Kaon effective mass and energy from a novel chiral SU(3)-symmetric Lagrangian

Mao, Guangjun; Papazoglou, P.; Hofmann, Stefan; Schramm, Stefan; Stöcker, H.; Greiner, Walter

doi:10.1103/physrevc.59.3381

Cited by 36 publications

(46 citation statements)

References 32 publications

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“…The scalar meson exchange gives an attractive interaction leading to a drop of the K -meson masses similar to a scalar sigma term in the chiral perturbation theory [2]. In fact, the KN [34] as well as the πN sigma term are predicted in our approach automatically by using SU(3) symmetry. The pion-nucleon and kaon-nucleon sigma terms as calculated from the scalar meson exchange interaction of our Lagrangian are 28 MeV and 463 MeV, respectively.…”

Section: Kaon Interactions In the Effective Chiral Modelmentioning

confidence: 80%

“…We first consider the situation when the Weinberg-Tomozawa term is supplemented by the scalar and vector meson exchange interactions [34]. The other case corresponds to the inclusion of the range terms in (24).…”

Section: Medium Modification Of K-meson Massesmentioning

confidence: 99%

“…These interactions were considered within the SU(3) chiral model to investigate the modifications of K-mesons in thermal medium [34] in the mean field approximation. The scalar meson exchange gives an attractive interaction leading to a drop of the K -meson masses similar to a scalar sigma term in the chiral perturbation theory [2].…”

Section: Kaon Interactions In the Effective Chiral Modelmentioning

confidence: 99%

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Kaons and antikaons in hot and dense hadronic matter

Bratkovskaya²,

et al. 2004

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The medium modification of kaon and antikaon masses, compatible with low energy KN scattering data, are studied in a chiral SU(3) model. The mutual interactions with baryons in hot hadronic matter and the effects from the baryonic Dirac sea on the K(K) masses are examined.The in-medium masses from the chiral SU(3) effective model are compared to those from chiral perturbation theory. Furthermore, the influence of these in-medium effects on kaon rapidity distributions and transverse energy spectra as well as the K,K flow pattern in heavy-ion collision experiments at 1.5 to 2 A·GeV are investigated within the HSD transport approach. Detailed predictions on the transverse momentum and rapidity dependence of directed flow v 1 and the elliptic flow v 2 are provided for Ni+Ni at 1.93 A·GeV within the various models, that can be used to determine the in-medium K ± properties from the experimental side in the near future.

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Section: Kaon Interactions In the Effective Chiral Modelmentioning

confidence: 80%

Section: Medium Modification Of K-meson Massesmentioning

confidence: 99%

Section: Kaon Interactions In the Effective Chiral Modelmentioning

confidence: 99%

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Kaons and antikaons in hot and dense hadronic matter

Bratkovskaya²,

et al. 2004

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“…Further investigation on the K mesons in hot and/or dense nuclear medium with refinement may be found, for example, in Refs. [16,17]. See Ref.…”

Section: B Nmfamentioning

confidence: 99%

Dmesons in nuclear matter: ADNcoupled-channel equations approach

2006

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A set of coupled two-body scattering equations is solved for the DN system embedded in an isosymmetric nuclear matter. The in-medium behavior of charmed D mesons, (D + , D 0 ), is investigated from the self-consistent solution within this scheme. The effective meson-baryon Lagrangian in charm quantum number one sector, the key ingredient in the present study, is adopted from a recent model by Hofmann and Lutz that has aimed at combining the charmed meson degree of freedom in a consistent manner with chiral unitary models. After a critical examination, the original model is modified in several important aspects, such as the method of regularization, to be more consistent and practical for our objective. The resultant interaction is used to reproduce the position and width of the s-wave c (2593) resonance in the isospin zero DN channel. In the isospin one channel, it generates a rather wide resonance at ∼2770 MeV. The corresponding in-medium solution is then sought by incorporating Pauli blocking and the D-and π -meson dressing self-consistently. At normal nuclear matter density, the resultant c (2593) is found to stay narrow and shifted at a lower energy, whereas the I = 1 resonance is lowered in position as well and broadened considerably.

