scholarly journals Separable Representation of the Nucleon-Nucleon Interaction in the 3S1?3D1 Channel

1973 ◽  
Vol 26 (6) ◽  
pp. 725 ◽  
Author(s):  
IR Afnan ◽  
JM Read
Keyword(s):  
Coupling Parameter ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Coupled Channels ◽  
Soft Core Potential ◽  
T Matrix ◽  
Nucleon Nucleon Interaction ◽  
Unitary Pole ◽  
Theory Calculation

A separable representation for the two-nucleon T-matrix in coupled channels has been obtained from a unitary pole expansion for the potential and the method has been tested with the Reid soft-core potential in the 3S,_3D1 channel. A 3-term expansion provides a T-matrix that is sufficiently accurate for a perturbation theory calculation of the three-nucleon bound state, while a IS-term expansion closely reproduces the exact T-matrix. In addition, a unitary pole approximation is presented that gives a better fit to the phase shifts and coupling parameter than that of Siebert et al. (1972).

The nucleon–nucleon interaction. I. Scalar mesons

1976 ◽  
Vol 54 (3) ◽  
pp. 322-332
Author(s):  
A. Z. Capri ◽  
D. Menon ◽  
R. Teshima
Keyword(s):  
Bound States ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Variational Calculation ◽  
Coupling Constant ◽  
Nucleon Interaction ◽  
Scalar Mesons ◽  
T Matrix ◽  
Nucleon Nucleon Interaction

The two-nucleon interaction, via the exchange of scalar mesons, is examined in a nonperturbative manner. 'Schrödinger' equations are derived, and nonlocal potentials arise naturally. Both scattering and bound states are examined. A half-off-shell T matrix is obtained, and corresponding phase shifts are evaluated. In the bound state, a variational calculation is employed to determine the coupling constant.

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 Nucleon-Nucleon Interaction at High Energies

1950 ◽  
Vol 5 (2) ◽  
pp. 318-318
Author(s):  
F. Fujimoto ◽  
S. Hayakawa ◽  
Y. Yamaguchi
Keyword(s):  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
High Energies ◽  
Nucleon Nucleon Interaction

Multimeson Resonances and Nucleon-Nucleon Interaction

1965 ◽  
Vol 138 (1B) ◽  
pp. B145-B162 ◽  
Author(s):  
A. Scotti ◽  
D. Y. Wong
Keyword(s):  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

scholarly journals Nucleon-nucleon interaction from pion-nucleon phase shift analysis

1973 ◽  
Vol 44 (1) ◽  
pp. 1-4 ◽  
Author(s):  
R. Vinh Mau ◽  
J.M. Richard ◽  
B. Loiseau ◽  
M. Lacombe ◽  
W.N. Cottingham
Keyword(s):  
Phase Shift ◽  
Nucleon Nucleon ◽  
Phase Shift Analysis ◽  
Nucleon Interaction ◽  
Shift Analysis ◽  
Pion Nucleon ◽  
Nucleon Nucleon Interaction
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