Proton elastic scattering from tin isotopes at 295 MeV and systematic change of neutron density distributions

Terashima, S.; Sakaguchi, H.; Takeda, Hiroyuki; Ishikawa, T.; Itoh, Masatoshi; Kawabata, T.; Murakami, T.; Uchida, M.; Yasuda, Yusuke; Yosoi, M.; Zenihiro, J.; Yoshida, H. P.; Noro, T.; Ishida, Takashi; Asaji, S.; Yonemura, T.

doi:10.1103/physrevc.77.024317

Cited by 95 publications

(50 citation statements)

References 44 publications

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“…In this paper we consider the targets, 1,2 H, 4 He, and 12 C. We use the 12 C density distribution obtained in Ref. [37], and the density distributions of 2 H, and 4 He obtained by few-body calculations with the Argonne V8' potential plus a central three-body force [38].…”

Section: A Total Reaction Cross Section With Glauber Modelmentioning

confidence: 99%

“…We make use of the following sources: the cross section of Ref. [66] for 2 H, the ab initio calculation [21] for 4 He, and the E1 strength function calculated by the Cb-TDHFB for 12 C. The lower panels of Fig. 5 exhibit the Coulomb breakup cross sections of these targets as a functions of N of the projectile.…”

Section: B Coulomb Breakup Cross Sections By Epmmentioning

confidence: 99%

“…The 12 C target, which is the most commonly used target, gives at most 6% of σ R for the Coulomb contribution. The 4 He target can be used as an alternative to the 12 C target, if a preparation for the target is easier than that for the proton target. The 2 H target has smallest charge but gives large Coulomb contribution due to the target dissociation.…”

Section: Contribution Of Coulomb Breakup To Total Reaction Cross Smentioning

confidence: 99%

“…However, other multipoles contribute as the incident energy decreases and calculating those responses for each nuclear system is not very practical. The Glauber model 2 H, (c) 4 He, and (d) 12 C. The SkM* interaction is used.…”

Section: Contribution Of Coulomb Breakup To Total Reaction Cross Smentioning

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%

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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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