Eikonal Reaction Theory for Neutron Removal Reaction

Yahiro, Masanobu; Ogata, Kazuyuki; Minomo, Kosho

doi:10.1143/ptp.126.167

Cited by 34 publications

(94 citation statements)

References 39 publications

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“…A nonadiabatic treatment of the Coulomb breakup processes is needed to correctly describe the effect of the long-range Coulomb force. Though several attempts to avoid the divergence are performed in a few-body system [41][42][43][44][45], they are too computer-time expensive to apply to a nucleus-nucleus case. A simple, practical way to avoid the divergence problem is to replace the Coulomb phase that leads to the divergence by a divergence-free perturbative term assuming the dominance of the E1 field.…”

Section: B Equivalent-photon Methodsmentioning

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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Section: B Equivalent-photon Methodsmentioning

confidence: 99%

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

et al. 2016

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“…The def-WS model with AMD deformation is thus a handy way of simulating AMD or AMD-RGM densities. The def-WS model with AMD deformation also reproduces measured σ R for [24][25][26][27][28][29][30][31][32][33][34][35][36] Mg [18]. As another advantage of the def-WS model, one can fine tune the theoretical result to the experimental data precisely by changing the potential parameters or the deformation parameter slightly.…”

Section: Introductionmentioning

confidence: 93%

“…Very recently, the folding model with AMD projectile density succeeded in reproducing measured σ I for [28][29][30]32 Ne by virtue of large deformation of the projectiles [36]. For 31 Ne, the theoretical calculation underestimated measured σ I by about 3%.…”

Section: Introductionmentioning

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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“…For this reason, the model has been applied to light targets. Lately a way of making Coulomb corrections to Glauber-model calculations was proposed [7,8]; the divergent dipole component of the eikonal Coulomb phase is replaced by that estimated by the first-order perturbation.The Coulomb problem is solved by the eikonal reaction theory (ERT) [17,18] in which Coulomb breakup is treated accurately with the continuum discretized coupledchannels method (CDCC) [19][20][21]. For one-proton andneutron removal cross sections of deuteron scattering at 200 MeV/nucleon, the Glauber-model results are found to be largely deviated from the ERT results for heavier targets [18].…”

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confidence: 99%

“…In Ref. [17], ERT was applied to recently measured one-neutron removal cross sections for 31 Ne scattering from 12 C and 208 Pb targets at 230 MeV/nucleon [22]. Spectroscopic factors and asymptotic normalization coefficients for the 30 Ne + n bound system are consistently deduced from the measured cross sections for both the light and heavy targets.…”

mentioning

confidence: 99%

Eikonal reaction theory for two-neutron removal reactions

et al. 2014

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The eikonal reaction theory (ERT) proposed lately is a method of calculating one-neutron removal reactions at intermediate incident energies in which Coulomb breakup is treated accurately with the continuum discretized coupled-channels method. ERT is extended to two-neutron removal reactions. ERT reproduces measured oneand two-neutron removal cross sections for 6 He scattering on 12 C and 208 Pb targets at 240 MeV/nucleon and also on a 28 Si target at 52 MeV/nucleon. For the heavier target in which Coulomb breakup is important, ERT yields much better agreement with the measured cross sections than the Glauber model. PACS numbers: 24.10.Eq, 25.60.Gc, 25.70.De Introduction. Removal reactions are a quite useful tool for investigating structure of valence nucleons in weakly-bound nuclei such as one-and two-neutron halo nuclei. Spectroscopic factors and orbital angular momenta of valence nucleons in incident nuclei can be deduced from the removal reactions; see for example Ref. [1]. In particular, two-neutron removal reactions are crucial for analyzing two-neutron correlations between valence neutrons. The two-neutron removal reactions were investigated for light targets [2][3][4] with the Glauber model [5].The Glauber model is based on the eikonal and adiabatic approximations. The theoretical foundation of the model is shown in Ref. [6]. Once Coulomb breakup is taken into account in the Glauber model, the calculated removal cross sections diverge because of the adiabatic approximation. For this reason, the model has been applied to light targets. Lately a way of making Coulomb corrections to Glauber-model calculations was proposed [7,8]; the divergent dipole component of the eikonal Coulomb phase is replaced by that estimated by the first-order perturbation.The Coulomb problem is solved by the eikonal reaction theory (ERT) [17,18] in which Coulomb breakup is treated accurately with the continuum discretized coupledchannels method (CDCC) [19][20][21]. For one-proton andneutron removal cross sections of deuteron scattering at 200 MeV/nucleon, the Glauber-model results are found to be largely deviated from the ERT results for heavier targets [18]. In Ref. [17], ERT was applied to recently measured one-neutron removal cross sections for 31 Ne scattering from 12 C and 208 Pb targets at 230 MeV/nucleon [22]. Spectroscopic factors and asymptotic normalization coefficients for the 30 Ne + n bound system are consistently deduced from the measured cross sections for both the light and heavy targets. The analysis for both light and heavy thus makes it possible to determine spectroscopic factors and asymptotic normalization coefficients of valence neutrons definitely.Scattering of three-body projectiles such as 6 He can be described by the four-body model composed of three constituents of projectile and a target. Four-body CDCC [9-13] is a method of treating projectile breakup in the four-body scattering. Four-body CDCC was applied so far to elastic scattering and exclusive breakup reactions of 6 He from 12 C and 208 Pb targ...

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Eikonal Reaction Theory for Neutron Removal Reaction

Cited by 34 publications

References 39 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

Ground-state properties of neutron-rich Mg isotopes

Eikonal reaction theory for two-neutron removal reactions

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