Relativistic response of a Fermi gas

Alberico, W. M.; Molinari, A.

doi:10.1088/0305-4616/7/5/003

Cited by 31 publications

(59 citation statements)

References 4 publications

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“…4.1 was obtained with the πN background being artificially reduced by a factor of three (compensated by larger ∆(1232) and N (1520) contributions to still reproduce the nucleon data) which seems to improve the fit. Note here that a simple averaging over Fermi motion seems to give a sufficient smearing of the N (1520) resonance, in contrast to previous findings in the literature [172,173,163,102] where a strong in-medium resonance broadening was required.…”

Section: Photoabsorption Spectracontrasting

confidence: 70%

Chiral Symmetry Restoration and Dileptons in Relativistic Heavy-Ion Collisions

Rapp

Wambach

2002

Advances in Nuclear Physics

545

270

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The current theoretical status in the analysis and interpretation of low-mass dilepton measurements in (ultra-) relativistic heavy-ion experiments is reviewed. Special emphasis is put on potential signals of (partial) restoration of dynamically broken chiral symmetry in a hot and dense hadronic medium. It follows from chiral symmetry alone that parity partners of hadronic correlation functions must become identical when the symmetry is restored. The assessment of medium effects in the vector channel, which governs the dilepton production, thus necessitates a simultaneous treatment of the vector and axialvector degrees of freedom. While significant progress in this respect has been made some open questions remain in establishing a rigorous link in the mass region below 1 GeV. From the present calculations a suggestive 'quark-hadron duality' emerges near the phase boundary. It implies substantial medium effects in the dilepton signal from the hadronic phase which smoothly matches a perturbative description within the plasma phase.

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Section: Photoabsorption Spectracontrasting

confidence: 70%

Chiral Symmetry Restoration and Dileptons in Relativistic Heavy-Ion Collisions

Rapp

Wambach

2002

Advances in Nuclear Physics

545

270

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“…in a good agreement with data (discrepancies of the order of 10-15% for the muon capture rate), despite that those measurements involve extremely low nuclear excitation energies (smaller than 15-20 [25][26][27][28][29][30] MeV in the first [second] case), where the LFG picture of the nucleus might break down. However, it turns out that the present model provides one of the best existing combined description of these two low energy measurements, what increases our confidence on the QE predictions of the model at the higher transferred energies of interest for future neutrino experiments.…”

Section: Introductionsupporting

confidence: 70%

Erratum: Inclusive quasielastic charged-current neutrino-nucleus reactions [Phys. Rev. C 70, 055503 (2004)]

Nieves¹,

Amaro²,

Valverde³

2005

Phys. Rev. C

184

464

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The Quasi-Elastic (QE) contribution of the nuclear inclusive electron scattering model developed in Ref.[1] is extended to the study of electroweak Charged Current (CC) induced nuclear reactions, at intermediate energies of interest for future neutrino oscillation experiments. The model accounts for, among other nuclear effects, long range nuclear (RPA) correlations, Final State Interaction (FSI) and Coulomb corrections. Predictions for the inclusive muon capture in 12 C and the reaction 12 C (νµ, µ − )X near threshold are also given. RPA correlations are shown to play a crucial role and their inclusion leads to one of the best existing simultaneous description of both processes, with accuracies of the order of 10-15% per cent for the muon capture rate and even better for the LSND measurement.

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“…In the present work we have computed the non-mesonic component of the decay-using the same relativistic RPA model that was used to confirm the LAMPF measurements. The dynamical quenching of the πNN coupling constant in the medium was now responsible for generating decay widths for Λ-hypernuclei that were two to three times smaller than those obtained by existing nonrelativistic calculations [9,23]-and considerably smaller than measured experimentally [15]. This suggests that other modes of excitation, besides pion-like modes, might be important in understanding the decay width of Λ-hypernuclei [5,6,11].…”

Section: Discussionmentioning

confidence: 99%

“…This large reduction factor is not exclusive to 40 Ca, but is seen in all hypernuclei reported in Table II. It is also relevant to mention that in a very recent publication (of only a few days old!) a new nonrelativistic evaluation of the Λ-decay width has been made [23]. For the case of 40 Ca a total decay width (without including the two-particle-two-hole component of the decay) of Γ/Γ 0 = 1.08 has been reported.…”

Section: B Non-mesonic Decaymentioning

confidence: 99%

Relativistic treatment of hypernuclear decay

Zhou

Piekarewicz

1999

Phys. Rev. C

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We compute for the first time the decay width of Λ-hypernuclei in a relativistic mean-field approximation to the Walecka model. Due to the small mass difference between the Λ-hyperon and its decay products-a nucleon and a pion-the mesonic component of the decay is strongly Pauli blocked in the nuclear medium. Thus, the in-medium decay becomes dominated by the non-mesonic, or two-body, component of the decay. For this mode, the Λ-hyperon decays into a nucleon and a spacelike nuclear excitation. In this work we concentrate exclusively on the pion-like modes. By relying on the analytic structure of the nucleon and pion propagators, we express the nonmesonic component of the decay in terms of the spin-longitudinal response function. This response has been constrained from precise quasielastic ( p, n) measurements done at LAMPF. We compute the spin-longitudinal response in a relativistic random-phase-approximation model that reproduces accurately the quasielastic data. By doing so, we obtain hypernuclear decay widths that are considerably smaller-by factors of two or three-relative to existing nonrelativistic calculations.

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Relativistic response of a Fermi gas

Abstract: Abstract. The relativistic response of an assembly of non-interacting nucleons is calculated and compared with the non-relativistic limit.

Cited by 31 publications

References 4 publications

Chiral Symmetry Restoration and Dileptons in Relativistic Heavy-Ion Collisions

Chiral Symmetry Restoration and Dileptons in Relativistic Heavy-Ion Collisions

Erratum: Inclusive quasielastic charged-current neutrino-nucleus reactions [Phys. Rev. C 70, 055503 (2004)]

Relativistic treatment of hypernuclear decay

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