The non-adiabatic method with a neutral pseudo-scalar meson field

Soliton solutions are studied as a generalization of the bosonized Nambu-Jona-Lasinio model with a fourth order term in the scalar meson field. Such an interaction arises in the context of a scale-invariant modification of the Nambu-Jona-Lasinio action, in which the scalar meson field is coupled to a scalar glueball field. It is shown that a fourth order term in the scalar meson field is crucial for the existence of stable solitons. We investigate the dependence of soliton properties on the scalar-glueball coupling.

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THE ROLE OF SELF-COUPLINGS OF SCALAR MESONS IN NEUTRON STAR MATTER

Modern Physics Letters A ◽

10.1142/s0217732302007727 ◽

2002 ◽

Vol 17 (21) ◽

pp. 1335-1344 ◽

Cited By ~ 2

Author(s):

S. S. POCHA ◽

A. R. TAURINES ◽

C. A. Z. VASCONCELLOS ◽

M. B. PINTO ◽

M. DILLIG

Keyword(s):

Neutron Star ◽

Nuclear Matter ◽

Degrees Of Freedom ◽

Scalar Meson ◽

Dense Matter ◽

Meson Field ◽

Static Properties ◽

Hartree Approximation ◽

Scalar Meson Field

The influence of nonlinear cubic and quartic self-couplings of the scalar meson field in nuclear matter is investigated. In summing the leading tadpole corrections for the Dirac-vacuum, we compare two approaches, the modified relativistic Hartree approximation, applied to the Walecka model, and the relativistic Hartree approximation, employed to the nonlinear model, respectively. These two approaches render similar expressions for the equation of state of nuclear matter up to the fifth order in the scalar meson field. We find that, by exploring the parameter dependence of the two models, they yield similar results for the bulk static properties of nuclear matter. However, increasing the baryon density the two models start to deviate significantly, such as in the predictions for the maximal mass of a neutron star or in the role of hyperon degrees of freedom in dense matter. The results indicate that with increasing density, scalar meson self-couplings beyond the fourth order seem to play a significant role.

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Erratum: Interaction of a dense fermion medium with a scalar-meson field

Physical Review D ◽

10.1103/physrevd.12.4008 ◽

1975 ◽

Vol 12 (12) ◽

pp. 4008-4008 ◽

Cited By ~ 2

Author(s):

T. D. Lee ◽

M. Margulies

Keyword(s):

Scalar Meson ◽

Meson Field ◽

Scalar Meson Field

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ISOVECTOR COMPONENTS OF LIGHT SCALAR MESON AND NUCLEAR MATTER PROPERTIES

International Journal of Modern Physics E ◽

10.1142/s0218301307008604 ◽

2007 ◽

Vol 16 (09) ◽

pp. 2867-2871 ◽

Cited By ~ 2

Author(s):

C. A. Z. VASCONCELLOS ◽

E. LÜTZ ◽

M. RAZEIRA ◽

B. E. J. BODMANN ◽

M. DILLIG ◽

...

Keyword(s):

Nuclear Matter ◽

Scalar Meson ◽

Mean Field ◽

Symmetry Transformation ◽

Hadronic Matter ◽

Meson Field ◽

Field Approach ◽

Relativistic Mean Field ◽

Light Scalar ◽

Scalar Meson Field

We have predicted (contribution to this issue) an isovector component of the light scalar meson sector by using the chiral symmetry transformation formalism. On the basis of this result, we study dense hadronic matter in a generalized relativistic mean field approach with σ, ω and ρ mesons as well as nonlinear self-couplings of the I = 1 component of a light scalar meson field and compare its predictions for neutron star properties with results from different models for nuclear matter found in the literature.

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