Novel feature of the vector meson solution in the Nambu-Jona-Lasinio model - INSPIRE

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Novel feature of the vector meson solution in the Nambu-Jona-Lasinio model

M. Takizawa
(
- Sophia U. and
- South Carolina U.
)
,
K. Kubodera
(
- Sophia U. and
- South Carolina U.
)
,
F. Myhrer
(
- Sophia U. and
- South Carolina U.
)

1991

8 pages

Published in:

Phys.Lett.B 261 (1991) 221-228

Published: 1991

DOI:

10.1016/0370-2693(91)90318-K

View in:

ADS Abstract Service

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Abstract: (Elsevier)

Based on the extended Nambu-Jona-Lasinio model, we study the meson spectrum, in particular, the vector-meson masses (1) by solving the Bethe-Salpeter equation and (2) by using a spectral-function method which has been recently proposed by several authors. The two approaches give very different behaviors of the vector mesons when the vector-channel becomes too weak to support bound-state solutions. The solution of the Bethe-Salpeter equation changes smoothly from a bound state to a “virtual-state” solution reminiscent of an s-wave virtual state in the nonrelativistic potential problem. We discuss why this behaviour is missing in a spectral-function method used recently in the literature.

Jona-Lasinio-Nambu model
vector meson: mass spectrum
mass spectrum: vector meson
Bethe-Salpeter equation
spectral representation
numerical calculations

References(18)

Figures(0)

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