Total charge and mass changing cross sections of relativistic nuclei in hydrogen, helium, and carbon targets

Webber, W. R.; Kish, J. C.; Schrier, D. A.

doi:10.1103/physrevc.41.520

Cited by 190 publications

(144 citation statements)

References 11 publications

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“…Both the magnitude and energy dependence of σ R or the interaction cross section (σ I ) are reproduced very well. As for σ dir cc , the calculation reasonably well reproduces the measured cross sections [25]. The σ cc data at 300A-400A MeV are, however, very much scattered.…”

supporting

confidence: 62%

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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supporting

confidence: 62%

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

Suzuki¹,

Horiuchi²,

Terashima³

et al. 2016

Phys. Rev. C

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“…[1]). Here, as an example, we investigate the energy dependence of the charge changing cross section for the 56 Fe projectile on the 12 C target.…”

Section: Energy Dependencementioning

confidence: 99%

“…Extensive experimental data [1][2][3][4] on the charge changing cross sections for several nuclei near the ␤ stability line exist in the literature. The currently available radioactive ion beam facilities help to produce, accelerate, and then use the beams of these radioactive nuclei as projectiles in further experimentation.…”

Section: Introductionmentioning

confidence: 99%

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Microscopic investigations of mass and charge changing cross sections

Bhagwat

Gambhir

2004

Phys. Rev. C

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The mass and the charge changing cross sections recently measured in inverse kinematics are investigated microscopically in the framework of Glauber model using the ground state point proton/neutron densities obtained in the relativistic mean field/relativistic Hartree-Bogoliubov approach. As illustrative examples, explicit results for the nuclei spanning different regions of the periodic table, incident on 12 C, hydrogen, and −CH 2 targets are presented. The present study gives an excellent account of the experiment.

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“…The matter radius can be extracted from nuclear interaction cross sections [1] and it was shown that the charge-changing cross sections show a Z dependency that is very similar to nuclear radii measured by electron scattering [2]. While charge-changing cross sections were investigated for nuclei close to the valley of stability [3] primarily for astrophysical applications, only a few attempts were made to extract charge distribution information for very exotic isotopes [4,5,6]. Isotope shift measurements using optical spectroscopy can provide nuclear-model independent information on the nuclear charge radius and, thus, on the proton distribution in the nucleus.…”

Section: Introductionmentioning

confidence: 99%

Isotope shift measurements in the 2s_1/2→ 2p_3/2transition of Be⁺and extraction of the nuclear charge radii for^{7, 10, 11}Be

Žáková

Andjelkovic

Bissell

et al. 2010

J. Phys. G: Nucl. Part. Phys.

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Abstract. We have performed isotope shift measurements in the 2s 1/2 → 2p 3/2 transition of Be + ions using advanced collinear laser spectroscopy with two counterpropagating laser beams. Measurements involving a frequency comb for laser stabilization and absolute frequency determination allowed us to determine the isotope shifts with an accuracy of 2 MHz. From the isotope shifts between 9 Be and 7,10,11 Be, high-accuracy mass shift calculations and the charge radius of the reference isotope 9 Be we determined nuclear charge radii for the isotopes 7,10 Be and the one-neutron halo nucleus 11 Be. The results are compared to nuclear-structure calculations using the Fermionic Molecular Dynamics model which reproduce well the general trend of the radii. Decreasing charge radii from 7 Be to 10 Be are explained by the cluster structure of the nuclei. The increase from 10 Be to 11 Be is mainly caused by the halo neutron by which the 10 Be core moves relative to the center of mass. Polarization of the 10 Be core has only a small influence on the charge radius.

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Total charge and mass changing cross sections of relativistic nuclei in hydrogen, helium, and carbon targets

Cited by 190 publications

References 11 publications

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

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

Microscopic investigations of mass and charge changing cross sections

Isotope shift measurements in the 2s_1/2→ 2p_3/2transition of Be⁺and extraction of the nuclear charge radii for^{7, 10, 11}Be

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Total charge and mass changing cross sections of relativistic nuclei in hydrogen, helium, and carbon targets

Cited by 190 publications

References 11 publications

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

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

Microscopic investigations of mass and charge changing cross sections

Isotope shift measurements in the 2s1/2→ 2p3/2transition of Be+and extraction of the nuclear charge radii for7, 10, 11Be

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Isotope shift measurements in the 2s_1/2→ 2p_3/2transition of Be⁺and extraction of the nuclear charge radii for^{7, 10, 11}Be