Examination of the 
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 radius determination with interaction cross sections

Nagahisa, T.; Horiuchi, W.

doi:10.1103/physrevc.97.054614

Cited by 39 publications

(52 citation statements)

References 67 publications

(229 reference statements)

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“…The obtained radius is 2.983 fm with the real-energy discrete s-states and 3.139 fm with continuum GHF s-wave. The experimental estimated matter radius was 5.4 ± 0.9 fm in an earlier work [32] and it is 3.44±0.08 fm [35] and 3.38±0.10 fm [57] in the later works. We see that the continuum s-wave plays an important role in the calculation of the radius and the halo structure.…”

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confidence: 72%

Ab initio Gamow in-medium similarity renormalization group with resonance and continuum

Sun

et al. 2019

Phys. Rev. C

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We have developed a novel ab initio Gamow in-medium similarity renormalization group (Gamow IMSRG) in the complex-energy Berggren framework. The advanced Gamow IMSRG is capable of describing the resonance and nonresonant continuum properties of weakly-bound and unbound nuclear many-body systems. As test grounds, carbon and oxygen isotopes have been calculated with chiral two-and three-nucleon forces from the effective field theory. Resonant states observed in the neutron-dripline 24 O are well reproduced. The halo structure of the known heaviest Borromean nucleus 22 C is clearly seen by calculating the density distribution, in which continuum s-channel plays a crucial role. Further, we predict low-lying resonant excited states in 22 C. The Gamow IMSRG provides tractable ab initio calculations of weakly-bound and unbound open quantum systems. * frxu@pku.edu.cnIntroduction.− Thanks to advanced radioactive beam facilities, loosely-bound and unbound nuclei with extreme neutron-to-proton ratios have been explored in an unprecedented way. The nuclei belong to the category of open quantum systems in which the coupling to the particle continuum profoundly affects the behavior of the system [1, 2]. Many novel phenomena have been observed or predicted in the exotic nuclei, such as halos [3, 4], genuine intrinsic resonances [5, 6] and new collective modes [7,8]. To include the continuum effect, several models have been developed, e.g., the continuum shell model (CSM) [1,9,10], the Gamow shell model [5, 6], the complex coupled cluster (CC) [11,12] and the continuumcoupled shell model [13].Current nuclear theory is pursuing ab initio calculations which are based on realistic nuclear forces and rigorous many-body methods. However, it is always a big challenge to develop an ab initio method to efficiently describe the continuum. As one of powerful ab initio renormalizations of interacting Hamiltonians, similarity renormalization group (SRG) was proposed independently by G lazek and Wilson [14] and by Wegner [15]. Later, Bogner et al. [16, 17] applied the SRG method to softening nuclear forces for ab initio calculations. Recently, the SRG method was developed as a new many-body method in nuclear configuration space, named in-medium SRG (IMSRG) [18, 19]. The IMSRG can directly give the ground-state properties of closed-shell nuclei [18], and as well be used to derive non-perturbative effective Hamiltonians for the descriptions of excited states or open-shell nuclei [20,21]. The IMSRG has been developed further, including multi-reference IMSRG [22], IMSRG using an ensemble reference [23], equation-of-motion IMSRG (EOM-IMSRG) [24,25] and IMSRG merging no-core shell model [26]. The IMSRG has become a powerful and predictive ab initio method. However, all the existing IMSRG calculations are performed in the harmonic oscillator (HO) or real-energy Hartree-Fock (HF) basis (here the real-energy HF means that the HF approach is performed in the HO basis). The HO basis is bound and localized, and hence isolated from the environment of un...

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confidence: 72%

Ab initio Gamow in-medium similarity renormalization group with resonance and continuum

Sun

et al. 2019

Phys. Rev. C

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“…As exemplified in Refs. [24][25][26]28,29], the OLA works well for many cases of nucleon-nucleus scattering. The multiple scattering effect would be neglected and even becomes smaller for systems involving medium to heavy nuclei as was shown in Refs.…”

Section: Elastic Scattering Differential Cross Section In the Glamentioning

confidence: 99%

“…Evaluation of e iχ(b) is in general difficult because it involves multiple integration [19]. Though it could be possible to perform the integration by using a Monte Carlo technique [24,25] or a factorization procedure by using a Slater determinant wave function [26][27][28][29], we, however, employ the optical-limit approximation (OLA) for the sake of simplicity. The phase-shift function of the OLA is given as the leading order of the cumulant expansion of the full phase-shift function [19,30] …”

Section: Elastic Scattering Differential Cross Section In the Glamentioning

confidence: 99%

Nuclear surface diffuseness revealed in nucleon-nucleus diffraction

2018

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The nuclear surface provides useful information on nuclear radius, nuclear structure, as well as properties of nuclear matter. We discuss the relationship between the nuclear surface diffuseness and elastic scattering differential cross section at the first diffraction peak of high-energy nucleon-nucleus scattering as an efficient tool in order to extract the nuclear surface information from limited experimental data involving short-lived unstable nuclei. The high-energy reaction is described by a reliable microscopic reaction theory, the Glauber model. Extending the idea of the black sphere model, we find one-to-one correspondence between the nuclear bulk structure information and proton-nucleus elastic scattering diffraction peak. This implies that we can extract both the nuclear radius and diffuseness simultaneously, using the position of the first diffraction peak and its magnitude of the elastic scattering differential cross section. We confirm the reliability of this approach by using realistic density distributions obtained by a mean-field model.

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“…By introducing appropriate approximations, the theory successfully reproduced the observed cross sections of the unstable nuclei and revealed the evolution of the nuclear deformation in the neutron-rich isotopes [10,11]. However, the complete and approximated Glauber amplitudes significantly deviate in case of halo nuclei where the nuclear surface is very much extended [12,13,14,15]. Since the inelastic scattering occurs mainly around the nuclear surface, the complete evaluation of the Glauber amplitude which includes all the multistep processes in the Glauber theory will be necessary for a more reliable description of the scattering processes.…”

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confidence: 97%

Complete Glauber calculations for proton–nucleus inelastic cross sections

Hatakeyama

Horiuchi

2019

Nuclear Physics A

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We perform a parameter-free calculation for the high-energy proton-nucleus scattering based on the Glauber theory. A complete evaluation of the so-called Glauber amplitude is made by using the factorization of the single-particle wave functions. The multiple-scattering or multistep processes are fully taken into account within the Glauber theory. We demonstrate that proton-12 C, 20 Ne, and 28 Si elastic and inelastic scattering (J π = 0 + → 2 + and 0 + → 4 + ) processes are very well described in a wide range of the incident energies from ∼ 50 MeV to ∼ 1 GeV. We evaluate the validity of a simple one-step approximation and find that the approximation works fairly well for the inelastic 0 + → 2 + processes but not for 0 + → 4 + where the multistep processes become more important.As an application, we quantify the difference between the total reaction and interaction cross sections of proton-12 C, 20 Ne, and 28 Si collisions.

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Examination of the C22 radius determination with interaction cross sections

Cited by 39 publications

References 67 publications

Ab initio Gamow in-medium similarity renormalization group with resonance and continuum

Ab initio Gamow in-medium similarity renormalization group with resonance and continuum

Nuclear surface diffuseness revealed in nucleon-nucleus diffraction

Complete Glauber calculations for proton–nucleus inelastic cross sections

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