202 research outputs found
Four-Body Bound State Formulation in Three-Dimensional Approach (Without Angular Momentum Decomposition)
The four-body bound state with two-body forces is formulated by the
Three-Dimensional approach, which greatly simplifies the numerical calculations
of few-body systems without performing the Partial Wave components. We have
obtained the Yakubovsky equations directly as three dimensional integral
equations.Comment: Talk given at the Third Asia-Pacific Conference on Few-Body Problems
in Physics. Nakhon Ratchasima, Thailand. July 200
Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
The four-body Yakubovsky equations in a Three-Dimensional approach with the
inclusion of the three-body forces is proposed. The four-body bound state with
two- and three-body interactions is formulated in Three-Dimensional approach
for identical particles as function of vector Jacobi momenta, specifically the
magnitudes of the momenta and the angles between them. The modified three
dimensional Yakubovsky integral equations is successfully solved with the
scalar two-meson exchange three-body force where the Malfliet-Tjon-type
two-body force is implemented. The three-body force effects on the energy
eigenvalue and the four-body wave function, as well as accuracy of our
numerical calculations are presented.The four-body Yakubovsky equations in a
Three-Dimensional approach with the inclusion of the three-body forces is
proposed. The four-body bound state with two- and three-body interactions is
formulated in Three-Dimensional approach for identical particles as function of
vector Jacobi momenta, specifically the magnitudes of the momenta and the
angles between them. The modified three dimensional Yakubovsky integral
equations is successfully solved with the scalar two-meson exchange three-body
force where the Malfliet-Tjon-type two-body force is implemented. The
three-body force effects on the energy eigenvalue and the four-body wave
function, as well as accuracy of our numerical calculations are presented.Comment: 23 pages, 2 eps figures, 5 tables. Major changes; version to appear
in European Physical Journal
3D calculation of Tucson-Melbourne 3NF effect in triton binding energy
As an application of the new realistic three-dimensional (3D) formalism
reported recently for three-nucleon (3N) bound states, an attempt is made to
study the effect of three-nucleon forces (3NFs) in triton binding energy in a
non partial wave (PW) approach. The spin-isospin dependent 3N Faddeev integral
equations with the inclusion of 3NFs, which are formulated as function of
vector Jacobi momenta, specifically the magnitudes of the momenta and the angle
between them, are solved with Bonn-B and Tucson-Melbourne NN and 3N forces in
operator forms which can be incorporated in our 3D formalism. The comparison
with numerical results in both, novel 3D and standard PW schemes, shows that
non PW calculations avoid the very involved angular momentum algebra occurring
for the permutations and transformations and it is more efficient and less
cumbersome for considering the 3NF.Comment: 4 pages, 1 figure, 1 table
Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
A spin-isospin dependent Three-Dimensional approach based on momentum vectors
for formulation of the three-nucleon bound state is presented in this paper.
The three-nucleon Faddeev equations with two-nucleon interactions are
formulated as a function of vector Jacobi momenta, specifically the magnitudes
of the momenta and the angle between them with the inclusion of the
spin-isospin quantum numbers, without employing a partial wave decomposition.
As an application the spin-isospin dependent Faddeev integral equations are
solved with Bonn-B potential. Our result for the Triton binding energy with the
value of -8.152 MeV is in good agreement with the achievements of the other
partial wave based methods.Comment: 24 pages, 1 figure, 7 tables. Major changes; version to appear in
Physical Review
Towards a three dimensional solution for 3N bound states with 3NFs
After a brief discussion about the necessity of using the 3D approach, we
present the non PW formalism for 3N bound state with the inclusion of 3N force
(3NF). As an example the evaluation of 3NF matrix elements, which appear in the
obtained coupled three dimensional integral equations, for -exchange
Tucson-Melbourne 3NF show how would be this formalism efficient and less
cumbersome in comparison with the PW formalism.Comment: 8 pages, this paper is based on an invited talk given at the Fourth
Asia-Pacific Conference on Few-Body Problems in Physics 2008, Depok,
Indonesia, August 19 - 23, 200
Photodisintegration of in a three dimensional Faddeev approach
An interaction of a photon with is invstigated based on a three
dimensional Faddeev approach. In this approach the three-nucleon Faddeev
equations with two-nucleon interactions are formulated with consideration of
the magnitude of the vector Jacobi momenta and the angle between them with the
inclusion of the spin-isospin quantum numbers, without employing a partial wave
decomposition. In this formulation the two body t-matrices and triton wave
function are calculated in the three dimensional approach using AV18 potential.
In the first step we use the standard single nucleon current in this article
Low-momentum effective interaction in the three-dimensional approach
The formulation of the low-momentum effective interaction in the model space
Lee-Suzuki and the renormalization group methods is implemented in the
three-dimensional approach. In this approach the low-momentum effective
interaction V_{low k} has been formulated as a function of the magnitude of
momentum vectors and the angle between them. As an application the spin-isospin
independent Malfliet-Tjon potential has been used into the model space
Lee-Suzuki method and it has been shown that the low-momentum effective
interaction V_{low k} reproduces the same two-body observables obtained by the
bare potential V_{NN}.Comment: 15 pages, 5 eps figure
- …