Multiple diffractive analysis of elastic and inelastic scattering by 1 GeV protons on 12C, 58Ni, and 208Pb

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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“…This is nothing but the expression of the eikonal version of the distorted-waveimpulse approximation (DWIA) [32,33].…”

Section: Approximations Of the Glauber Amplitudementioning

confidence: 99%

Complete Glauber calculations for proton–nucleus inelastic cross sections

Hatakeyama

Horiuchi

2019

Nuclear Physics A

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“…These form factors can also be used in the description of the scattering of hadrons by nuclei, as in the calculations of Alexander and Rinat (1974) and Boridy and Feshbach (1974). We define the generalized electric multipole operators for the isoscalar case as…”

Section: Electroexcitation Of Nuclei (A) Longitudinal Form Factormentioning

confidence: 99%

Properties of the Inelastic Form Factors of the Nucleus

Koo¹,

Tassie²

1978

Aust. J. Phys.

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Based on an inversion formula for the energy-weighted sum rules, a study is made of the properties of the inelastic form factors of the nucleus. The inversion formula is derived by using a simple representation of the identity operator for a restricted set of non-orthogonal states and it is applicable to both isoscalar and isovector transitions. As a result, it is shown that the longitudinal form factor for a particular multipolarity cannot be explicitly factorized into a product of a function of momentum transfer and a function of excitation energy over the entire range of momentum transfer. Further, the ambiguity arising out of the use of the hydrodynamical model to assign spins of giant resonances is illustrated, taking the isovector electric dipole form factor as an example.

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Medium Energy Inelastic Hadron Scattering and Nuclear Structure

Weber

1976

Fortschr. Phys.

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Multiple diffractive analysis of elastic and inelastic scattering by 1 GeV protons on 12C, 58Ni, and 208Pb

Cited by 26 publications

References 30 publications

Complete Glauber calculations for proton–nucleus inelastic cross sections

Complete Glauber calculations for proton–nucleus inelastic cross sections

Properties of the Inelastic Form Factors of the Nucleus

Medium Energy Inelastic Hadron Scattering and Nuclear Structure

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