Neutron Cross Sections of Calcium and Potassium from 2 to 8 MeV

Reber, J.D.; Brandenberger, J.D.

doi:10.1103/physrev.163.1077

Cited by 38 publications

(8 citation statements)

References 8 publications

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“…Experimental data are taken from Refs. [55][56][57][58][59][60][61][62][63][64][65]. The TALYS reaction code is used to calculate all scattering observables.…”

Section: Resultsmentioning

confidence: 99%

Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials

2019

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We formulate microscopic neutron-nucleus optical potentials from many-body perturbation theory based on chiral two-and three-body forces. The neutron self energy is first calculated in homogeneous matter to second order in perturbation theory, which gives the central real and imaginary terms of the optical potential. The real spin-orbit term is calculated separately from the density matrix expansion using the same chiral interaction as in the self energy. Finally, the full neutronnucleus optical potential is derived within the improved local density approximation utilizing mean field models consistent with the chiral nuclear force employed. We compare the results of the microscopic calculations to phenomenological models and experimental data up to projectile energies of E = 200 MeV. Experimental elastic differential scattering cross sections and vector analyzing powers are generally well reproduced by the chiral optical potential, but we find that total cross sections are overestimated at high energies.

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“…Experimental data are taken from Refs. [55][56][57][58][59][60][61][62][63][64][65]. The TALYS reaction code is used to calculate all scattering observables.…”

Section: Resultsmentioning

confidence: 99%

Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials

2019

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“…Fig. 4 compares the calculated differential cross sections for elastic scattering of neutrons on 40 Ca at 5.3, 5.9, 6.5, and 7.9 MeV with the experimental data (Reber and Brandenberger, 1967), the compound elastic contribution (Johnson and Mahaux 1988) being subtracted. Fig.…”

Section: Calculation Of the Scattering And Bound State Datamentioning

confidence: 99%

“…In this section, we verify the predictive power of the global potential (2,10,(15)(16)(17)(18)20,21 3, 5.9, 6.5, and 7.9 MeV with the experimental data (Reber and Brandenberger, 1967), the compound elastic contribution (Johnson and Mahaux 1988) being subtracted. Fig.…”

Section: Calculation Of the Scattering And Bound State Datamentioning

confidence: 99%

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Nucleon–nucleus real potential of Woods–Saxon shape between 60 and 60 MeV for the 40 A 208 nuclei

Беспалова

Romanovsky

Spasskaya

2003

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

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The nucleon differential elastic scattering cross sections, the total proton reaction cross sections, and the single-particle energies of nucleon bound states for 40 Ca, 90 Zr, and 208 Pb nuclei are reanalyzed in terms of the dispersive optical model at energies ranging from -75 MeV to 60 MeV. The resultant real effective Woods-Saxon potential, which corresponds to the dispersive potential, is studied as dependent on A, Z, and E and on projectile specie (proton or neutron). For the first time, a parameterization of the Woods-Saxon real part of the nucleonnucleus optical potential is proposed for the 208 40 A nuclei at energy ranging from -60 MeV to +60 MeV, including a range near the Fermi energy. The parameterization reflects the dispersion relation between the real and imaginary parts of the optical model potential through the energy dependence of the radius parameter of the real part of the potential. The method to determine the imaginary part of the optical model potential, which is symmetrical relative to the Fermi energy, is also proposed for the 208 40 A nuclei. The differential elastic scattering cross sections, the total neutron interaction cross sections, the total proton reaction cross sections, and the single-particle energies of the nucleon bound states calculated in terms of the proposed nucleon-nucleus potential parameterization for some of the n,p+A ( 40 A) systems are compared with the available experimental data, yielding a fairly good agreement.

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“…Typically, these scattering phase-shifts are obtained analytically using either S-matrix [11] or Jost function [12] methods. Also, vast literature related to scattering phase shift calculations can be found in [13][14][15][16][17][18][19][20][21][22][23][24][25]. Recently there has been renewed interest in the application of phase function method (PFM) [21], [22] also called as Variable Phase Approach (VPA) which has been extensively used by Laha, et al [5], [7].…”

Section: Introductionmentioning

confidence: 99%

Neutron-Proton Scattering Phase Shifts in S-Channel using Phase Function Method for Various Two Term Potentials

Khachi

Kumar

Sastri

2021

J. Nucl. Phy. Mat. Sci. Rad. A.

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The scattering phase shifts for n-p scattering have been modeled using various two term exponential type potentials such as Malfliet-Tjon, Manning-Rosen and Morse to study the phase shifts in the S-channels. As a first step, the model arameters for each of the potentials are determined by obtaining binding energy of the deuteron using matrix methods vis-a-vis Variational Monte-Carlo (VMC) technique to minimize the percentage error w.r.t. the experimental value. Then, the first order ODE as given by phase function method (PFM), is numerically solved using 5th order Runge-Kutta (RK-5) technique, by substituting the obtained potentials for calculating phase shifts for the bound 3S1 channel. Finally, the potential parameters are varied in least squares sense using VMC technique to obtain the scattering phase-shifts for each of the potentials in the 1S0 channel. The numerically obtained values are seen to be matching with those obtained using other analytical techniques and a comparative analysis with the experimental values up to 300 MeV is presented.

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Neutron Cross Sections of Calcium and Potassium from 2 to 8 MeV

Cited by 38 publications

References 8 publications

Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials

Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials

Nucleon–nucleus real potential of Woods–Saxon shape between 60 and 60 MeV for the 40 A 208 nuclei

Neutron-Proton Scattering Phase Shifts in S-Channel using Phase Function Method for Various Two Term Potentials

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