Renormalised two particle potential from field theory

1953 ◽  
Vol 10 (8) ◽  
pp. 1198-1200 ◽  
Author(s):  
W. Macke
Keyword(s):  
Field Theory ◽  
Particle Potential

Two-particle potential in field theory

1986 ◽  
Vol 64 (11) ◽  
pp. 1512-1513 ◽  
Author(s):  
Duncan Rogers ◽  
Mitchel D. Kovarik ◽  
Jurij W. Darewych
Keyword(s):  
Field Theory ◽  
Binding Energy ◽  
Weak Coupling ◽  
Scattering Amplitude ◽  
Bound State ◽  
Particle Scattering ◽  
Particle Potential ◽  
Particle Binding ◽  
Nonrelativistic Quantum Mechanics ◽  
The Many

The many-particle binding energy in the model [Formula: see text] in 1 + 1 dimensions is obtained using simple nonrelativistic quantum mechanics. We determine an effective two-particle potential from approximate field-theoretical solutions of the two-particle bound state and use it to obtain the many-particle binding energy. The results agree reasonably well with numerical calculations of the three- and four-particle binding energy in the field theory for weak coupling, λ. We also use this nonrelativistic potential to calculate the two-particle scattering amplitude.

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