The VPP-interaction form factor and the low-energy theorems in the effective chiral Lagrangians based on the extended Nambu-Jona-Lasinio model

Journal Article · Mon Sep 30 00:00:00 EDT 1991 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X91001982· OSTI ID:5548356

Ivanov, A N ^[1]

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1. Inst. fuer Theoretische Physik der Univ. Bern, 3012 Bern (CH)

In this paper the problem of simultaneous description of the low-energy theorems for the {pi}{pi}-scattering amplitude and that which connects the {gamma} {yields} 3{pi} and {pi}{sup 0} {yields} {gamma}{gamma} decay amplitudes is discussed in the framework of the effective chiral Lagrangians. It is shown that to satisfy these low-energy theorems it is necessary to shift the vector-meson fields. This shift leads to the nontrivial form factor of the VPP interaction, which vanishes at the low-energy limit. An additional result of this shift is the appearance of unphysical interactions from the effective Wess-Zumino Lagrangian, which slightly violate low-energy theorems. It is shown that these interactions can be removed which slightly violate low-energy theorems. It is shown that these interactions can be removed by the regularization procedure in the framework of the extended Nambu-Jona-Lasinio model, which reproduces completely all low-energy phenomenological vertices of meson interactions in the effective chiral Lagrangians in terms of one-loop diagrams with virtual constituent quarks.

• OSTI ID: 5548356
• Journal Information: International Journal of Modern Physics A; (United States), Vol. 6:23; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PION-PION INTERACTIONS
SCATTERING AMPLITUDES
PIONS NEUTRAL
PARTICLE DECAY
CHIRAL SYMMETRY
ENERGY DEPENDENCE
LAGRANGIAN FUNCTION
QUARKS
SIMULATION
VECTOR MESONS
VERTEX FUNCTIONS
AMPLITUDES
BOSONS
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ELEMENTARY PARTICLES
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HADRONS
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MESON-MESON INTERACTIONS
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