PROTON-NUCLEUS REACTION CROSS SECTIONS COMPUTED FROM ELASTIC-SCATTERING DATA

1967 ◽  
Vol 45 (4) ◽  
pp. 1497-1500 ◽  
Author(s):  
F. Sannes ◽  
D. G. Stairs

Proton-nucleus reaction cross sections in the energy region from 90 to 300 MeV are computed from elastic-scattering data. The interference of the nuclear scattering amplitude with the calculable Coulomb scattering amplitude determines the magnitude and phase of the nuclear amplitude when the differential elastic-scattering cross section is known. The reaction cross section is then obtained by an application of the optical theorem.

2018 ◽  
Vol 64 (3) ◽  
pp. 314
Author(s):  
Zuhair F. Shehadeh ◽  
Reham M. El-Shawaf

The data for elastically scattered charged pions from few nuclei, namely ^{12}C, ^{16}O, ^{28}Si, ^{32}S, ^{40}Ca, ^{56}Fe, ^{58}Ni, and ^{90}Zr have been analyzed by obtained potentials using a suggested scaling procedure. Originally the \pi ^{\pm}-^{12}C elastic scattering data at 50 MeV was nicely fitted by a parameterized simple local optical potential extracted from available phase shifts using inverse scattering theory. The potential parameters of the  \pi ^{\pm}-^{12}C systems were scaled to  \pi ^{\pm}-^{16}O systems and then successively to other few systems covering the scattering of charged pions from target nuclei, namely \pi ^{\pm}-^{28}Si, \pi ^{\pm}-^{32}S, \pi ^{\pm}-^{40}Ca, \pi ^{\pm}-^{56}Fe, \pi ^{\pm}-^{58}Ni and \pi ^{\pm}-^{90}Zr . The obtained scaled potentials showed a remarkable success in explaining the available measured elastic differential cross sections, and in predicting other ones for the systems under consideration. The reaction cross sections have been calculated for all these systems at the three incident pion's kinetic energies, T\pi = 40, 30, 20 MeV. Unfortunately, experimental reaction cross sections are totally absent or cloudy and unconfident. As such, and at this stage, we consider our calculated values useful and pending for future investigations.  For the systems and energies considered herein, simple scaling relations are well established. This will be beneficial in analyzing similar nuclear scattering data, as low-energy pion-nucleus and kaon-nucleus elastic scattering data; and, hopefully, in explaining pionic atom data.


2021 ◽  
Vol 57 (3) ◽  
Author(s):  
E. Vardaci ◽  
P. K. Rath ◽  
M. Mazzocco ◽  
A. Di Nitto ◽  
G. La Rana ◽  
...  

AbstractThe elastic scattering in the reaction $$^{7}$$ 7 Li+$$^{208}$$ 208 Pb was investigated in the bombarding energy range from 25 to 39 MeV. The real and imaginary parts of the optical potential were analyzed by using a phenomenological potential. A dispersion relation analysis is presented in order to investigate the threshold anomaly effect. It is concluded that $$^{7}$$ 7 Li has an intermediate behavior between the tightly bound nuclei such as $$^{16}$$ 16 O and the loosely bound nuclei such as $$^{6}$$ 6 Li where the lack of the threshold anomaly is unambiguously observed. Reaction cross sections are also extracted from the elastic scattering data and its comparison with the ones of other systems has been performed to draw hints on the effect of the breakup channel.


Author(s):  
H. M. Maridi ◽  
A. Pakou ◽  
K. Rusek

Differential cross-section data of elastic scattering for [Formula: see text]Be below a proton incident energy of 30[Formula: see text]MeV are evaluated by using two techniques. First, optical model analysis is performed and applied to the analyzing powers and reaction cross-sections to extract the optical potential parameters. Then, angular distributions of the differential cross-section are calculated with this potential and compared with the experimental data and normalization coefficients are extracted. Second, a consistent comparison between data sets with similar energies is considered in a minimization process to obtain another set of data normalization coefficients. The two techniques lead to similar normalized values for the existing data and consistently validate a body of low-energy data that can be safely used for further theoretical studies. Furthermore, the systematic behavior and energy dependence of the volume integral are determined as well as the energy dependence of the reaction cross-sections is predicted.


2016 ◽  
Vol 94 (1) ◽  
pp. 95-101 ◽  
Author(s):  
Z.F. Shehadeh

The differential and reaction cross sections for alpha–alpha elastic scattering at energies ranging from 50 to 120 MeV (lab. system) have been clearly explained for the first time, by using a new optical potential type. This potential, which is different from all other proposed potentials, is composed of two real parts: one is an attractive squared Woods–Saxon and the other is a repulsive core of the Woods–Saxon form in addition to a surface Woods–Saxon form for the imaginary part. The nature of the real part has been determined from available phase shifts through using inverse scattering theory for the identical particles at a fixed energy, adopting the framework of the Schrödinger equation. It is found that the repulsive real part is essential for improving the fit to the measured elastic differential cross sections, and in explaining the kink that appears at r < 1.0 fm in the shape of the real part of the potential. Using this new potential, our calculated reaction cross sections are in reasonable agreement with the ones reported by both Darriulat et al. (Phys. Rev. 137, B315 (1965). doi:10.1103/PhysRev.137.B315) and Brown and Tang (Nucl. Phys. A, 170, 225 (1971). doi:10.1016/0375-9474(71)90633-6 ).


1977 ◽  
Vol 30 (2) ◽  
pp. 149 ◽  
Author(s):  
BN Nagorcka ◽  
GD Symons ◽  
PB Treacy ◽  
IC Maclean

Elastic scattering and total reaction cross sections (via y ray yields) have been measured for 160+ 12C in the c.m. energy range 5� 5-10,0 MeV. Some well-defined structure is observed, with peak widths of order 250 keV. An optical potential which fits peaks in the total reaction cross section is shown to be inadequate to explain the elastic scattering data. Possible reasons for this inconsistency, which imply the need for a more general optical potential, are discussed.


1975 ◽  
Vol 12 (1) ◽  
pp. 149-155 ◽  
Author(s):  
John M. Alexander ◽  
H. Delagrange ◽  
A. Fleury

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
J. C. Zamora ◽  
V. Guimarães ◽  
A. Barioni ◽  
A. Lépine-Szily ◽  
R. Lichtenthäler ◽  
...  

2019 ◽  
Vol 21 ◽  
pp. 160
Author(s):  
A. Kalamara ◽  
R. Vlastou ◽  
M. Diakaki ◽  
M. Kokkoris ◽  
M. Anastasiou ◽  
...  

The 241Am(n,2n)240Am reaction cross section has been measured at neutron beam energy 17.5 MeV, relative to the 27Al(n,α)24Na, 197Au(n,2n)196Au and 93Nb(n,2n)92mNb reference reaction cross sections, using the activation technique. The irradiation was carried out at the Van der Graaff 5.5 MV Tandem accelerator laboratory of NCSR “Demokritos” with monoenergetic neutron beam provided by means of the 3H(d,n)4He reaction, implementing a new Ti-tritiated target. The high purity Am target has been constructed at IRMM, Geel, Belgium and consisted of 40 mg 241Am in the form of AmO2 pressed into pellet with Al2O3 and encapsulated into Al container. Due to this high radioactivity (5 GBq), the Am target was enclosed in a Pb container for safety reasons. After the end of the irradiation, the activity induced by the neutron beam at the target and reference foils, was measured off-line by two 100%, a 50% and a 16% relative efficiency, HPGe detectors.


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