scholarly journals Elastic and Inelastic Alpha Transfer in the \(^{16}\)O+\(^{12}\)C Scattering

2021 ◽  
Vol 31 (4) ◽  
Author(s):  
Nguyen Tri Toan Phuc ◽  
Nguyen Hoang Phuc ◽  
Dao Tien Khoa
Keyword(s):  
Cross Section ◽  
Heavy Ion ◽  
Scattering Cross Section ◽  
Transition Strength ◽  
Valence Nucleon ◽  
The Core ◽  
Scattering Cross ◽  
Oscillatory Pattern ◽  
Low Energies ◽  
Reaction Channels

The elastic scattering cross section measured at energies \(E\lesssim 10\) MeV/nucleon for some light heavy-ion systems having two identical cores like \(^{16}\)O+\(^{12}\)C exhibits an enhanced oscillatory pattern at the backward angles. Such a pattern is known to be due to the transfer of the valence nucleon or cluster between the two identical cores. In particular, the elastic \(\alpha\) transfer has been shown to originate directly from the core-exchange symmetry in the elastic \(^{16}\)O+\(^{12}\)C scattering. Given the strong transition strength of the $2^+_1$ state of $^{12}$C and its large overlap with the $^{16}$O ground state, it is natural to expect a similar \(\alpha\) transfer process (or inelastic \(\alpha\) transfer) to take place in the inelastic \(^{16}\)O+\(^{12}\)C scattering. The present work provides a realistic coupled channel description of the \(\alpha\) transfer in the inelastic \(^{16}\)O+\(^{12}\)C scattering at low energies. Based on the results of the 4 coupled reaction-channels calculation, we show a significant contribution of the \(\alpha\) transfer to the inelastic \(^{16}\)O+\(^{12}\)C scattering cross section at the backward angles. These results suggest that the explicit coupling to the \(\alpha\) transfer channels is crucial in the studies of the elastic and inelastic scattering of a nucleus-nucleus system with the core-exchange symmetry.

scholarly journals ELASTIC AND INELASTIC ALPHA TRANSFER IN THE 16O+12C SCATTERING

2021 ◽  
Vol 31 (4) ◽  
Author(s):  
Phuc Hoang Nguyen ◽  
Phuc Tri Toan Nguyen ◽  
Khoa Tien Dao
Keyword(s):  
Cross Section ◽  
Heavy Ion ◽  
Scattering Cross Section ◽  
Transition Strength ◽  
Valence Nucleon ◽  
The Core ◽  
Scattering Cross ◽  
Oscillatory Pattern ◽  
Reaction Channels ◽  
Coupled Reaction

The elastic scattering cross section measured at energies $E\lesssim 10$ MeV/nucleon for some light heavy-ion systems having two identical cores like \oc exhibits an enhanced oscillatory pattern at the backward angles. Such a pattern is known to be due to the transfer of the valence nucleon or cluster between the two identical cores. In particular, the elastic $\alpha$ transfer has been shown to originate directly from the core-exchange symmetry in the elastic \oc scattering. Given the strong transition strength of the $2^+_1$ state of $^{12}$C and its large overlap with the $^{16}$O ground state, it is natural to expect a similar $\alpha$ transfer process (or inelastic $\alpha$ transfer) to take place in the inelastic \oc scattering. The present work provides a realistic coupled channel description of the $\alpha$ transfer in the inelastic \oc scattering at low energies. Based on the results of the 4 coupled reaction-channels calculation, we show a significant contribution of the $\alpha$ transfer to the inelastic \oc scattering cross section at the backward angles. These results suggest that the explicit coupling to the $\alpha$ transfer channels is crucial in the studies of the elastic and inelastic scattering of a nucleus-nucleus system with the core-exchange symmetry.\Keywords{optical potential, coupled reaction channels, inelastic $\alpha$ transfer

Scattering from Many Centers in One Dimension

1975 ◽  
Vol 53 (9) ◽  
pp. 874-881 ◽  
Author(s):  
K. K. Bajaj ◽  
Y. Nogami
Keyword(s):  
Cross Section ◽  
Forward Scattering ◽  
Scattering Cross Section ◽  
One Dimension ◽  
Laboratory System ◽  
Dimensional Model ◽  
One Dimensional ◽  
Scattering Cross ◽  
Low Energies ◽  
Nucleus Scattering

The accuracies of the fixed scatterer approximation (FSA) and the Glauber approximation (GA) are examined for an exactly soluble, one dimensional model which simulates nucleon–nucleus scattering. These approximations are found to work well at unexpectedly low energies. For example, the errors in the FSA and GA for the 'nucleon–deuteron' forward scattering cross section at 10 MeV (laboratory system) are only 5 and 7% respectively. The reason for this success is examined.

Mass Determination by Direct Measurement of Electron Scattering

1975 ◽  
Vol 33 ◽  
pp. 240-241
Author(s):  
M. K. Lamvik ◽  
A. V. Crewe
Keyword(s):  
Cross Section ◽  
Electron Scattering ◽  
Mass Density ◽  
Variable Mass ◽  
Scattering Cross Section ◽  
Mass Determination ◽  
Number Density ◽  
Cross Sectional ◽  
Thin Slice ◽  
Scattering Cross

If a molecule or atom of material has molecular weight A, the number density of such units is given by n=Nρ/A, where N is Avogadro's number and ρ is the mass density of the material. The amount of scattering from each unit can be written by assigning an imaginary cross-sectional area σ to each unit. If the current I0 is incident on a thin slice of material of thickness z and the current I remains unscattered, then the scattering cross-section σ is defined by I=IOnσz. For a specimen that is not thin, the definition must be applied to each imaginary thin slice and the result I/I0 =exp(-nσz) is obtained by integrating over the whole thickness. It is useful to separate the variable mass-thickness w=ρz from the other factors to yield I/I0 =exp(-sw), where s=Nσ/A is the scattering cross-section per unit mass.

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