Schematic model for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi><mml:mo>−</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>mixing at finite density and in-medium effective Lagrangian

Kim, Youngman; Rapp, Ralf; Brown, G. E.; Rho, Mannque

doi:10.1103/physrevc.62.015202

Cited by 18 publications

(14 citation statements)

References 26 publications

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“…1c): Instead of these indirect interactions via pions the ρ-meson can also couple directly to a nucleon from the medium and form a nucleon or a baryonic resonance. For ρ-mesons at rest which we study here, one can only form baryons which couple to the ρ-nucleon system in an s-wave [12,14,15,16,25,41,42]. This excludes e.g.…”

Section: Hadronic In-medium Changes At Large Ncmentioning

confidence: 99%

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QCD sum rules at finite density in the large- limit: the coupling of the ρ-nucleon system to the

Leupold¹,

Post²

2005

Nuclear Physics A

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QCD sum rules are studied for the vector-isovector current at finite baryon density in the limit of large number of colors Nc. For the condensate side it is shown that in this limit the four-quark condensate factorizes also for the finite density case. At the hadronic side the medium dependence is expressed in terms of the current-nucleon forward scattering amplitude. Generalizing vector meson dominance we allow for a direct coupling of the current to the nucleon as well as a coupling via the ρ meson. We discuss the Nc dependence of (a) modifications of the pion cloud of the ρ meson, (b) mixing with other mesons (in particular a1 and ω) and (c) resonance-hole excitations R N −1 . We show that only the last effect survives in the large-Nc limit. Saturating the sum rules with a simple hadronic ansatz which allows for the excitation of the D13(1520) we determine the coupling of the latter to the ρ-nucleon and the photon-nucleon system. These couplings are hard to determine from vacuum physics alone.

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Section: Hadronic In-medium Changes At Large Ncmentioning

confidence: 99%

“…These pions can interact with the ρ-mesons (or directly with the current) and cause a mixing with other mesons, e.g. with the ω-meson [10] or with the a 1 -meson (chiral mixing) [20,38,39,40,41].…”

Section: Hadronic In-medium Changes At Large Ncmentioning

confidence: 99%

QCD sum rules at finite density in the large- limit: the coupling of the ρ-nucleon system to the

Leupold¹,

Post²

2005

Nuclear Physics A

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“…Eqs. ( 10), (11), and (16), are depicted separately. The K and K spectral functions are also shown for reference in arbitrary units.…”

Section: Resultsmentioning

confidence: 99%

“…The first of these relations connects the integrated difference of the vector and axial vector mesonic spectral functions (current-current correlators) with the pion decay constant. Together with suitable model calculations, the first Weinberg sum rule can shed light on the degree and physical mechanism of chiral symmetry restoration at finite nuclear densities [11,12].…”

Section: Introductionmentioning

confidence: 99%

Energy-weighted sum rules for mesons in hot and dense matter

et al. 2009

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We study energy-weighted sum rules of the pion and kaon propagator in nuclear matter at finite temperature. The sum rules are obtained from matching the Dyson form of the meson propagator with its spectral Lehmann representation at low and high energies. We calculate the sum rules for specific models of the kaon and pion self-energy. The in-medium spectral densities of the K andK mesons are obtained from a chiral unitary approach in coupled channels that incorporates the S and P waves of the kaon-nucleon interaction. The pion self-energy is determined from the P -wave coupling to particle-hole and -hole excitations, modified by short-range correlations. The sum rules for the lower-energy weights are fulfilled satisfactorily and reflect the contributions from the different quasiparticle and collective modes of the meson spectral function. We discuss the sensitivity of the sum rules to the distribution of spectral strength and their usefulness as quality tests of model calculations.

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“…In Ref. 15) a schematic "a 1 -sobar" model at finite density has been constructed where an important role is played by the putative chiral partners of the ρ-sobar resonance-hole excitations (e.g., N (1520)N −1 , etc. ); see also Ref.…”

Section: §1 Introductionmentioning

confidence: 99%

The a1(1260) as a Resonance in Nuclear Matter

Cabrera¹,

Rapp²,

Roca³

2010

Progress of Theoretical Physics

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We present a theoretical study of the properties of the a1(1260) axial-vector resonance in a cold nuclear medium. In the vacuum, the a1(1260) resonance is generated dynamically from the interactions of a pseudoscalar and vector meson (ρπ and KK * ) in a coupled channel chiral unitary approach. Medium effects are implemented through the modification of the ρ and π propagators at finite nuclear density from well established microscopic many-body calculations. The in-medium pion spectral function accounts for the coupling to N -hole and ∆-hole excitations including short range correlations, whereas the in-medium ρ incorporates modifications of its virtual pion cloud as well as direct resonance-hole excitations. The resulting in-medium a1(1260) exhibits significant broadening with increasing density as reflected in the ρπ scattering amplitude. The possible relation of our results with partial restoration of chiral symmetry in nuclear matter is discussed in terms of in-medium Weinberg sum rules. * ) See, however, Ref. 13) for an alternative interpretation in terms of the so-called vector manifestation.* * ) Recently a method to test whether dynamically described states can be interpreted as quasibound states of hadrons has been proposed in Ref. 42).

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Schematic model forρ−a1mixing at finite density and in-medium effective Lagrangian

Cited by 18 publications

References 26 publications

QCD sum rules at finite density in the large- limit: the coupling of the ρ-nucleon system to the

QCD sum rules at finite density in the large- limit: the coupling of the ρ-nucleon system to the

Energy-weighted sum rules for mesons in hot and dense matter

The a1(1260) as a Resonance in Nuclear Matter

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