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Variational calculation of the phase shifts in the lambda Phi**4 model

1994

4 pages

Published in:

Phys.Rev.D 49 (1994) 5625-5628

DOI:

10.1103/PhysRevD.49.5625

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Abstract: (APS)

In this paper, we develop Schiff's discretization procedure for calculating the phase shifts in the λφ4 model in (D+1)-dimensional space-time (D>0) with the Gaussian wave-functional approach. In 1+1 and 2+1 dimensions, the phase shifts are negative, which indicates the interaction between two pions is repulsive. In 3+1 dimensions, the phase shifts vanish. We also discuss the dependences of the phase shifts upon the scattering energy in detail.

phi**n model: 4
partial wave
wave function
dimension: 2-4
scattering: two-particle
two-particle: scattering
mathematical methods: variational

References(22)

Figures(0)

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