scholarly journals Analytical forms of the deuteron wave function for Nijmegen group potentials and polarization characteristics of A(d,d′)X reactions

2018 ◽  
Vol 33 (27) ◽  
pp. 1850160 ◽  
Author(s):  
Viktor Ivanovich Zhaba
Keyword(s):  
Wave Function ◽  
Deuteron Wave Function ◽  
Impulse Approximation ◽  
Analytical Form ◽  
Nucleon Nucleon ◽  
Coordinate Space ◽  
Plane Wave Impulse Approximation ◽  
Analyzing Powers ◽  
Vector Formula ◽  
Tensor Formula

Polarization observables of the [Formula: see text] reactions have been calculated according to the received coefficients of the analytical form for deuteron wave function (DWF) in coordinate space for the nucleon–nucleon Nijmegen group potentials (NijmI, NijmII and Nijm93). The obtained values of tensor [Formula: see text] and vector [Formula: see text] analyzing powers have been compared with the published experimental data at [Formula: see text]-scaling for the inelastic scattering of deuterons on hydrogen, carbon and beryllium. Theoretical values of tensor–tensor [Formula: see text] and vector–vector [Formula: see text] polarization transfers have also been evaluated in the plane-wave impulse approximation.

scholarly journals New analytical forms of wave function in coordinate space and tensor polarization of deuteron

2016 ◽  
Vol 31 (25) ◽  
pp. 1650139 ◽  
Author(s):  
V. I. Zhaba
Keyword(s):  
Wave Function ◽  
Deuteron Wave Function ◽  
Theoretical Data ◽  
Wave Functions ◽  
Coordinate Space ◽  
Tensor Polarization ◽  
Good Agreement

The coefficients of new analytical forms for the deuteron wave function (DWF) in coordinate space for NijmI, NijmII, Nijm93, Reid93 and Argonne v18 potentials have been numerically calculated. The obtained wave functions do not contain any superfluous knots. The designed parameters of the deuteron are in good agreement with the experimental and theoretical data. The tensor polarization [Formula: see text] calculated based on the wave functions is proportionate to the earlier published results.

Asymptotic of the deuteron wave function in the coordinate representation and the charge deuteron form factor at large momentums

2021 ◽  
pp. 2150085
Author(s):  
V. I. Zhaba
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Deuteron Wave Function ◽  
Radial Wave Function ◽  
Nucleon Nucleon ◽  
Radial Wave ◽  
Nucleon Potential ◽  
Coordinate Representation ◽  
Deuteron Form Factor ◽  
The Difference

Numerical modeling of the deuteron wave function in the coordinate representation for the phenomenological nucleon–nucleon potential Argonne v18 has been performed. For this purpose, the asymptotic behavior of the radial wave function has been taken into account near the origin of coordinates and at infinity. The charge deuteron form factor [Formula: see text], depending on the transmitted momentums up to [Formula: see text], has been calculated employing five models for the deuteron wave function. A characteristic difference in calculations of [Formula: see text] is observed near the positions of the first and second zero. The difference between the obtained values for [Formula: see text] form factor has been analyzed using the values of the ratios and differences for the results. Obtained outcomes for charge deuteron form factor at large momentums may be a prediction for future experimental data.

scholarly journals Application of DFT and EMS to the Study of Strained Organic Molecules

1998 ◽  
Vol 51 (4) ◽  
pp. 707 ◽  
Author(s):  
W. Adcock ◽  
M. J. Brunger ◽  
M. T. Michalewicz ◽  
D. A. Winkler
Keyword(s):  
Wave Function ◽  
Density Functional ◽  
Impulse Approximation ◽  
Basis Sets ◽  
Functional Theory ◽  
Electron Momentum ◽  
Plane Wave Impulse Approximation ◽  
Electron Momentum Spectroscopy ◽  
Momentum Distributions ◽  
Self Consistent Field

Electron momentum spectroscopy (EMS) studies of the valence shells of [1.1.1]propellane, 1,3-butadiene, ethylene oxide and cubane are reviewed. Binding energy spectra were measured in the energy regime of 3·5–46·5 eV over a range of different target electron momenta, so that momentum distributions (MDs) could be determined for each ion state. Each experimental electron momentum distribution is compared with those calculated in the plane wave impulse approximation (PWIA) using both a triple-? plus polarisation level self-consistent field (SCF) wave function and a further range of basis sets as calculated using density functional theory (DFT). A critical comparison between the experimental and theoretical momentum distributions allows us to determine the ‘optimum’ wave function for each molecule from the basis sets we studied. This ‘optimum’ wave function then allows us to investigate chemically or biologically significant molecular properties of these molecules. EMS-DFT also shows promise in elucidating the character of molecular orbitals and the hybridisation state of atoms.

Modeling of the deuteron wave function in coordinate representation and calculations of polarization characteristics

2021 ◽  
Vol 67 (1 Jan-Feb) ◽  
pp. 137
Author(s):  
V. I. Zhaba
Keyword(s):  
Wave Function ◽  
Deuteron Wave Function ◽  
Radial Wave Function ◽  
Nucleon Nucleon ◽  
Radial Wave ◽  
Nucleon Potential ◽  
Coordinate Representation ◽  
General Behavior ◽  
Polarization Characteristics ◽  
Analyzing Power

