Erratum: Systematic analysis of reaction cross sections of carbon isotopes [Phys. Rev. C<b>75</b>, 044607 (2007)]

Horiuchi, W.; Suzuki, Y.; Abu-Ibrahim, B.; Kohama, Akihisa

doi:10.1103/physrevc.76.039903

Cited by 75 publications

(147 citation statements)

References 30 publications

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“…The isotope dependence of r n shows a pattern considerably different from that of Refs. [24,29]. As seen in Fig.…”

Section: -2supporting

confidence: 50%

“…(9) tends to be larger than experiment. Figure 1 displays σ dir cc as well as σ R of 12 C + 12 C as a function of E. Here σ R is calculated in the nucleon-target formalism in the Glauber model (NTG) [23,24], which performs slightly better than OLA. Both the magnitude and energy dependence of σ R or the interaction cross section (σ I ) are reproduced very well.…”

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confidence: 99%

“…More accurate data are needed to examine the energy dependence of σ cc before introducing the E-dependent factor [4,5]. [24]. The σ cc data are taken from Ref.…”

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confidence: 99%

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Parameter-free calculation of charge-changing cross sections at high energy

Suzuki¹,

Horiuchi²,

Terashima³

et al. 2016

Phys. Rev. C

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Charge-changing cross sections at high energies are expected to provide useful information on nuclear charge radii. No reliable theory to calculate the cross section has yet been available. We develop a formula using Glauber and eikonal approximations and test its validity with recent new data on carbon isotopes measured at around 900A MeV. We first confirm that our theory reproduces the cross sections of 12,13,14 C + 12 C consistently with the known charge radii. Next we show that the cross sections of 12−19 C on a proton target are all well reproduced provided the role of neutrons is accounted for. We also discuss the energy dependence of the charge-changing cross sections. DOI: 10.1103/PhysRevC.94.011602 A study of unstable nuclei is one of the fields that have been promoted most intensively. Charge distribution or charge radius, among others, is one of the fundamental quantities to characterize the ground-state properties of nuclei. Electron scattering measurement is ideal for probing the distribution but so far not applicable to short-lived unstable nuclei. We note, however, that the electron-ion scattering experiment will be available in the near future, as planned in Refs. [1,2]. Isotope shift measurement allows us to precisely deduce the charge (proton) radius for some limited unstable nuclei. The measurement of the charge-changing cross section (CCCS) newly appears as a potential means to extract the proton radius since it has the great advantage that the cross section can be measured for almost all nuclei by the same setup as the total reaction or interaction cross section that plays a decisive role in determining the nuclear matter radius [3]. In fact the CCCS has recently been measured to get information on the proton radii of light unstable nuclei [4][5][6][7][8].A theoretical tool for extracting the matter radius from the high-energy total reaction cross sections is well established with the help of Glauber theory [9]. See Refs. [10,11] for a useful application to determining both proton and neutron radii. The reaction mechanism for the charge-changing reaction (CCR) is, however, not well understood and energydependent adjustments are introduced to analyze the CCCS data [4][5][6]12], which makes it difficult to obtain proton radii from the measurement. The purpose of this paper is to show * Present address: Department of Physics, Niigata University, Niigata 950-2181, Japan.that recent new CCCS data of carbon isotopes on both 12 C [13] and proton targets are all satisfactorily reproduced in the framework of the Glauber and eikonal models. The role of neutrons becomes evident for the proton target. This is an important step toward constructing a method of analyzing CCCSs with the use of no adjustable parameters.The total reaction cross section can be calculated bywhere b is a two-dimensional (2D) impact parameter vector perpendicular to the beam (z) direction, |0 = |0 P 0 T is a product of the projectile and target ground-state wave functions, and, e.g., χ p is a sum of the phase-shift functions χ...

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“…The isotope dependence of r n shows a pattern considerably different from that of Refs. [24,29]. As seen in Fig.…”

Section: -2supporting

confidence: 50%

mentioning

confidence: 99%

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Parameter-free calculation of charge-changing cross sections at high energy

Suzuki¹,

Horiuchi²,

Terashima³

et al. 2016

Phys. Rev. C

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“…[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]. We fit these densities by several Gaussian functions, and tabulate the parameters in Supplemental Material [39].…”

Section: A Total Reaction Cross Section With Glauber Modelmentioning

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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“…The root mean square matter radii of 22,23 O were derived through a Glauber model analysis of the data including the higher order terms that are missing in the optical limit approximation [10]. The calculations were done using two different parametric forms of the density distributions.…”

Section: Resultsmentioning

confidence: 99%