Kenichi Yoshida , Nguyen Van Giai

The E1 strength is systematically analyzed in very neutron-rich Sn nuclei, beyond $^{132}$Sn until $^{166}$Sn, within the Relativistic Quasiparticle Random Phase Approximation. The great neutron excess favors the appearance of a deformed…

Nuclear Theory · Physics 2008-12-11 Daniel Pena Arteaga , E. Khan , Peter Ring

Scattering resonances due to the dipole-dipole interaction between ultracold molecules, induced by static or microwave fields, are studied theoretically. We develop a method for coupled-channel calculations that can efficiently impose many…

Quantum Gases · Physics 2023-07-11 Tijs Karman

We study the resonance spectroscopy of 7He in the 4He+n+n+n cluster model, where the motion of valence neutrons is described in the cluster orbital shell model. Many-body resonances are treated on the correct boundary condition as the Gamow…

Nuclear Theory · Physics 2008-11-26 Takayuki Myo , Kiyoshi Kato , Kiyomi Ikeda

When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be excited by incident waves from the far field. In this work, we…

Analysis of PDEs · Mathematics 2021-10-27 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Hyundae Lee , Sanghyeon Yu

We demonstrate the validity of the complex scaling method for realistic strong, non-local, nucleon- nucleon interactions by comparing the deuteron bound state and nucleon-nucleon scattering phase shifts with results from other…

Nuclear Theory · Physics 2015-03-05 G. Papadimitriou , J. P. Vary

We present a study of deformed nuclei in the framework of the sdg interacting boson model utilizing both numerical diagonalization and analytical $1/N$ expansion techniques. The focus is on description of high-spin states which have…

Nuclear Theory · Physics 2009-10-30 S. C. Li , S. Kuyucak

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 connection between molecular resonance phenomena in light heavy-ion collisions, alpha-clustering and extremely deformed states in light $\alpha$-like nuclei is discussed. For example, the superdeformed bands recently discovered in light…

Nuclear Experiment · Physics 2009-11-10 C. Beck

The relationship between the deformed harmonic oscillator and the formation of molecular cluster structures, whereby valence neutrons are exchanged between cluster cores, is examined. It is found that there is a strong connection between…

Nuclear Theory · Physics 2020-12-08 R Canavan , M Freer

Low-energy vibrational excitations associated with the fluctuation of quadrupole deformed shapes are discussed within the frame of state-of-the-art Configuration Interaction calculations, actually performed via the Quasi-particle Vacua…

Nuclear Theory · Physics 2025-07-30 Y. Tsunoda , T. Otsuka , N. Shimizu , T. Duguet , Y. Utsuno , T. Abe

It is known that nuclear deformation plays an important role in inducing the halo structure in neutron-rich nuclei by mixing several angular momentum components. While previous theoretical studies on this problem in the literature assume…

Nuclear Theory · Physics 2021-08-04 K. Uzawa , K. Hagino , K. Yoshida

We derive a simple formula for the width of a multi-channel resonance state. To this end, we use a deformed square-well potential and solve the coupled-channels equations. We obtain the $S$-matrix in the Breit-Wigner form, from which…

Nuclear Theory · Physics 2019-12-06 K. Hagino , H. Sagawa , S. Kanaya , A. Odahara

We consider a simplified model for resonant neutron-nucleus interaction with coupled channels. An analytical solution is given for two coupled channels and arbitrary neutron orbital momentum. A case of a week channel coupling, corresponding…

Nuclear Theory · Physics 2009-10-28 A. L. Barabanov