Matter induced ϱ - ω mixing

Dutt-Mazumder, Abhee K.; Dutta-Roy, Binayak; Kundu, Anirban

doi:10.1016/s0370-2693(97)00270-0

Cited by 28 publications

(61 citation statements)

References 23 publications

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“…(52), with the vacuum spectral strength of the ρ, while the dashed curve shows the calculation with our medium-modified spectral strength of Eq. (36). We can see that the medium effects redistribute the dilepton yields from higher to lower values of M. This is a typical effect of broadening of the ρ, found in previous investigations.…”

Section: Dilepton Production Ratesupporting

confidence: 77%

“…In these calculations masses of hadrons, or widths, or both, are significantly changed by the presence of the medium (for a recent review see [33,34,35]). In addition, medium may induce meson mixing absent in the vacuum [36,37,38,39]. An indirect indication for the modification of vector mesons has been provided by the dilepton production measurements in relativistic heavy-ion collisions (CERES [40], HELIOS [41]).…”

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confidence: 99%

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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: Dilepton Production Ratesupporting

confidence: 77%

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confidence: 99%

ρ→ππ decay in nuclear medium

2001

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“…Besides using many-body theories with interactions that are explicitly charge-dependent, e.g., the Bonn [321], Reid93 [322] and V18 potentials [323], one can also explain the difference between the scattering lengths a nn and a pp successfully using approaches based on the ρ − ω meson mixing [324][325][326][327][328][329] or the hadron mass splitting [321,330]. Within the meson-mixing picture, the two vector mesons may undergo a transition between each other through the baryonantibaryon loop (or polarization).…”

Section: Effects Of Charge Symmetry Breaking On the Symmetry Energy Imentioning

confidence: 99%

Recent progress and new challenges in isospin physics with heavy-ion reactions

2008

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The ultimate goal of studying isospin physics via heavy-ion reactions with neutron-rich, stable and/or radioactive nuclei is to explore the isospin dependence of in-medium nuclear effective interactions and the equation of state of neutron-rich nuclear matter, particularly the isospin-dependent term in the equation of state, i.e., the density dependence of the symmetry energy. Because of its great importance for understanding many phenomena in both nuclear physics and astrophysics, the study of the density dependence of the nuclear symmetry energy has been the main focus of the intermediate-energy heavy-ion physics community during the last decade, and significant progress has been achieved both experimentally and theoretically. In particular, a number of phenomena or observables have been identified as sensitive probes to the density dependence of the nuclear symmetry energy. Experimental studies have confirmed some of these interesting isospin-dependent effects and allowed us to constrain relatively stringently the symmetry energy at sub-saturation densities. The impacts of this constrained density dependence of the symmetry energy on the properties of neutron stars have also been studied, and they were found to be very useful for the astrophysical community. With new opportunities provided by the various radioactive beam facilities being constructed around the world, the study of isospin physics is expected to remain one of the forefront research areas in nuclear physics. In this report, we review the major progress achieved during the last decade in isospin physics with heavy ion reactions and discuss future challenges to the most important issues in this field.Key words: Equation of state of asymmetric nuclear matter, Nuclear symmetry energy, Heavy-ion reactions with neutron-rich nuclei, Neutron skin thickness of heavy nuclei, Neutron stars Constraining the Skyrme effective interactions and the neutron skin thickness of heavy nuclei using terrestrial nuclear laboratory data 216 8

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“…This idea was suggested first in Ref. [16] where it has been pointed out that the presence of asymmetric nuclear matter has a profound effect on the mixing of the ρ and ω resonances. There the mixing angle was determined from the matter induced non-diagonal self energy of the ρ 0 resonance by employing an SU(2) F symmetric hadronic model.…”

Section: Introductionmentioning

confidence: 99%

ρ−ωmixing in asymmetric nuclear matter via a QCD sum rule approach

2000

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We evaluate the operator product expansion (OPE) for a mixed correlator of the isovector and isoscalar vector currents in the background of the nucleon density with intrinsic isospin asymmetry [i.e. excess of neutrons over protons] and match it with its imaginary part, given by resonances and continuum, via the dispersion relation. The leading density-dependent contribution to ρ − ω mixing is due the scattering term, which turns out to be larger than any density dependent piece in the OPE. We estimate that the asymmetric density of nn − np ∼ 2.5 × 10 −2 fm 3 induces the amplitude of ρ − ω mixing, equal in magnitude to the mixing amplitude in vacuum, with the constructive interference for positive and destructive for negative values of nn − np. We revisit sum rules for vector meson masses at finite nucleon density to point out the numerical importance of the screening term in the isoscalar channel, which turns out to be one order of magnitude larger than any density-dependent condensates over the Borel window. This changes the conclusions about the density dependence of mω, indicating ∼ 40 MeV increase at nuclear saturation density.

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Matter induced ϱ - ω mixing

Abstract: A novel mechanism for ρ − ω mixing induced by neutron-proton asymmetry in nuclear matter is uncovered and the variation of the mixing angle with the extent of asymmetry is presented.

Cited by 28 publications

References 23 publications

ρ→ππ decay in nuclear medium

ρ→ππ decay in nuclear medium

Recent progress and new challenges in isospin physics with heavy-ion reactions

ρ−ωmixing in asymmetric nuclear matter via a QCD sum rule approach

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