Neutron elastic scattering from 92, 96, 98, 100Mo between En = 7 and MeV

Rapaport, J.; Cheema, T.S.; Bainum, D.E.; Finlay, R.W.; Carlson, J. D.

doi:10.1016/0375-9474(79)90565-7

Cited by 46 publications

(30 citation statements)

References 14 publications

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“…Thanks to the relation (24), the calculation is simplified significantly and we obtain for the all local potentials in Eq. ( 22)…”

Section: Ii2 the Calculable R-matrix Methodsmentioning

confidence: 99%

“…OM descriptions of the neutron elastic scattering on 208 Pb target at 14.6, 20, 26, 30.3 and 40 MeV given by the calculable R-matrix method and other methods (see detailed discussion in text) using the nonlocal PB potential[9]. The experimental data were taken from Refs [22][23][24][25][26]…”

mentioning

confidence: 99%

“…OM descriptions of the neutron elastic scattering on 208 Pb target at the energies of 20, 26, 30.3, and 40 MeV given by the calculable R-matrix method using the nonlocal PB and TPM potential[9] and its energy dependent version[13]. The experimental data were taken from Refs [23][24][25][26]…”

mentioning

confidence: 99%

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R-matrix method and the nonlocal nucleon optical potential

Loan,

Phuc,

Khoa

2019

Preprint

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The calculable R-matrix method is applied to solve the Schrödinger equation in the optical model (OM) analysis of the elastic nucleon-nucleus scattering using a nonlocal nucleon optical potential (OP). The phenomenological nonlocal nucleon OP proposed by Perey and Buck (PB), and the two recent versions of the PB parametrization were used in the present OM study of the elastic nucleon scattering on 27 Al, 40 Ca, 48 Ca, 90 Zr, and 208 Pb targets at different energies. The comparison of the OM results given by the calculable R-matrix method with those given by other methods confirms that the calculable R-matrix method is an efficient tool for the OM study of the elastic nucleon-nucleus scattering using a nonlocal nucleon OP.

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“…Thanks to the relation (24), the calculation is simplified significantly and we obtain for the all local potentials in Eq. ( 22)…”

Section: Ii2 the Calculable R-matrix Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

R-matrix method and the nonlocal nucleon optical potential

Loan,

Phuc,

Khoa

2019

Preprint

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show abstract

“…Thanks to the relation (24), the calculation is simplified significantly and we obtain for the all local potentials in Eq. 22a 0…”

Section: The Calculable R-matrix Methodsmentioning

confidence: 99%

R-matrix method and the nonlocal nucleon optical potential

Loan¹,

Phuc²,

Khoa³

2018

Comm. in Phys.

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The calculable R-matrix method is applied to solve the Schr ̈odinger equationin the optical model (OM) analysis of the elastic nucleon-nucleus scatter-ing using a nonlocal nucleon optical potential (OP). The phenomenologicalnonlocal nucleon OP proposed by Perey and Buck (PB), and the two recentversions of the PB parametrization were used in the present OM study of theelastic nucleon scattering on 208 Pb and 27 Al targets at different energies. Thecomparison of the OM results given by the calculable R-matrix method withthose given by other methods confirms that the calculable R-matrix methodis an efficient tool for the OM study of the elastic nucleon-nucleus scatteringusing a nonlocal nucleon OP.

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“…Same as Fig. 6, but for neutron scattering off 100 Mo and 208 Pb along with the data [33][34][35][36].…”

Section: Mevmentioning

confidence: 99%

Taylor approximation to treat nonlocality in the scattering process

Upadhyay¹,

Bhagwat²

2018

Phys. Rev. C

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Study of scattering process in the nonlocal interaction framework leads to an integro-differential equation. The purpose of the present work is to develop an efficient approach to solve this integrodifferential equation with high degree of precision. The method developed here employs Taylor approximation for the radial wave function which converts the integro-differential equation in to a readily solvable second-order homogeneous differential equation. This scheme is found to be computationally efficient by a factor of 10 when compared to the iterative scheme developed in J. Phys. G Nucl. Part. Phys. 45, 015106 (2018). The calculated observables for neutron scattering off 24 Mg, 40 Ca, 100 Mo and 208 Pb with energies up to 10 MeV are found to be within at most 8% of those obtained with the iterative scheme. Further, we propose an improvement over the Taylor scheme that brings the observables so close to the results obtained by iterative scheme that they are visually indistinguishable. This is achieved without any appreciable change in the run time.PACS numbers: 21.60Jz, 25.40.Dn, 25.40.Fq

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Neutron elastic scattering from 92, 96, 98, 100Mo between En = 7 and MeV

Cited by 46 publications

References 14 publications

R-matrix method and the nonlocal nucleon optical potential

R-matrix method and the nonlocal nucleon optical potential

R-matrix method and the nonlocal nucleon optical potential

Taylor approximation to treat nonlocality in the scattering process

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