Two-Nucleon Potential from Pion Field Theory with Pseudoscalar Coupling

1960 ◽  
Vol 117 (2) ◽  
pp. 605-610 ◽  
Author(s):  
Masao Sugawara ◽  
Susumu Okubo
1960 ◽  
Vol 117 (2) ◽  
pp. 611-613 ◽  
Author(s):  
Masao Sugawara ◽  
Susumu Okubo

1961 ◽  
Vol 20 (S2) ◽  
pp. 157-220 ◽  
Author(s):  
R. Cirelli ◽  
G. Stabilini

2000 ◽  
Vol 09 (02) ◽  
pp. 157-168 ◽  
Author(s):  
K. KABIR ◽  
T. K. DATTA ◽  
MUSLEMA PERVIN ◽  
L. M. NATH

In this paper we have studied the two-pion exchange three-nucleon potential (2πE-3NP) using an approximate SU(2)×SU(2) chiral symmetry of the strong interaction. The off-shell pion-nucleon scattering amplitudes obtained from the Weinberg Lagrangian are supplemented with contributions from the well-known σ-term and the Δ(1232) exchange. It is the role of the Δ-resonance in 2πE-3NP, which we have investigated in detail in the framework of the Lagrangian field theory. The Δ-contribution is quite appreciable and, more significantly, it is dependent on a parameter Z which is arbitrary but has the empirical bounds |Z|≤1/2. We find that the Δ-contribution to the important parameters of the 2πE-3NP depends on the choice of a value for Z, although the correction to the binding energy of triton is not expected to be very sensitive to the variation of Z within its bounds.


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