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“…However, the calculation based on the chiral coupling channel approach gives the K − -nucleus potential ranging from 85-140MeV [17,18,19], and the chiral unitary theory that starts from the bare K − N interaction predicts an even more shallower K − -nucleus potential in the range of 50 -70 MeV [20,21]. The medium properties of kaons have also been studied from mean field theories, built within the framework of chiral Lagrangians [22,23], based on Walecka model extended to incorporate kaons [24,25], or using explicitly quark degrees of freedom [26]. Moreover, the behavior of the effective masses of kaons at the finite nuclear density has been studied in the SU (3) Nambu-Jona-Lasinio model [27].…”

mentioning

confidence: 99%

In-Medium Properties of Kaons in a Chiral Approach

Cui

Sun

2008

Int. J. Mod. Phys. E

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The first order self-energy corrections of the kaon in the symmetric nuclear matter are calculated from kaon-nucleon scattering matrix elements using a chiral Lagrangian within the framework of relativistic mean field approximation. It shows that the effective mass and the potential of K + meson are identical with those of K − meson in the nuclear matter, respectively. The effective mass of the kaon in the nuclear matter decreases with the nuclear density increasing, and is not relevant to the kaon-nucleon Sigma term. The kaon-nucleus potential is positive and increases with the nuclear density. Our results indicate that K − meson can not be bound in the nuclei.PACS numbers: 12.39. Fe, 13.75.Jz, 21.65.+f.The in-medium properties of kaons have caused more attentions of nuclear physicists for many years. It was predicted 20 years ago that Bose-Einstein condensation of K − mesons is possible in the nuclear matter with a density up to several times of the normal nuclear matter density, which is called kaon-condensation phenomenon [1]. This prediction had inspired great interests of nuclear physicists in the following years [2,3,4,5]. It's assumed that there exists kaon-condensation in the high density nuclear matter in the core of neutron stars, and hence it can be utilized to soften the equation of state of beta-stable matter in neutron stars [4,5].In 1999, by fitting the K − atomic data, it was predicted that there can be deeply bound kaonic atoms, i.e., kaonic nuclei [6,7]. Although the experimental data at KEK and of FINUDA collaboration were interpreted as the evidences that deeply bound kaonic atoms exist [8,9,10,11], whether there can be deeply bound states of K − meson in the nuclei is still an issue of great controversy [12,13,14,15].Whether or not there exist deeply bound states of K − depends upon properties of K − in the nuclear medium, and is closely relevant to the depth of potential-well of K − in the nuclear matter. Nevertheless, it can be seen from present results that the interaction between the kaon and the nucleus is mainly model-dependent. By fitting the data of K − atoms, a strong attractive K − -nucleus potential with the depth of 150-200MeV is obtained [16]. However, the calculation based on the chiral coupling channel approach gives the K − -nucleus potential ranging from 85-140MeV [17,18,19], and the chiral unitary theory that starts from the bare K − N interaction predicts an even more shallower K − -nucleus potential in the range of 50 -70 MeV [20,21]. The medium properties of kaons have also been studied from mean field theories, built within the framework of chiral Lagrangians [22,23], based on Walecka model extended to incorporate kaons [24,25], or using explicitly quark degrees of freedom [26]. Moreover, the behavior of the effective masses of kaons at the finite nuclear density has been studied in the SU (3) Nambu-Jona-Lasinio model [27].Although these models give different K − -nucleus potential depths, most of them predict negative values of the K − -nucleus potential in the nuclea...

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Kaon effective mass and energy from a novel chiral SU(3)-symmetric Lagrangian

Cited by 36 publications

References 32 publications

Kaons and antikaons in hot and dense hadronic matter

Kaons and antikaons in hot and dense hadronic matter

Dmesons in nuclear matter: ADNcoupled-channel equations approach

In-Medium Properties of Kaons in a Chiral Approach

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