Probing neutron-skin thickness with total reaction cross sections

Horiuchi, W.; Suzuki, Y.; Inakura, Tsunenori

doi:10.1103/physrevc.89.011601

Cited by 51 publications

(117 citation statements)

References 35 publications

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“…III E, our model well reproduces 044611-10 the experimental cross sections. Therefore, by extending the projectile from medium to heavy nuclei we can reexamine the proposal [26] to make use of the total reaction cross section on the proton target to extract the matter radius and the neutron-skin thickness. For this purpose we carefully analyze the dependence of σ R on those quantities.…”

Section: F Correlation Between Reaction Radius and Nuclear Sizesmentioning

confidence: 99%

“…and Y.S.) and Inakura proposed how to determine the matter radius and the neutron-skin thickness using σ R [26]. The idea of extracting the neutron-skin thickness is to make use of the different energy-dependences of neutron-proton (np) and proton-proton (pp) total cross sections that are basic ingredients to determine σ R .…”

Section: Introductionmentioning

confidence: 99%

“…[26] to heavier eveneven nuclei with mass number A = 40-214, we systematically analyze σ R and assess the applicability of the proposed method for extracting the matter radius and neutron-skin thickness of unstable nuclei. In this paper, we examine Ca, Ni, Zr, Sn, Yb, and Pb isotopes, including both spherical and deformed nuclei.…”

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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Section: F Correlation Between Reaction Radius and Nuclear Sizesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

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“…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.…”

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confidence: 99%

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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“…As seen above, the Glauber model gives reasonable results if the correct proton radius is used. Recently, Horiuchi et al have tested such behavior [29].…”

Section: ■■■mentioning

confidence: 99%

Proton Radius of ¹⁴Be from Measurement of Charge-Changing Cross Sections

Terashima¹,

Tanihata²,

Kanungo³

et al. 2015

Proceedings of the Conference on Advances in Radioactive Isotope Science (ARIS2014)

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Charge-changing cross sections for 7,[9][10][11][12]14 Be have been measured at 900A MeV on a carbon target. These cross sections are discussed both in terms of a geometrical and a Glauber model. From several different analyses of the cross sections, the proton distribution radius (proton radius) of 14 Be was determined for the first time to be 2.41 ± 0.04 fm. A large difference in the proton and neutron radii is found. The charge-changing cross sections and the proton distribution radii are compared to the results of fermionic molecular dynamics (FMD) and antisymmetrized molecular dynamics (AMD) under the Glauber model.

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Probing neutron-skin thickness with total reaction cross sections

Cited by 51 publications

References 35 publications

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

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

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

Proton Radius of ¹⁴Be from Measurement of Charge-Changing Cross Sections

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Probing neutron-skin thickness with total reaction cross sections

Cited by 51 publications

References 35 publications

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

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

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

Proton Radius of 14Be from Measurement of Charge-Changing Cross Sections

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Proton Radius of ¹⁴Be from Measurement of Charge-Changing Cross Sections