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.

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).

scholarly journals A Phenomenological Nucleon-Nucleon Interaction

1986 ◽  
Vol 39 (4) ◽  
pp. 461 ◽  
Author(s):  
L Berge ◽  
L Petris
Keyword(s):  
Elastic Scattering ◽  
Momentum Space ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Nucleon Interaction ◽  
Dependent Form ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

A phenomenological NN interaction has been developed in momentum space to fit the elastic scattering phase shifts, the deuteron properties and to saturate nuclear matter. The special features of this interaction are gaussian momentum dependent form factors and the use of only three mesons to characterise the phase shifts.

The nucleon–nucleon interaction. II. Pseudoscalar mesons

1976 ◽  
Vol 54 (3) ◽  
pp. 333-341
Author(s):  
A. Z. Capri ◽  
D. Menon ◽  
R. Teshima
Keyword(s):  
Experimental Data ◽  
Realistic Model ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Scalar Mesons ◽  
Pseudoscalar Mesons ◽  
Spin Singlet ◽  
Nucleon Nucleon Interaction ◽  
Isospin Triplet

An earlier paper examined the role of scalar mesons in the nucleon–nucleon interaction. A more realistic model, with pseudoscalar mesons, is studied here. Unlike previous treatments of this problem, this approach seems to yield more repulsion than would be required to reproduce experimental data. Calculations are performed on the spin singlet, isospin triplet state; a brief discussion of the deuteron channel and the resulting potentials is also included.

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 THE SHORT RANGE MECHANISM OF N-N INTERACTION IN THE EXTENDED CHIRAL SU(3) QUARK MODEL

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1994-1997 ◽  
Author(s):  
L. R. DAI ◽  
Z. Y. ZHANG ◽  
Y. W. YU
Keyword(s):  
Vector Meson ◽  
Quark Model ◽  
Short Range ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Short Range Interaction ◽  
Nucleon Interaction ◽  
Range Interaction ◽  
Nucleon Nucleon Interaction

We give the comparisons between the chiral SU (3) quark model and the extended chiral SU (3) quark model. The results show that the phase shifts of NN scattering are very similar. However, the short range mechanisms of nucleon-nucleon interaction are totally different. In the chiral SU (3) quark model, the short range interaction is dominantly from OGE, and in the extended chiral SU (3) quark model, it is dominantly from vector meson exchanges.

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