17 research outputs found
A New Treatment of 2N and 3N Bound States in Three Dimensions
The direct treatment of the Faddeev equation for the three-boson system in 3
dimensions is generalized to nucleons. The one Faddeev equation for identical
bosons is replaced by a strictly finite set of coupled equations for scalar
functions which depend only on 3 variables. The spin-momentum dependence
occurring as scalar products in 2N and 3N forces accompanied by scalar
functions is supplemented by a corresponding expansion of the Faddeev
amplitudes. After removing the spin degrees of freedom by suitable operations
only scalar expressions depending on momenta remain. The corresponding steps
are performed for the deuteron leading to two coupled equations.Comment: 19 page
Evaluasi Prasyarat Keberhasilan Sistem Resi Gudang di Kabupaten Bantul
During 2011-2016, there was a decreasing trend of warehouse receipt sistem (WRS) transactions in Bantul regency and the participants of the WRS came from a small part of the districts. This condition indicated that there was an unfulfilled prerequisites for success of the WRS. This study aims to identify the role of stakeholders in the implementation of WRS and evaluate the prerequisites for success of WRS in Bantul regency. The research was conducted by in-depth interviews to stakeholders of the WRS. Data analysis was done using descriptive method. The result showed that stakeholders that have a big role in increasing warehouse receipts transactions were warehouse manager and department of trade. The increasing of production was a prerequisite that reinforces the existence of WRS in Bantul regency. The success of the WRS were depends on two prerequisite of the commitment of local government and education and socialization to farmers. These findings indicate the need for the local governments to supports programs related to WRS and to intensify the dissemination of WRS to farmers in potential villages
Four-Body Bound State Calculations in Three-Dimensional Approach
The four-body bound state with two-body interactions is formulated in
Three-Dimensional approach, a recently developed momentum space representation
which greatly simplifies the numerical calculations of few-body systems without
performing the partial wave decomposition. The obtained three-dimensional
Faddeev-Yakubovsky integral equations are solved with two-body potentials.
Results for four-body binding energies are in good agreement with achievements
of the other methods.Comment: 29 pages, 2 eps figures, 8 tables, REVTeX
3N Scattering in a Three-Dimensional Operator Formulation
A recently developed formulation for a direct treatment of the equations for
two- and three-nucleon bound states as set of coupled equations of scalar
functions depending only on vector momenta is extended to three-nucleon
scattering. Starting from the spin-momentum dependence occurring as scalar
products in two- and three-nucleon forces together with other scalar functions,
we present the Faddeev multiple scattering series in which order by order the
spin-degrees can be treated analytically leading to 3D integrations over scalar
functions depending on momentum vectors only. Such formulation is especially
important in view of awaiting extension of 3N Faddeev calculations to
projectile energies above the pion production threshold and applications of
chiral perturbation theory 3N forces, which are to be most efficiently treated
directly in such three-dimensional formulation without having to expand these
forces into a partial wave basis.Comment: 25 pages, 0 figure
Two-Nucleon Scattering without partial waves using a momentum space Argonne V18 interaction
We test the operator form of the Fourier transform of the Argonne V18
potential by computing selected scattering observables and all Wolfenstein
parameters for a variety of energies. These are compared to the GW-DAC database
and to partial wave calculations. We represent the interaction and transition
operators as expansions in a spin-momentum basis. In this representation the
Lippmann-Schwinger equation becomes a six channel integral equation in two
variables. Our calculations use different numbers of spin-momentum basis
elements to represent the on- and off-shell transition operators. This is
because different numbers of independent spin-momentum basis elements are
required to expand the on- and off-shell transition operators. The choice of on
and off-shell spin-momentum basis elements is made so that the coefficients of
the on-shell spin-momentum basis vectors are simply related to the
corresponding off-shell coefficients.Comment: 14 pages, 8 Figures, typos correcte
Nucleon-Nucleon Scattering in a Three Dimensional Approach
The nucleon-nucleon (NN) t-matrix is calculated directly as function of two
vector momenta for different realistic NN potentials. To facilitate this a
formalism is developed for solving the two-nucleon Lippmann-Schwinger equation
in momentum space without employing a partial wave decomposition. The total
spin is treated in a helicity representation. Two different realistic NN
interactions, one defined in momentum space and one in coordinate space, are
presented in a form suited for this formulation. The angular and momentum
dependence of the full amplitude is studied and displayed. A partial wave
decomposition of the full amplitude it carried out to compare the presented
results with the well known phase shifts provided by those interactions.Comment: 26 pages plus 10 jpg figure
Deuteron disintegration in three dimensions
We compare results from the traditional partial wave treatment of deuteron
electro-disintegration with a new approach that uses three dimensional
formalism. The new framework for the two-nucleon (2N) system using a complete
set of isospin - spin states made it possible to construct simple
implementations that employ a very general operator form of the current
operator and 2N states.Comment: 24 pages, 15 eps figure
A Three-Dimensional Treatment of the Three-Nucleon Bound State
Recently a formalism for a direct treatment of the Faddeev equation for the
three-nucleon bound state in three dimensions has been proposed. It relies on
an operator representation of the Faddeev component in the momentum space and
leads to a finite set of coupled equations for scalar functions which depend
only on three variables. In this paper we provide further elements of this
formalism and show the first numerical results for chiral NNLO nuclear forces.Comment: 25 pages, 7 figures (34 eps files
Different Methods for the Two-Nucleon T-Matrix in the Operator Form
We compare three methods to calculate the nucleon-nucleon t-matrix based on
the three-dimensional formulation of J. Golak et al., Phys. Rev. C 81, 034006,
(2010). In the first place we solve a system of complex linear inhomogeneous
equations directly for the t-matrix. Our second method is based on iterations
and a variant of the Lanczos algorithm. In the third case we obtain the
t-matrix in two steps, solving a system of real linear equations for the
k-matrix expansion coefficients and then solving an on-shell equation, which
connects the scalar coefficients of the k- and t-matrices. A very good
agreement among the three methods is demonstrated for selected nucleon-nucleon
scattering observables using a chiral next-to-next-to-leading-order
neutron-proton potential. We also apply our three-dimensional framework to the
demanding problem of proton-proton scattering, using a corresponding version of
the nucleon-nucleon potential and supplementing it with the (screened) Coulomb
force, taken also in the three-dimensional form. We show converged results for
two different screening functions and find a very good agreement with other
methods dealing with proton-proton scattering.Comment: 18 pages, 10 figures (54 eps files