scholarly journals Partly non-local potentials in the model triton

1977 ◽  
Vol 55 (10) ◽  
pp. 884-897 ◽  
Author(s):  
Dale D. Ellis

Binding energy, ET, wave function, form factor, and asymptotic normalization constant, CT, have been calculated for the model triton using two classes of phase equivalent potentials: partly non-local (PNL) potentials, and rank-two separable potentials. The results are compared with those of Fiedeldey. The binding energy is sensitive to the deuteron wave function and zero-energy wound integral. The triton form factors depend on ET and the deuteron wave function. CT is almost insensitive to variations in the PNL potentials, but increases with ET for the separable potentials.

1974 ◽  
Vol 11 (3) ◽  
pp. 238-242 ◽  
Author(s):  
H. de Groot ◽  
H. J. Boersma

2005 ◽  
Vol 14 (07) ◽  
pp. 1073-1085 ◽  
Author(s):  
YU. A. BEREZHNOY ◽  
V. YU. KORDA ◽  
A. G. GAKH

We obtained a nonrelativistic deuteron wave function that accounts for the D-state and has correct asymptotic behavior. This was achieved on the basis of the experimentally measured charge and quadrupole deuteron form factors. The differential cross section of the elastic deuteron-nucleus scattering has been calculated by using this wave function. These predictions agree with the experimental data at the energy of 110 MeV. The integrated cross sections of the various processes involving the deuteron-nucleus interactions were also calculated.


The nuclear two-body problem is discussed on the assumption that the range of the forces is small compared with the size of the deuteron, but without specific assumptions about the forces. Using the values for the binding energy of the deuteron and its electric quadripole moment from observation, and eliminating a possible ambiguity in the deuteron wave function by means of the observed magnetic moments, it is found that the formulae for the electric and magnetic photo-effect in the deuteron remain the same as for central forces, with only minor modifications. The same is found for the scattering of neutrons by protons at energies of a few MV or less.


2010 ◽  
Vol 19 (08n10) ◽  
pp. 1703-1709 ◽  
Author(s):  
G. A. CONTRERA ◽  
M. ORSARIA ◽  
N. N. SCOCCOLA

We analyze the chiral restoration and deconfinement transitions in the framework of a non-local chiral quark model which includes terms leading to the quark wave function renormalization, and takes care of the effect of gauge interactions by coupling the quarks with the Polyakov loop. Non-local interactions are described by considering both a set of exponential form factors, and a set of form factors obtained from a fit to the mass and renormalization functions obtained in lattice calculations.


Author(s):  
І. І. Гайсак ◽  
В. І. Жаба

2002 ◽  
Vol 17 (10) ◽  
pp. 1355-1398 ◽  
Author(s):  
J. PESTIEAU ◽  
C. SMITH ◽  
S. TRINE

The construction of positronium decay amplitudes is handled through the use of dispersion relations. In this way, emphasis is put on basic QED principles: gauge invariance and soft-photon limits (analyticity).A firm grounding is given to the factorization approaches, and some ambiguities in the spin and energy structures of the positronium wave function are removed. Nonfactorizable amplitudes are naturally introduced. Their dynamics are described, especially regarding the enforcement of gauge invariance and analyticity through delicate interferences. The important question of the completeness of the present theoretical predictions for the decay rates is then addressed. Indeed, some of those nonfactorizable contributions are unaccounted for by NRQED analyses. However, it is shown that such new contributions are highly suppressed, being of [Formula: see text].Finally, a particular effective form factor formalism is constructed for parapositronium, allowing a thorough analysis of binding energy effects and analyticity implementation.


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