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Taming the Two Pion Exchange Three Nucleon Potential

M.R. Robilotta
(
- Sao Paulo U.
)
,
H.T. Coelho
(
- Pernambuco U.
)

1986

30 pages

Published in:

Nucl.Phys.A 460 (1986) 645-674

Published: 1986

DOI:

10.1016/0375-9474(86)90530-0

reference search74 citations

Citations per year

Abstract: (Elsevier)

In this work we argue that the two-pion exchange three-nucleon potential obtained by means of chiral symmetry has to be modified in order to allow reliable results to be obtained from realistic calculations. We do this by discussing the main ideas used in the construction of the potential for the case of point-like nucleons. The relevance of chiral symmetry is shown to be independent of whether it is implemented by means of current algebra or effective lagrangians. We argue that the inclusion of form factors into the potential distorts its form in a rather large region around the origin, violating our expectation that it should just produce modifications at small internucleon distances. The cause of this peculiar behaviour is traced back to a term in the potential that becomes a δ-function in the absence of form factors and which can be interpreted as a “contact” interaction between extended nucleons. The taming of the two-pion exchange three-nucleon potential is achieved by redefining it in such a way as to exclude contact interactions.

NUCLEON: THREE-BODY PROBLEM
POTENTIAL
EXCHANGE: TWO-PION
TWO-PION: EXCHANGE
PI NUCLEON: INTERACTION
INTERACTION: PI NUCLEON
CURRENT ALGEBRA
SYMMETRY: CHIRAL
FORM FACTOR
NUCLEON: EXTENDED PARTICLE

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Figures(0)

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