Triton binding energy and the deuteron wave function

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.

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Non-central forces in the nuclear two-body problem

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1942.0057 ◽

1942 ◽

Vol 181 (984) ◽

pp. 43-57 ◽

Cited By ~ 5

Keyword(s):

Wave Function ◽

Binding Energy ◽

Body Problem ◽

Deuteron Wave Function ◽

Magnetic Moments ◽

Two Body Problem ◽

Photo Effect ◽

Central Forces

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.

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DEUTERON: WAVE FUNCTION AND PARAMETERS

Scientific Herald of Uzhhorod University Series Physics ◽

10.24144/2415-8038.2014.36.100-106 ◽

2014 ◽

Vol 36 (0) ◽

pp. 100-106 ◽

Cited By ~ 3

Author(s):

І. І. Гайсак ◽

В. І. Жаба

Keyword(s):

Wave Function ◽

Deuteron Wave Function

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Quark-model based study of the triton binding energy

Physical Review C ◽

10.1103/physrevc.65.034001 ◽

2002 ◽

Vol 65 (3) ◽

Cited By ~ 17

Author(s):

B. Juliá-Díaz ◽

J. Haidenbauer ◽

A. Valcarce ◽

F. Fernández

Keyword(s):

Binding Energy ◽

Quark Model ◽

Triton Binding Energy ◽

Model Based

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POSITRONIUM DECAY: GAUGE INVARIANCE AND ANALYTICITY

International Journal of Modern Physics A ◽

10.1142/s0217751x02009606 ◽

2002 ◽

Vol 17 (10) ◽

pp. 1355-1398 ◽

Cited By ~ 6

Author(s):

J. PESTIEAU ◽

C. SMITH ◽

S. TRINE

Keyword(s):

Wave Function ◽

Form Factor ◽

Binding Energy ◽

Gauge Invariance ◽

Dispersion Relations ◽

Decay Rates ◽

Effective Form ◽

Theoretical Predictions ◽

Positronium Decay ◽

Analysis Of Binding Energy

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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