Decays of excited strange mesons in the extended NJL model

Волков, М. К.; Yudichev, V. L.; Эберт, Д.

doi:10.1088/0954-3899/25/10/303

Cited by 64 publications

(117 citation statements)

References 18 publications

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“…Since the system of equations (10) can be solved, we are able to obtain the semi-classical asymptotics of the integral over s a , p a in (6). One has the following result which is valid at lowest order of the stationary phase approximation: (σ, φ, ∆; s, p) 4 Let us recall that putting g 1 = g 2 = 0, one obtains from (13) the system of quadratic equations to find h u , h d , h s .…”

Section: Effective Potentialmentioning

confidence: 99%

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Multi-quark interactions with a globally stable vacuum

2006

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Section: Effective Potentialmentioning

confidence: 99%

“…This approach hinges decisively on the stationary phase asymptotics of the generating functional and 2 Later on a modified form of this interaction has been used to derive the QCD effective action at long distances [5][6][7]. allows to calculate the contribution of the classical path already at lowest order.…”

Section: Introductionmentioning

confidence: 99%

Multi-quark interactions with a globally stable vacuum

2006

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“…Later, the (p, n)-doublet was replaced by a doublet of colored up u and down d quarks, in order to describe phenomenologically the physics of light mesons [13,14,15,16], diquarks [17,18], as well as meson-baryon interactions [19,20]. In this sense the NJL model may be thought of as an effective theory for low energy QCD.…”

Section: The Model and Its Effective Actionmentioning

confidence: 99%

Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter

2005

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The spectrum of meson and diquark excitations of dense color neutral cold quark matter is investigated in the framework of a 2-flavored Nambu-Jona-Lasinio type model, including a quark µ-and color µ8 chemical potential. It was found out that in the color superconducting (2SC) phase, i.e. at µ > µc = 342 MeV, µ8 aquires rather small values ∼ 10 MeV in order to ensure the color neutrality. In this phase the π-and σ meson masses are evaluated around ∼ 330 MeV. The spectrum of scalar diquarks in the color neutral 2SC phase consists of a heavy (SUc(2)-singlet) resonance with mass ∼ 1100 MeV, four light diquarks with mass 3|µ8|, and one Nambu -Goldstone boson which is in accordance with the Goldstone theorem. Moreover, in the 2SC phase there are five light stable particles as well as a heavy resonance in the spectrum of pseudo-scalar diquarks. In the color symmetric phase, i.e. for µ < µc, a mass splitting of scalar diquarks and antidiquarks is shown to arise if µ = 0, contrary to the case of µ = 0, where the masses of scalar antidiquarks and diquarks are degenerate at the value ∼ 700 MeV. If the coupling strength in the pseudo-scalar diquark channel is the same as in the scalar diquark one (as for QCD-inspired NJL models), then in the color symmetric phase pseudo-scalar diquarks are not allowed to exist as stable particles.

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“…where M a 1 is the a 1 -meson mass; 4) the expression for g σqq through a logarithmically divergent integral [7,8] …”

Section: The Njl Model With the 'T Hooft Interactionmentioning

confidence: 99%

“…4, we complete the bosonization of the last part of the Lagrangian (2) containing the nondiagonal terms. After renormalization of the meson fields we obtain [7,8] …”

Section: The Masses Of the Isovector And Strange Mesonsmentioning

confidence: 99%

Scalar mesons in the Nambu-Jona-Lasinio model with the ’t Hooft interaction

1999

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We calculate the mass spectra of the pseudoscalar and scalar meson nonets in the Nambu-Jona-Lasinio model with the 't Hooft interaction. We obtain satisfactory result for the pseudoscalar mesons. For the scalar mesons, the 't Hooft interaction somewhat increases the values of the masses. However, it is not sufficient to explain the whole scalar mass spectrum. The situation could be improved for the σ and f 0 mesons through mixing with the glueball state. For the description of the masses of a 0 and K * 0 mesons, it is necessary to involve the other models. The strong decay widths of the scalar mesons are described.

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Decays of excited strange mesons in the extended NJL model

Cited by 64 publications

References 18 publications

Multi-quark interactions with a globally stable vacuum

Multi-quark interactions with a globally stable vacuum

Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter

Scalar mesons in the Nambu-Jona-Lasinio model with the ’t Hooft interaction

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