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Kahrimanis, G.; Burleson, G. R.; Chen, C. M.; Clark, B. C.; Dhuga, K. S.; Ernst, D. J.; Faucett, J.A.; Fortune, H. T.; Hama, S.; Hussein, A.; Jiang, Meng; Johnson, K.; Kerr, L. Kurth; Mathews, Scott A.; McGill, J.; Moore, C. Fred; Mordechaǐ, S.; Morris, Christopher; O’Donnell, J. M.; Snell, M.P.; Rawool-Sullivan, M.W.; Ray, L.; Whitley, C.R.; Williams, A.

doi:10.1103/physrevc.55.2533

Cited by 17 publications

(9 citation statements)

References 24 publications

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“…For isoscalar targets, like C 12 , O 16 ..., isospin symmetry implies dσ(π + N) ≃ dσ(π − N) ≃ dσ(π 0 N). In the actual calculation we use the coherent pion-Carbon scattering data [22], with additional data being available on other nuclei and other energies in [23,24]. Data from other nuclei are normalized to Carbon, using the A-dependence law A 2/3 , observed in hadronic experiments [25] and in pion photoproduction [26].…”

Section: Numerical Estimates and Resultsmentioning

confidence: 99%

Coherent pion production by neutrino scattering off nuclei

2006

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The main part of coherent pion production by neutrinos on nuclei is essentially determined by PCAC, provided that the leptonic momentum transferred square Q 2 remains sufficiently small. We give the formulas for the charged and neutral current cross sections, including also the small non-PCAC transverse current contributions and taking into account the effect of the µ − -mass. Our results are compared with the experimental ones and other theoretical treatments. I. INTRODUCTIONCoherent production of pions by neutrinos has been studied by many experimental groups and measurements have been made for neutrino energies ranging from 2 to 80 GeV [1,2,3,4,5,6,7,8]. The main characteristics of such cross sections is that the energy of the recoiling nucleus and the invariant momentum transfer to it, always remain very small. A characteristic signature of these events is a sharp peak in the low |t| region. In addition to this, all experiments have observed that the momentum transfer from the leptonic sector Q 2 also remains very small, sharply peaking at Q 2 0.2 GeV 2 ; while the dependence of the cross section on the neutrino energy appears logarithmic at high energies.However, problems with the existence of the coherence phenomenon might appear at the lower energies used for the new oscillation experiments K2K, MiniBoone, MINOS etc. In particular, a new measurement by the K2K group at an average neutrino energy E 1 = 1.3 *

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Section: Numerical Estimates and Resultsmentioning

confidence: 99%

Coherent pion production by neutrino scattering off nuclei

2006

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“…For a number of years we have used the relativistic impulse approximation (RIA) in the analysis of proton-nucleus elastic and inelastic scattering [16,17,18,19,20,21,22,23] and the RIA-KDP(Kemmer-Duffin-Petiau) [24,25,26] for meson-nucleus elastic scattering [27,28,29,30,31]. These approaches produce relativistic optical potentials which result in good agreement with medium-energy scattering observables.…”

Section: Introductionmentioning

confidence: 99%

Neutron densities from a global analysis of medium-energy proton-nucleus elastic scattering

2003

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A new method for extracting neutron densities from intermediate energy elastic proton-nucleus scattering observables uses a global Dirac phenomenological (DP) approach based on the Relativistic Impulse Approximation (RIA). Data sets for 40 Ca, 48 Ca and 208 Pb in the energy range from 500 MeV to 1040 MeV are considered. The global fits are successful in reproducing the data and in predicting data sets not included in the analysis. Using this global approach, energy independent neutron densities are obtained. The vector point proton density distribution, ρ p v , is determined from the empirical charge density after unfolding the proton form factor. The other densities, ρ n v , ρ p s , ρ n s , are parametrized. This work provides energy independent values for the RMS neutron radius, R n and the neutron skin thickness, S n , in contrast to the energy dependent values obtained by previous studies. In addition, the results presented in paper show that the expected rms neutron radius and skin thickness for 40 Ca is accurately reproduced. The values of R n and S n obtained from the global fits that we consider to be the most reliable are given as follows: for 40 Ca, 3.314 > R n > 3.310 fm and −0.063 > S n > −0.067 fm; for 48 Ca, 3.459 > R n > 3.413 fm and 0.102 > S n > 0.056 fm; and for 208 Pb 5.550 > R n > 5.522 fm and 0.111 > S n > 0.083 fm. These values are in reasonable agreement with nonrelativistic Skyrme Hartree-Fock models and with relativistic Hartree-Bogoliubov models with density-dependent meson-nucleon couplings. The results from the global fits for 48 Ca and 208 Pb are generally not in agreement with the usual relativistic mean-field models.

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“…In Section 2 we follow Satchler, reduce the Klein-Gordon equation to a Schrödinger equation, and search for phenomenological local optical potentials which can reproduce the scattering data. We choose the system of π − + 12 C, because for this system many experimental data are available in a wide range of energies, 120 -766 MeV [17,18,19] and we are interested in examining the energy-dependency of the pion-nucleus local potentials. We employ the Woods-Saxon form of the local potential [16] and search for the potential parameters to fit the experimental data.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological local potentials for pi^-+¹²C scattering from 120 to 766 MeV

Hong

Kim

1999

J. Phys. G: Nucl. Part. Phys.

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Pion-nucleus scattering cross sections are calculated by solving a Schrödinger equation reduced from the Klein-Gordon equation. Local potentials are assumed, and phenomenological potential parameters are searched energy-dependently for π − + 12 C system so as to reproduce not only elastic differential cross sections but also total elastic, reaction and total cross sections at 13 pion incident energies from 120 to 766 MeV. The real and imaginary parts of the local potentials thus obtained are shown to satisfy the dispersion relation. The imaginary part of the potentials as a function of the pion energy is found to peak near the ∆(1232)-resonance energy. The strong absorption radius of the pion projectile with incident energies near the ∆-resonance region is found to be about 1.6A 1/3 fm, which is consistent with previous studies of the region where the decay of the ∆'s takes place in nuclei. The phenomenological local potentials are then compared with the local potentials exactly phase-shift equivalent to Kisslinger potentials for pion energies near the ∆-resonance. PACS number: 24.10.Ht, 25.40.Ny, 25.80.Dj 1

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Pion-nucleus elastic scattering on12C,40Ca,

Cited by 17 publications

References 24 publications

Coherent pion production by neutrino scattering off nuclei

Coherent pion production by neutrino scattering off nuclei

Neutron densities from a global analysis of medium-energy proton-nucleus elastic scattering

Phenomenological local potentials for pi^-+¹²C scattering from 120 to 766 MeV

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Pion-nucleus elastic scattering on12C,40Ca,

Cited by 17 publications

References 24 publications

Coherent pion production by neutrino scattering off nuclei

Coherent pion production by neutrino scattering off nuclei

Neutron densities from a global analysis of medium-energy proton-nucleus elastic scattering

Phenomenological local potentials for pi-+12C scattering from 120 to 766 MeV

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Product

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Phenomenological local potentials for pi^-+¹²C scattering from 120 to 766 MeV