The rho rho interaction in the hidden gauge formalism and the f(0)(1370) and f(2)(1270) resonances

Molina, R.; Nicmorus, D.; Oset, E.

doi:10.1103/PhysRevD.78.114018

The rho rho interaction in the hidden gauge formalism and the f(0)(1370) and f(2)(1270) resonances

R. Molina
(
- Valencia U. and
- Valencia U., IFIC
)
,
D. Nicmorus
(
- Graz U.
)
,
E. Oset
(
- Valencia U. and
- Valencia U., IFIC
)

Sep, 2008

23 pages

Published in:

Phys.Rev.D 78 (2008) 114018

e-Print:

0809.2233 [hep-ph]

DOI:

10.1103/PhysRevD.78.114018

Report number:

FTUV-12-0908,
IFIC-12-0908

View in:

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Abstract: (arXiv)

We have studied the interaction of vectors mesons within the hidden gauge formalism and applied it to the particular case of the

\rho \rho

interaction. We find a strong attraction in the isospin, spin channels I,S=0,0 and 0,2, which is enough to bind the

\rho \rho

system. We also find that the attraction in the I,S=0,2 channel is much stronger than in the 0,0 case. The states develop a width when the

\rho

mass distribution is considered, and particularly when the

\pi \pi

decay channel is turned on. Using a regularization scheme with cut offs of natural size, we obtain results in fair agreement with the mass and the width of the

f_0(1370)

and

f_2(1270)

meson states, providing a natural explanation of why the tensor state is more bound than the scalar and offering a new picture for these states, which would be dynamically generated from the

\rho \rho

interaction or, in simpler words,

\rho \rho

molecular states.

14.40.Cs
12.40.Yx
12.40.Vv
13.75.Lb
exchange: two-pion
rho(770): mass spectrum
f0(1370): hadronic decay
f2(1270): hadronic decay
meson meson: interaction
coupling: (rho(770)+ rho(770)-)

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