Relation Between the Pion-Nucleon and the $ρ$ -Meson Coupling Constants from Pion Scattering Lengths

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5 September 1966

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 17 (10) , 552-553
https://doi.org/10.1103/physrevlett.17.552

Abstract

The scattering length of a pion on an isospin-bearing target can be computed either by applying the U(2)⊗U(2) current algebra or by assuming

ρ

dominance in the

t

channel. Comparing the two approaches, we establish

(\frac{{f_{ρ}}^{2}}{4 π}) = (\frac{{G_{π NN}}^{2}}{4 π}) {(\frac{g_{V}}{g_{A}})}^{2} (\frac{{m_{ρ}}^{2}}{2 {m_{N}}^{2}}),

a relation previously obtained on the basis of current algebra applied to

ρ \to 2 π

.

Keywords

This publication has 9 references indexed in Scilit:

Algebra of Current Components and Decay Widths of $ρ$ and $K^{*}$ Mesons
Physical Review B, 1966
Partially Conserved Axial-Vector Current and the Decays of Vector Mesons
Physical Review Letters, 1966
Spin and Unitary Spin Independence of Strong Interactions
Physical Review Letters, 1964
Symmetries of Baryons and Mesons
Physical Review B, 1962
Form Factors and Vector Mesons
Physical Review B, 1961
Theory of strong interactions
Annals of Physics, 1960
On the decay rate of the charged pion
Il Nuovo Cimento (1869-1876), 1960
The axial vector current in beta decay
Il Nuovo Cimento (1869-1876), 1960
Axial Vector Current Conservation in Weak Interactions
Physical Review Letters, 1960