Effect of the three-body force on triton asymptotic normalization constants by the hyperspherical harmonics expansion method

Pramana ◽  
1991 ◽  
Vol 36 (3) ◽  
pp. 313-323
Author(s):  
Apurba Kumar Ghosh ◽  
Tapan Kumar Das
Keyword(s):  
Body Force ◽  
Expansion Method ◽  
Asymptotic Normalization ◽  
Hyperspherical Harmonics ◽  
Three Body ◽  
Hyperspherical Harmonics Expansion

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 Application of hyperspherical harmonics expansion method to the low-lying bound S-states of exotic two-muon three-body systems

2014 ◽  
Vol 23 (10) ◽  
pp. 1450055 ◽  
Author(s):  
Md. Abdul Khan
Keyword(s):  
Nuclear Charge ◽  
Expansion Method ◽  
Bound State ◽  
Hyperspherical Harmonics ◽  
Nuclear Core ◽  
Partial Waves ◽  
Extrapolation Scheme ◽  
Three Body ◽  
S States ◽  
Hyperspherical Harmonics Expansion

In this paper, energies of the low-lying bound S-states (L = 0) of exotic three-body systems, consisting a nuclear core of charge +Ze (Z being atomic number of the core) and two negatively charged valence muons, have been calculated by hyperspherical harmonics expansion method (HHEM). The three-body Schrödinger equation is solved assuming purely Coulomb interaction among the binary pairs of the three-body systems X Z+μ-μ- for Z = 1 to 54. Convergence pattern of the energies have been checked with respect to the increasing number of partial waves Λmax. For available computer facilities, calculations are feasible up to Λmax = 28 partial waves, however, calculation for still higher partial waves have been achieved through an appropriate extrapolation scheme. The dependence of bound state energies has been checked against increasing nuclear charge Z and finally, the calculated energies have been compared with the ones of the literature.

scholarly journals Solution of Faddeev integral equations in configuration space using the hyperspherical harmonics expansion method

2014 ◽  
Vol 23 (11) ◽  
pp. 1450069
Author(s):  
Valery I. Kovalchuk
Keyword(s):  
Configuration Space ◽  
Magnetic Moments ◽  
Expansion Method ◽  
Bound State ◽  
Binding Energies ◽  
Hyperspherical Harmonics ◽  
Faddeev Equations ◽  
Charge Radii ◽  
Mixed Symmetry ◽  
Hyperspherical Harmonics Expansion

In this paper, a method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have been calculated: the binding energies, the weights of symmetric and mixed-symmetry components of the wave function, the magnetic moments, and the charge radii.

THREE-BODY FORCES FROM n-BODY INVERSION

1995 ◽  
Vol 04 (02) ◽  
pp. 431-441
Author(s):  
E.J.O. GAVIN ◽  
H. FIEDELDEY ◽  
S.A. SOFIANOS
Keyword(s):  
Body Force ◽  
Order Approximation ◽  
Expansion Method ◽  
Bound State ◽  
Hyperspherical Harmonic ◽  
Hyperspherical Harmonic Expansion ◽  
Body Forces ◽  
Quark System ◽  
Three Body ◽  
Hyperspherical Harmonic Expansion Method

Within the context of the lowest order approximation to the calculation of the n-body bound state in the Hyperspherical Harmonic Expansion Method, the hypercentral potential may be determined from n-body spectral data. Previously, we showed how the two-body force can be determined exactly from the hypercentral potential in the absence of three-body forces. In this paper, we investigate to what extent the three-body force can be determined if the two-body force is assumed to be known. For this purpose, a three-quark system is considered.

Three body force model for lattice dynamics of copper

1986 ◽  
Vol 57 (8) ◽  
pp. 559-562 ◽  
Author(s):  
H. Nait-Laziz ◽  
K.K. Chopra
Keyword(s):  
Lattice Dynamics ◽  
Body Force ◽  
Force Model ◽  
Three Body
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