Modeling of the deuteron wave function in coordinate representation for the nucleon-nucleon potential Reid93 were performed. For this purpose, the asymptotics of the radial wave function near the origin of coordinates and at infinity are taken into account. The most simple and physical asymptotics were applied. In this case, the superfluous knots of both components of the deuteron wave function for the coordinate value r=0.301 fm were compensated. Taking into account the asymptotics of the wave function has little effect on the general behavior of the calculated polarization characteristics of t20 and Ауу. Particular points of the transmitted momentum have been identified, where the tensor deuteron polarization t20 and the tensor analyzing power Ауу show a clear difference.

scholarly journals Polarized-deuteron stripping reaction at intermediate energies

2016 ◽  
Vol 25 (11) ◽  
pp. 1650095
Author(s):  
Valery I. Kovalchuk
Keyword(s):  
Cross Sections ◽  
Deuteron Wave Function ◽  
Nucleon Nucleon ◽  
Folding Potential ◽  
Analyzing Powers ◽  
Intermediate Energies ◽  
The Cross ◽  
Deuteron Stripping ◽  
Double Folding ◽  
Analytical Expressions

A general analytical expressions for the cross-section and the polarization of nucleons arising in the inclusive deuteron stripping reaction have been derived in the diffraction approximation. The nucleon–nucleus phases were calculated in the framework of Glauber formalism and making use of the double-folding potential. The tabulated distributions of the target nucleus density and the realistic deuteron wave function with correct asymptotic at large nucleon–nucleon distances were used. The calculated angular dependences for the cross-sections and the analyzing powers of the [Formula: see text] reaction are compared with corresponding experimental data.

DEUTERON: WAVE FUNCTION AND PARAMETERS

2014 ◽  
Vol 36 (0) ◽  
pp. 100-106 ◽  
Author(s):  
І. І. Гайсак ◽  
В. І. Жаба
Keyword(s):  
Wave Function ◽  
Deuteron Wave Function

Charge exchange reactions on medium and heavy mass targets at intermediate energies

2019 ◽  
Vol 35 (08) ◽  
pp. 2050045
Author(s):  
Pardeep Singh ◽  
Monika Singh ◽  
Neha Rani
Keyword(s):  
Charge Exchange ◽  
Cross Sections ◽  
Energy Charge ◽  
Impulse Approximation ◽  
Mass Region ◽  
Intermediate Energy ◽  
Exchange Reactions ◽  
Plane Wave Impulse Approximation ◽  
Text Type ◽  
Intermediate Energies

The nuclear isotopic structure can be understood easily via the intermediate-energy charge exchange reactions of (p, n) and [Formula: see text]He, [Formula: see text] type. In the current contribution, we present some results for charge exchange reactions induced by 3He on targets lying in mass region [Formula: see text] within the theoretical framework of plane wave impulse approximation (PWIA) and distorted wave impulse approximation (DWIA). Here, the recoil effects in PWIA have also been considered. Particularly, the angular distributions and the unit cross-sections have been calculated and compared with the available data. Further, the importance of inclusion of the exchange contribution in these reactions is also considered, which eventually enhance the matching with data.

scholarly journals Initial Research of np Scattering with Polarized Deuterium Target at ANKE/COSY

2016 ◽  
Vol 40 ◽  
pp. 1660058
Author(s):  
B. Gou
Keyword(s):  
Proton Energy ◽  
Impulse Approximation ◽  
Deuteron Beam ◽  
Charge Exchange Reaction ◽  
Analyzing Powers ◽  
Deuterium Target ◽  
Energy Formula ◽  
Reported Data ◽  
Initial Research ◽  
Proof Of Principle

The quasi-free np charge-exchange reaction [Formula: see text] has to be employed to extend the investigations of np scattering at ANKE to the highest energy available at COSY. As the proof-of-principle experiment, the initial research has been conducted at proton energy [Formula: see text] MeV using a polarized Deuterium target. The vector and tensor analyzing powers [Formula: see text] and [Formula: see text] were measured for momentum transfers [Formula: see text] MeV/c. These data connect smoothly with the previous measurements at [Formula: see text] MeV/c performed using a polarized deuteron beam. The reported data are well reproduced by the impulse approximation using the SAID np amplitudes. The results therefore proves that it is possible to continue the np programme at higher energies at ANKE.

Nucleon-antinucleon interaction in the new Tamm-Dancoff approximation

1960 ◽  
Vol 257 (1288) ◽  
pp. 59-73
Keyword(s):  
Integral Equation ◽  
Wave Function ◽  
Cross Sections ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Exchange Term ◽  
Total Cross Sections ◽  
Nucleon Wave Function ◽  
Usual Manner ◽  
Order Of Magnitude

The nucleon-antinucleon ( N-N ) problem is formulated in the new Tamm-Dancoff (NTD) approximation in the lowest order, and the integral equation for N-N̅ scattering derived, taking account of both the exchange and annihilation interactions. It is found convenient to represent the N-N̅ wave-function as a 4 x 4 matrix, rather than the usual 16 x 1 matrix for the nucleon-nucleon wave-function, and a complete correspondence is established between these two representations. The divergences associated with the annihilation interaction and their renormalization are discussed in detail in the following paper (Mitra & Saxena 1960; referred to as II). The integral equation with the exchange interaction alone, is then separated into eigenstates of T, J, L and S in the usual manner and the various phase shifts obtained. The results of II for the contribution of the annihilation term are then used to calculate the complete phase shifts from which the various cross-sections (scattering and charge exchange) are derived. The results indicate that while the exchange term alone gives too small values for the total cross-sections versus energy, inclusion of the annihilation interaction without renormalization effects makes the cross-sections nearly three times larger than those observed. On the other hand, inclusion of the finite effects of renormalization (which manifest themselves essentially as a suppression of the virtual meson propagator) brings down these cross-sections to the order of magnitude of the observed ones.

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