Neutron density distributions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Pb</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>204</mml:mn><mml:mo>,</mml:mo><mml:mn>206</mml:mn><mml:mo>,</mml:mo><mml:mn>208</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>deduced via proton elastic scattering at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:

Zenihiro, J.; Sakaguchi, H.; Murakami, T.; Yosoi, M.; Yasuda, Yusuke; Terashima, S.; Iwao, Yuma; Takeda, Hiroyuki; Itoh, Masatoshi; Yoshida, H. P.; Uchida, M.

doi:10.1103/physrevc.82.044611

Cited by 229 publications

(245 citation statements)

References 63 publications

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“…Neutron skin thickness is also deduced from other measurements such as antiprotonic atoms (open circles) [58], giant dipole resonance (GDR) (open triangles) [59], spin dipole resonance (SDR) (open and closed diamonds) [60,61], and proton elastic scattering (ES) (closed squares) [62,63]. The AMD results are compared with the results of relativistic mean-field (RMF) calculations with NL3 interaction (small filled dots, whose average trend is represented by the dotted line) [65], and of deformed Skyrme-HF (def-SHF) calculations with SLy4 force (small open dots, whose average trend is represented by the dashed line) [64].…”

Section: B Matter Radii Of Mg Isotopesmentioning

confidence: 99%

Ground-state properties of neutron-rich Mg isotopes

et al. 2014

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We analyze recently measured total reaction cross sections for [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] Mg isotopes incident on 12 C targets at 240 MeV/nucleon by using the folding model and antisymmetrized molecular dynamics (AMD). The folding model well reproduces the measured reaction cross sections, when the projectile densities are evaluated by the deformed Woods-Saxon (def-WS) model with AMD deformation. Matter radii of [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] Mg are then deduced from the measured reaction cross sections by fine tuning the parameters of the def-WS model. The deduced matter radii are largely enhanced by nuclear deformation. Fully microscopic AMD calculations with no free parameter well reproduce the deduced matter radii for [24][25][26][27][28][29][30][31][32][33][34][35][36] Mg, but still considerably underestimate them for 37,38 Mg. The large matter radii suggest that 37,38 Mg are candidates for deformed halo nucleus. AMD also reproduces other existing measured ground-state properties (spin parity, total binding energy, and one-neutron separation energy) of Mg isotopes. Neutron-number (N ) dependence of deformation parameter is predicted by AMD. Large deformation is seen from 31 Mg with N = 19 to a drip-line nucleus 40 Mg with N = 28, indicating that both the N = 20 and 28 magicities disappear. N dependence of neutron skin thickness is also predicted by AMD.

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Section: B Matter Radii Of Mg Isotopesmentioning

confidence: 99%

Ground-state properties of neutron-rich Mg isotopes

et al. 2014

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“…Experimental data are taken from Refs. [13,[70][71][72][73][74][75][76][77][78][79][80][81][82][83][84].…”

Section: Fig 11 Elastic Differential Cross Sections Of P +mentioning

confidence: 99%

“…The cross section is accurately measured with recent intense beam facilities and the measurement now reaches beyond the sd-shell nuclei [9][10][11]. Compared to other methods, e.g., proton-nucleus scattering [12][13][14] and isotope shift measurements [15][16][17], the method has the great * whoriuchi@nucl.sci.hokudai.ac.jp advantage that it can be applied to almost all nuclei as long as they are produced in sufficient number. Furthermore, a theoretical model to evaluate high energy σ R values is well established.…”

Section: Introductionmentioning

confidence: 99%

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

et al. 2016

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Background: Proton and neutron radii are fundamental quantities of atomic nuclei. To study the sizes of short-lived unstable nuclei, there is a need for an alternative to electron scattering. Purpose: The recent paper by Horiuchi et al. [Phys. Rev. C 89, 011601(R) (2014)] proposed a possible way of extracting the matter and neutron-skin thickness of light-to medium-mass nuclei using total reaction cross section, σ R . The analysis is extended to medium to heavy nuclei up to lead isotopes with due attention to Coulomb breakup contributions as well as density distributions improved by paring correlation. Methods:We formulate a quantitative calculation of σ R based on the Glauber model including the Coulomb breakup. To substantiate the treatment of the Coulomb breakup, we also evaluate the Coulomb breakup cross section due to the electric dipole field in a canonical-basis-time-dependent-Hartree-Fock-Bogoliubov theory in the three-dimensional coordinate space. Results: We analyze σ R 's of 103 nuclei with Z = 20, 28, 40, 50, 70, and 82 incident on light targets, 1,2 H, 4 He, and 12 C. Three kinds of Skyrme interactions are tested to generate those wave functions. To discuss possible uncertainty due to the Coulomb breakup, we examine its dependence on the target, the incident energy, and the Skyrme interaction. The proton is a most promising target for extracting the nuclear sizes as the Coulomb excitation can safely be neglected. We find that the so-called reaction radius, a R = √ σ R /π, for the proton target is very well approximated by a linear function of two variables, the matter radius and the skin thickness, in which three constants depend only on the incident energy. We quantify the accuracy of σ R measurements needed to extract the nuclear sizes. Conclusions:The proton is the best target because, once the incident energy is set, its a R is very accurately determined by only the matter radius and neutron-skin thickness. If σ R 's at different incident energies are measured, one can determine both the proton and neutron radii for unstable nuclei as well. The total reaction cross sections calculated in this paper are given as Supplemental Material for the sake of future measurements.

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“…3, a value A pv = 0.715 ppm corresponds to a point located around the central region of the theoretical predictions for A pv in the considered models. It implies a central value for Δr np that lies both within the range between 0.15 and 0.22 fm suggested by the experiments with strong probes [73,37], and within the range between 0.14 and 0.20 fm suggested by recent constraints on the nuclear EOS derived from observed masses and radii of neutron stars [74,75]. While the latter constraints and a majority of studies point toward a fairly thin neutron skin in lead [28], it is to be mentioned that ruling out a thick neutron skin as suggested by the central value of the first run of PREX [53,62] could be premature [76].…”

Section: Discussion Of Results For the Parity Violating Asymmetry In mentioning

confidence: 99%

Density dependence of the nuclear symmetry energy from measurements of neutron radii in nuclei

Viñas¹,

Centelles²,

Roca-Maza³

et al. 2014

AIP Conference Proceedings

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Abstract. We study the density dependence of the nuclear symmetry energy, characterized by its slope parameter L, by means of the information provided by the neutron radius and the neutron skin thickness in finite nuclei. These quantities are extracted from the analysis of data obtained in antiprotonic atoms, from the parity-violating asymmetry at low-momentum transfer in polarized electron scattering in 208 Pb, and from the electric dipole polarizability obtained via polarized proton inelastic scattering at forward angles in 208 Pb. All these experiments provide different constraints on the slope L of the symmetry energy but the corresponding values have a considerable overlap in a range around 50 MeV ≤ L ≤ 70 MeV, in a reasonable agreement with other estimates that use different observables and methods to extract L.

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Neutron density distributions ofPb204,206,208deduced via proton elastic scattering atE

Cited by 229 publications

References 63 publications

Ground-state properties of neutron-rich Mg isotopes

Ground-state properties of neutron-rich Mg isotopes

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

Density dependence of the nuclear symmetry energy from measurements of neutron radii in nuclei

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