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QFTHEP' 2013 June 23 ­ June 30, 2013 Saint Petersburg Area, Russia

The construction of the electromagnetic current operator for the rho-meson decay process in the instant form of the Poincareinvariant quantum mechanics
Krutov .F., Polezhaev R.G.

Samara State University, Russia
St.


Poincare-invariant quantum mechanics

1

· Construction of the electromagnetic current operator with conditions of current conservation and Lorentz ­ covariance. · Good description of the meson electroweak properties of meson and deuteron.
Q2 · Asymptotic of the electromagnetic form factors at

coinciding with predictions QCD and quark counting rules.

1

A.F. Krutov, V.E. Troitsky. Physics of Particles and Nuclei. Vol. 40, 2009, 136


Description of the processes with spin-diagonal matrix element
(1)
modified impulse approximation


Free electromagnetic form factor with (J=J'= L=L'= S=S' =0)
(2)


Invariant parameterization of the e.m. current for the two particles system (non-diagonal case)
Breit system

(3)

(4)


Invariant parameterization of the e.m. current for the two particles system (non-diagonal case)
the transition to the canonical basis

k 1,2,3

1 2 ak i 3 0

0 0 2

1 i 0

(5)

(6)


The relevance of the radiative transition Decay

Experimental information

Theoretical information

Extraction of the pion-in-flight contribution from the elecroproduction cross section of vector mesons of the nuclei

Analysis of values of the squared fourmomentum transfer for description of exclusive processes


Free non-diagonal form factors

(7)


Free non-diagonal form factors
In one-particle basis:

(8)

(9)

(10)


Form factor of the free system

(11)

Form factor of the composite system
(12)


Transition form factors measured in experiment

(13)

(14)


Conclusions
Matrix element of the electromagnetic current was constructed for the non-diagonal case in the instant form of PIQM in the impulse approximation.
The electromagnetic current satisfies the conservation law and Lorentz-covariance conditions

Analytic expression was obtained for the transition form factors in the radiative decay rho meson.