Quark and gluon condensates in nuclear matter

Cohen, Thomas D.; Furnstahl, R. J.; Griegel, David K.

doi:10.1103/physrevc.45.1881

Cited by 359 publications

(498 citation statements)

References 48 publications

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“…4, which shows the result of the calculation with fixed Γ ∆ , but with m N and m ∆ scaled down to 70% of their vacuum values. A decrease of that order at the saturation density is anticipated from several approaches [1,3,68]. We notice that g eff is enhanced and shifted to lower values of M when the baryon masses are rescaled.…”

Section: āmentioning

confidence: 66%

ρ→ππ decay in nuclear medium

2001

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We calculate the medium modifications of the ρππ vertex in a relativistic hadronic framework incorporating nucleons and ∆(1232) isobars, and find a substantial increase of the ρππ coupling, dominated by processes where the ∆ is excited. The coupling depends significantly on the virtuality of the ρ, which is related to analytic properties of the vertex function. We analyze the general case of a non-zero three-momentum of the ρ with respect to the nuclear medium, and evaluate the resulting widths and spectral strength in the transverse and longitudinal channels for the ρ → ππ decay. These widths are used to obtain the dilepton yields from ρ decays in relativistic heavyion collisions.

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Section: āmentioning

confidence: 66%

ρ→ππ decay in nuclear medium

2001

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“…Following Ref. [13], the in-mediumqq condensate is approximated by a sum of the vacuum part and the in-medium correction, the latter being the product of nuclear density and the nucleon matrix element ofqq,…”

Section: Critical Retrospectmentioning

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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“…These corrections have been studied in one-boson exchange models of the NN-interaction combined with the relativistic Dirac-Brueckner approach to nuclear matter [5,6]. Knowledge of the quark mass derivatives of the various meson masses and coupling constants is required in order to quantify the interaction effects on the in-medium condensate.…”

Section: Introduction and Frameworkmentioning

confidence: 99%

In-medium chiral condensate beyond linear density approximation

2008

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In-medium chiral perturbation theory is used to calculate the density dependence of the quark condensate qq . The corrections beyond the linear density approximation are obtained by differentiating the interaction contributions to the energy per particle of isospin-symmetric nuclear matter with respect to the pion mass. Our calculation treats systematically the effects from one-pion exchange (with m π -dependent vertex corrections), iterated 1π-exchange, and irreducible 2π-exchange including intermediate ∆(1232)-isobar excitations, with Pauli-blocking corrections up to three-loop order. We find a strong and non-linear dependence of the "dropping" in-medium condensate on the actual value of the pion (or light quark) mass. In the chiral limit, m π = 0, chiral restoration appears to be reached already at about 1.5 times normal nuclear matter density. By contrast, for the physical pion mass, m π = 135 MeV, the in-medium condensate stabilizes at about 60% of its vacuum value above that same density. Effects from 2π-exchange with virtual ∆(1232)-isobar excitations turn out to be crucial in generating such pronounced deviations from the linear density approximation above ρ 0 . The hindered tendency towards chiral symmetry restoration provides a justification for using pions and nucleons as effective low-energy degrees of freedom at least up to twice nuclear matter density.PACS: 12.38.Bx, 21.65.+f Keywords: In-medium chiral condensate, long-range correlations in nuclear matter from oneand two-pion exchange.

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Quark and gluon condensates in nuclear matter

Cited by 359 publications

References 48 publications

ρ→ππ decay in nuclear medium

ρ→ππ decay in nuclear medium

Dmesons in nuclear matter: ADNcoupled-channel equations approach

In-medium chiral condensate beyond linear density approximation

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