On the correlation between the triton binding energy and the neutron-deuteron doublet scattering length

1988 ◽  
Vol 4 (2) ◽  
pp. 71-88 ◽  
Author(s):  
Vitaly Efimov ◽  
E. G. Tkachenko
Keyword(s):  
Binding Energy ◽  
Scattering Length ◽  
Triton Binding Energy

The Nuclear Three Body Problem with Phase Equivalent Separable Interactions

1975 ◽  
Vol 53 (18) ◽  
pp. 1749-1763 ◽  
Author(s):  
N. J. McGurk ◽  
H. Fiedeldey
Keyword(s):  
Binding Energy ◽  
Scattering Length ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Triton Binding Energy ◽  
Nucleon Interaction ◽  
Global Features ◽  
Nucleon Nucleon Interaction

The triton ground state energy and the neutron–deuteron doublet scattering length have been calculated with two families of phase equivalent separable interactions in the 1S0 and 3S1–3D1 states of the nucleon–nucleon interaction. Generating the interactions from a solution of the inverse scattering problem, a separable representation of the nucleon–nucleon interaction is fully exploited to fit the scattering and bound state data as well as possible. Off shell constraints on the interactions are then discussed. Results for the three nucleon quantities are compared to those obtained with realistic local and one boson exchange potentials. It is shown that all results for potentials obeying the known off shell constraints lie on the Phillips band, which appears to be independent of the potential model employed. This is a consequence of the fact that the triton binding energy and doublet scattering length are only sensitive to the broad detail of the nucleon–nucleon S matrix in the 1S0 and 3S1–3D1 states and to certain global features of the residues at the singlet deuteron and deuteron poles. Relatively large off shell variations in the triton binding energy and doublet scattering length along this Phillips band are possible and the plausibility that the experimental values could be fitted is discussed.

scholarly journals Quark-model based study of the triton binding energy

2002 ◽  
Vol 65 (3) ◽  
Author(s):  
B. Juliá-Díaz ◽  
J. Haidenbauer ◽  
A. Valcarce ◽  
F. Fernández
Keyword(s):  
Binding Energy ◽  
Quark Model ◽  
Triton Binding Energy ◽  
Model Based

Three-nucleon forces and the triton binding energy

1984 ◽  
Vol 30 (4) ◽  
pp. 1366-1369 ◽  
Author(s):  
S. A. Coon ◽  
M. T. Peña ◽  
R. G. Ellis
Keyword(s):  
Binding Energy ◽  
Triton Binding Energy

Mesic retardation and the triton binding energy

1988 ◽  
Vol 38 (3) ◽  
pp. 1397-1402 ◽  
Author(s):  
R. A. Brandenburg ◽  
G. S. Chulick ◽  
R. Machleidt ◽  
A. Picklesimer ◽  
R. M. Thaler
Keyword(s):  
Binding Energy ◽  
Triton Binding Energy

Measurements of polarized-neutron–polarized-proton scattering: Implications for the triton binding energy

1993 ◽  
Vol 71 (13) ◽  
pp. 1982-1985 ◽  
Author(s):  
W. S. Wilburn ◽  
C. R. Gould ◽  
D. G. Haase ◽  
P. R. Huffman ◽  
C. D. Keith ◽  
...  
Keyword(s):  
Binding Energy ◽  
Triton Binding Energy ◽  
Proton Scattering ◽  
Polarized Proton ◽  
Polarized Neutron

scholarly journals LORENTZ BOOSTED NUCLEON-NUCLEON T-MATRIX AND THE TRITON BINDING ENERGY

2009 ◽  
Vol 24 (11n13) ◽  
pp. 804-809 ◽  
Author(s):  
H. KAMADA ◽  
W. GLÖCKLE ◽  
H. WITAŁA ◽  
J. GOLAK ◽  
R. SKIBIŃSKI ◽  
...  
Keyword(s):  
Binding Energy ◽  
Nonlinear Equation ◽  
Faddeev Equation ◽  
Mass Operator ◽  
Nucleon Nucleon ◽  
Spin Rotation ◽  
Triton Binding Energy ◽  
Nucleon System ◽  
T Matrix

The phase equivalent relativistic NN potential, which is related by a nonlinear equation to the original nonrelativistic potential, is used to construct the mass operator (rest Hamiltonian) of the 3-nucleon system. Employing the CD Bonn NN potential, the solution of the relativistic 3N Faddeev equation for 3 H shows slightly less binding energy than the corresponding nonrelativistic result. The effect of the Wigner spin rotation on the binding is very small.

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