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Ray, L.; Hoffmann, G. W.; Blanpied, G. S.; Coker, William R; Liljestrand, R. P.

doi:10.1103/physrevc.18.1756

Cited by 46 publications

(42 citation statements)

References 18 publications

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“…The experimental uncertainty in the neutron skin thickness obtained by proton scattering is rather large: δ np = r n − r p = 0.09 ± 0.07 fm. This is mainly due to the difficulty to extract the neutron radius from the analysis of the proton scattering [61]. The sum rule analysis of the SD strength determines the neutron radius with 1% accuracy, which is almost the same as that expected for the parity violation electron scattering experiment.…”

Section: Spin-dipole Resonances and Neutron Skinmentioning

confidence: 69%

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Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances

2014

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Abstract. The experimental and theoretical studies of Giant Resonances, or more generally of the nuclear collective vibrations, are a well established domain in which sophisticated techniques have been introduced and firm conclusions reached after an effort of several decades. From it, information on the nuclear equation of state can be extracted, albeit not far from usual nuclear densities. In this contribution, which complements other contributions appearing in the current volume, we survey some of the constraints that have been extracted recently concerning the parameters of the nuclear symmetry energy. Isovector modes, in which neutrons and protons are in opposite phase, are a natural source of information and we illustrate the values of symmetry energy around saturation deduced from isovector dipole and isovector quadrupole states. The isotopic dependence of the isoscalar monopole energy has also been suggested to provide a connection to the symmetry energy: relevant theoretical arguments and experimental results are thoroughly discussed. Finally, we consider the case of the charge-exchange spin-dipole excitations in which the sum rule associated with the total strength gives in principle access to the neutron skin and thus, indirectly, to the symmetry energy.

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Section: Spin-dipole Resonances and Neutron Skinmentioning

confidence: 69%

“…The experimental value of the charge radius is taken from Ref. [60], while the experimental data for rn − rp are taken from [61,56]. The radii are given in units of fm, while the SD sum rules are given in units of fm 2 .…”

Section: Spin-dipole Resonances and Neutron Skinmentioning

confidence: 99%

Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances

2014

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“…In Refs. [24,25], proton and neutron densities are given assuming the three-parameter Fermi or Gaussian model. Errors of the neutron distributions are estimated in a model independent fashion in Refs.…”

Section: Methodsmentioning

confidence: 99%

Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D66, 096002 (2002)]

Kitano¹,

Koike²,

Okada³

2007

Phys. Rev. D

271

455

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The coherent µ-e conversion rates in various nuclei are calculated for general lepton flavor violating interactions. We solve the Dirac equations numerically for the initial state muon and the final state electron in the Coulomb force, and perform the overlap integrals between the wave functions and the nucleon densities. The results indicate that the conversion branching ratio increases for a light nucleus up to the atomic number Z ∼ 30, is largest for Z = 30 -60, and becomes smaller for a heavy nucleus with Z 60. We also discuss the uncertainty from the input proton and neutron densities. The atomic number dependence of the conversion ratio calculated here is useful to distinguish theoretical models with lepton flavor violation. *

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“…It is also known that the neutron skin thickness is strongly correlated with the nuclear symmetry energy [7,9]. Reliable neutron distributions are also needed for analyses of atomic parity violation experiments [10,11] and of pionic states in nuclei [12].Several attempts have been made to determine neutron distributions [2,13,14,15,16]. Ray et al analyzed proton elastic scattering on several nuclei at 800 MeV using impulse approximation and obtained a neutron thickness of 0.09 ± 0.07 fm for An alternative method for determining the neutron rms radius is provided by the model-independent sum rule strength of charge exchange spin-dipole (SD) excitations [19].…”

mentioning

confidence: 99%

“…Several attempts have been made to determine neutron distributions [2,13,14,15,16]. Ray et al analyzed proton elastic scattering on several nuclei at 800 MeV using impulse approximation and obtained a neutron thickness of 0.09 ± 0.07 fm for An alternative method for determining the neutron rms radius is provided by the model-independent sum rule strength of charge exchange spin-dipole (SD) excitations [19].…”

mentioning

confidence: 99%

Neutron skin thickness ofZr90determined by charge exchange reactions

2006

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Charge exchange spin-dipole (SD) excitations of 90 Zr are studied by the 90 Zr(p, n) and 90 Zr(n, p) reactions at 300 MeV. A multipole decomposition technique is employed to obtain the SD strength distributions in the cross section spectra. For the first time, a model-independent SD sum rule value is obtained: 148 ± 12 fm 2 . The neutron skin thickness of 90 Zr is determined to be 0.07 ± 0.04 fm from the SD sum rule value.PACS numbers: 21.10. Gv, 24.30.Cz, 25.40.Kv, 27.60.+j Proton and neutron distributions are among the most fundamental properties of nuclei. Proton distributions are precisely known from the charge distributions determined by electron scattering [1]. On the other hand, our knowledge of neutron distributions, which have been studied mainly by hadron-nucleus scattering, is limited because descriptions of strong interactions in nuclei are highly model-dependent [2]. Reliable neutron distributions will improve the understanding of the nucleus and nuclear matter [3,4,5,6,7]. Recent theoretical studies using the Skyrme Hartree-Fock (HF) and relativistic mean-field models [3,4,8] have shown that the neutron skin thickness, defined as the difference between the root mean square (rms) radii of the proton and neutron distributions, imposes a strict constraint on the neutron matter equation of state, which is an important ingredient in studies of neutron stars [5,6]. It is also known that the neutron skin thickness is strongly correlated with the nuclear symmetry energy [7,9]. Reliable neutron distributions are also needed for analyses of atomic parity violation experiments [10,11] and of pionic states in nuclei [12].Several attempts have been made to determine neutron distributions [2,13,14,15,16]. Ray et al. analyzed proton elastic scattering on several nuclei at 800 MeV using impulse approximation and obtained a neutron thickness of 0.09 ± 0.07 fm for An alternative method for determining the neutron rms radius is provided by the model-independent sum rule strength of charge exchange spin-dipole (SD) excitations [19]. The operators for SD transitions are definedwith the isospin operators t 3 = t z , t ± = t x ± it y . The model-independent sum rule is derived aswhere S ± are the total SD strengths. The mean square radii of the neutron and proton distributions are denoted as r 2 n and r 2 p , respectively. Thus, the rms radius of the neutron distribution r 2 n or the neutron skin thickness δ np = r 2 n − r 2 p can be derived from Eq. (2) by using the rms radius of the proton distribution r 2 p obtained from the charge radius if the sum rule value (S − − S + ) is obtained experimentally.To obtain the SD sum rule value, Krasznahorkay et al. measured the ( 3 He, t) reaction on tin isotopes at 450 MeV [20]. The cross section spectra at θ = 1• were analyzed by a peak fitting technique assuming the Lorentzian shape, and the S − value was obtained. Since there was no (n, p)-type measurement, they determined the S + value by assuming the energy-weighted sum rule in a simple model where the unperturbed particl...

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Analysis of 0.8-GeV polarized-proton elastic scattering fromPb208,Zr

Cited by 46 publications

References 18 publications

Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances

Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances

Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D66, 096002 (2002)]

Neutron skin thickness ofZr90determined by charge exchange reactions

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