J-Matrix Approach to Loosely-Bound Three-Body Nuclear Systems

2008 ◽  
pp. 183-217 ◽  
Author(s):  
Yu.A. Lurie ◽  
A.M. Shirokov
Keyword(s):  
Matrix Approach ◽  
Nuclear Systems ◽  
Three Body

scholarly journals Loosely bound three-body nuclear systems in the J-matrix approach

2004 ◽  
Vol 312 (2) ◽  
pp. 284-318 ◽  
Author(s):  
Yu.A. Lurie ◽  
A.M. Shirokov
Keyword(s):  
Matrix Approach ◽  
Nuclear Systems ◽  
Three Body

Virtual States, Halos and Resonances in Three-Body Atomic and Nuclear Systems

2009 ◽  
Vol 45 (2-4) ◽  
pp. 215-218 ◽  
Author(s):  
T. Frederico ◽  
M. T. Yamashita ◽  
Lauro Tomio
Keyword(s):  
Nuclear Systems ◽  
Three Body

scholarly journals Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism

2021 ◽  
Vol 9 ◽  
Author(s):  
Simone Salvatore Li Muli ◽  
Sonia Bacca ◽  
Nir Barnea
Keyword(s):  
Truncation Error ◽  
Expansion Method ◽  
Muonic Atom ◽  
Light Nuclei ◽  
Hyperspherical Harmonics ◽  
Irreducible Tensors ◽  
Nuclear Systems ◽  
Chiral Interactions ◽  
Three Body ◽  
Hyperspherical Harmonics Expansion

With the goal of using chiral interactions at various orders to explore the properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the hyperspherical harmonics expansion method. We devote particular attention to three-body forces at next-to-next-to leading order, which play an important role in reproducing experimental data. We check our implementation by benchmarking the ground-state properties of 3H, 3He, and 4He against the available Monte Carlo calculations. We then confirm their order-by-order truncation error estimates and further investigate uncertainties in the charge radii obtained by using the precise muonic atom data for single-nucleon radii. Having local chiral Hamiltonians at various orders implemented in our hyperspherical harmonics suites of codes opens up the possibility to test such interactions on other light-nuclei properties, such as electromagnetic reactions.

scholarly journals Three-body systems in pionless effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641002 ◽  
Author(s):  
Jared Vanasse
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Bound State ◽  
Effective Field ◽  
Nuclear Systems ◽  
History Of ◽  
Three Body ◽  
Theory Formula

Investigations of three-body nuclear systems using pionless effective field theory ([Formula: see text]) are reviewed. The history of [Formula: see text] in [Formula: see text] and [Formula: see text] scattering is briefly discussed and emphasis put on the use of strict perturbative techniques. In addition renormalization issues appearing in [Formula: see text] scattering are also presented. Bound state calculations are addressed and new perturbative techniques for describing them are highlighted. Three-body breakup observables in [Formula: see text] scattering are also considered and the utility of [Formula: see text] for addressing them.

scholarly journals On Mass Polarization Effect in Three-Body Nuclear Systems

2018 ◽  
Vol 59 (3) ◽  
Author(s):  
I. Filikhin ◽  
R. Ya. Kezerashvili ◽  
V. M. Suslov ◽  
B. Vlahovic
Keyword(s):  
Polarization Effect ◽  
Nuclear Systems ◽  
Three Body

scholarly journals An investigation of the appearance of a long range nuclear potential in ultra low energy nuclear synthesis

2020 ◽  
Author(s):  
Shinsho Oryu ◽  
Takashi Watanabe ◽  
Yasuhisa Hiratsuka ◽  
Masayuki Takeda
Keyword(s):  
Long Range ◽  
Bound States ◽  
Wave Functions ◽  
Nuclear Potential ◽  
Range Potential ◽  
Nuclear Systems ◽  
Nuclear Synthesis ◽  
Three Body ◽  
Formula Type ◽  
Type Potential

A new potential, the generalgeneralparticleparticletransfertransferpotentialpotential: so called “GPT” potential was represented in the previous paper which indicates a Yukawa-type potential for shorter range, but a 1/r^n1/rn-type potential for longer range where n=2n=2 includes the Efimov-like potential in the hadron system. In order to confirm the existence of a GPT potential, we investigate the possibility of Cs+2d\rightarrow→La reaction on the three-ion quasi-molecule CsD_22 which is covered by twelve Pd or a CsD_22Pd_{12}12-cluster, where the three-body bound states and wave functions for D-Cs-D molecular and d-Cs-d nuclear systems are calculated. We obtain an approximate E2-transition from the molecular states to the nuclear states. The transition ratio between the short range nuclear potential with the 1/r^21/r2-type long range potential and without long range potential is W_{i\rightarrow f}^{E2';L}/W_{i\rightarrow f}^{E2';S}\approx 10^8Wi→fE2′;L/Wi→fE2′;S≈108. If the reaction Cs+2D\rightarrow→La is experimentally observed, then the existence of the GPT potential could be confirmed.

CLUSTERING PHENOMENA IN SUPERHEAVY NUCLEAR SYSTEMS

2008 ◽  
Vol 17 (10) ◽  
pp. 2199-2207 ◽  
Author(s):  
VALERY ZAGREBAEV ◽  
WALTER GREINER
Keyword(s):  
Energy Surface ◽  
Heavy Ion ◽  
Low Energy ◽  
Transfer Reactions ◽  
Nuclear System ◽  
Local Minima ◽  
Shell Effects ◽  
Nuclear Systems ◽  
Three Body ◽  
Enhanced Yield

Dynamics of heavy-ion low energy damped collisions is studied within the model based on the Langevin type equations. Shell effects on the multi-dimensional potential energy surface play an important role in these reactions. This leads to several local minima on the fission path of heavy nucleus — so called isomeric states which are nothing else but the two-cluster configurations with magic or semi-magic cores surrounded with a certain number of shared nucleons. In a giant nuclear system (formed, for example, in U + U collision) the three-body clustering configurations may also appear. Enhanced yield of the nuclides far from the projectile and target masses was found in the multi-nucleon transfer reactions due to the shell effects. It suggests that the low-energy damped collisions of transactinide nuclei may be used as an alternative way for the production of surviving superheavy long-living neutron-rich nuclei.

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