Scalar isoscalar pion pairs in nuclei and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>(</mml:mo><mml:mi>π</mml:mi><mml:mo>,</mml:mo><mml:mi>π</mml:mi><mml:mi>π</mml:mi><mml:mo>)</mml:mo><mml:mi>X</mml:mi></mml:math>reaction

Vacas, M. J. Vicente; Oset, E.

doi:10.1103/physrevc.60.064621

Cited by 41 publications

(42 citation statements)

References 40 publications

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“…Furthermore, collective P-wave pion modes are far from explaining the strength at ∼ 2m π ; i.e., predictions of [5] reported in Fig. 3.…”

Section: The A-and T-dependence Of C a ππmentioning

confidence: 99%

“…The C A ππ observable is compared with the model predictions of Ref. [5] for A= 40 Ca (continuous line). The agreement is good for the π + π + channel, except for the low-energy part of the spectrum where the model calculations underestimate the data by nearly a factor of two.…”

Section: The A-and T-dependence Of C a ππmentioning

confidence: 99%

“…An additional source of reshaping of the σ spectral function at around threshold is yielded by standard many-body correlations; i. e., the P −wave coupling of pions to particle − hole and ∆−hole states [2,3,5]. The combined effect of partial restoration and collective P-wave pionic modes produces a conspicuous enhancement of the σ spectral function at around the 2m π threshold [2,3].…”

Section: Introductionmentioning

confidence: 99%

“…At the variance, the model quoted in Ref. [5], provides a comprehensive study of the πA → ππX reaction: it accounts for the elementary process of pion production πN → ππN as well as standard nuclear effects (Pauli blocking, Fermi motion, etc.). It also examines the effects of the nuclear environment on J=I=0 interacting pion pairs via the P −wave coupling of pions to particle − hole and ∆ − hole configurations [18].…”

Section: The Observablementioning

confidence: 99%

“…The out-of-plane behavior of the πN(A) → ππN(A ′ ) reactions was accounted for by the model described in Ref. [5] (and references therein quoted). The histograms display a monotonic decrease and nearly the same intensities at the varying of M ππ , with the exception of a shallow dip at M ππ ∼350 MeV for the CHAOS distribution.…”

Section: The Observablementioning

confidence: 99%

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The π→ππ process in nuclei and the restoration of chiral symmetry

et al. 2005

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Abstract:The results of an extensive campaign of measurements of the π → ππ process in the nucleon and nuclei at intermediate energies are presented. The measurements were motivated by the study of strong ππ correlations in nuclei. The analysis relies on the composite ratio C A ππ , which accounts for the clear effect of the nuclear medium on the ππ system. The comparison of the C A ππ distributions for the (ππ) I=J=0 and (ππ) I=0,J=2 systems to the model predictions indicates that the C A ππ behavior in proximity of the 2m π threshold is explainable through the partial restoration of chiral symmetry in nuclei.

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“…Furthermore, collective P-wave pion modes are far from explaining the strength at ∼ 2m π ; i.e., predictions of [5] reported in Fig. 3.…”

Section: The A-and T-dependence Of C a ππmentioning

confidence: 99%

Section: The A-and T-dependence Of C a ππmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: The Observablementioning

confidence: 99%

Section: The Observablementioning

confidence: 99%

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The π→ππ process in nuclei and the restoration of chiral symmetry

et al. 2005

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In-medium Chiral Perturbation Theory beyond the Mean-Field Approximation

2002

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An explicit expression for the generating functional of two-flavor low-energy QCD with external sources in the presence of nonvanishing nucleon densities was derived recently (J. A. Oller, Phys. Rev. C 65 (2002) 025204). Within this approach we derive power counting rules for the calculation of in-medium pion properties. We develop the so-called standard rules for residual nucleon energies of the order of the pion mass and a modified scheme (nonstandard counting) for vanishing residual nucleon energies. We also establish the different scales for the range of applicability of this perturbative expansion, which are √ 6π f π 0.7 GeV for standard and 6π 2 f 2 π /2m N 0.27 GeV for nonstandard counting, respectively. We have performed a systematic analysis of n-point in-medium Green functions up to and including next-to-leading order when the standard rules apply. These include the in-medium contributions to quark condensates, pion propagators, pion masses, and couplings of the axial-vector, vector, and pseudoscalar currents to pions. In particular, we find a mass shift for negatively charged pions in heavy nuclei, M π − = (18 ± 5) MeV, that agrees with recent determinations from deeply bound pionic 207 Pb. We have also established the absence of in-medium renormalization in the π 0 → γ γ decay amplitude up to the same order. The study of ππ scattering requires the use of the nonstandard counting and the calculation is done at leading order. Even at that order we establish new contributions not considered so far. We also point toward further possible improvements of this scheme and touch upon its relation to more conventional many-body approaches. C 2002 Elsevier Science (USA)

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Hadron spectrum and hadrons in the nuclear medium

Vacas

The IVth International Conference on Quarks and Nuclear Physics

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Scalar isoscalar pion pairs in nuclei and theA(π,ππ)Xreaction

Cited by 41 publications

References 40 publications

The π→ππ process in nuclei and the restoration of chiral symmetry

The π→ππ process in nuclei and the restoration of chiral symmetry

In-medium Chiral Perturbation Theory beyond the Mean-Field Approximation

Hadron spectrum and hadrons in the nuclear medium

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