scholarly journals Study of Bound Nucleon Wave Functions by Coulomb Stripping in the Reaction 208Pb(d, p)209Pb

1966 ◽  
Vol 21 (7) ◽  
pp. 1015-1020
Author(s):  
M. Dost ◽  
W. R. Hering
Keyword(s):  
Shell Model ◽  
Cross Sections ◽  
Model Potential ◽  
Wave Functions ◽  
Nuclear Potential ◽  
Absolute Value ◽  
Spectroscopic Factors ◽  
Normalizing Constants ◽  
Laboratory Angle ◽  
True Values

The differential cross sections of the 208Pb(d, p)209Pb transitions to the states 9/2+, 5/2+*, ½+, 7/2+, and 3/2+ in 209Pb were measured at 135° laboratory angle for deuteron energies between 7.0 and 10.5 MeV. The data below 8.0 MeV were analyzed in COULOMB Wave BORN Approximation to give accurate spectroscopic factors of the five levels according to a simple shell model potential in the final nucleus. The dependence on some of the parameters that determine this potential is studied. The absolute value of the normalizing constants of the bound neutron wave functions outside the nuclear potential well are determined without reference to any shell model potential, i. e. their true values are given. It is confirmed that the ground and excited states up to 2.52 MeV in 209Pb are pure single particle states so that from their study one can draw a proper shell model potential in the lead region.

Gamow–Teller strength functions from scattering experiments

1987 ◽  
Vol 65 (6) ◽  
pp. 691-698 ◽  
Author(s):  
O. Häusser
Keyword(s):  
Shell Model ◽  
Cross Sections ◽  
Mean Field ◽  
Wave Functions ◽  
Structure Information ◽  
Model Wave ◽  
Spin Flip ◽  
Strength Functions ◽  
Gamow Teller ◽  
Good Agreement

We present here recent [Formula: see text] results from TRIUMF that are relevant to the determination of spin-flip isovector strength functions in nuclei. Distortion factors needed for the extraction of nuclear-structure information have been deduced from cross sections and analyzing powers in elastic scattering for several energies and targets. Nonrelativistic optical potentials obtained by folding effective nucleon (N)–nucleus interactions with nuclear densities are found to overpredict both elastic and reaction cross sections, whereas Dirac calculations that include Pauli blocking are in good agreement with the data. Spin observables (Snn and Ay) for the quasi-elastic region in 54Fe[Formula: see text] at 290 MeV provide some evidence for the reduction of the effective proton mass predicted in relativistic mean-field theories as a consequence of the attractive scalar field in the nuclear medium. The energy dependence of the effective N–nucleus interaction at small momentum transfers has been investigated using isoscalar and isovector 1+ states in 28Si as probe states. We find that the cross sections for the isovector transitions are in good agreement with predictions for the dominant Vστ part of the Franey–Love interaction. Gamow–Teller (GT) strength functions have been obtained in 24Mg and 54Fe from measurements of both cross sections and spin–flip probabilities Snn. The spin-flip cross sections σSnn are particularly useful in heavier nuclei to discriminate against a continuous background of ΔS = 0 excitations. In the (s, d) shell where full shell-model wave functions are available, the GT quenching factors [Formula: see text] are in good agreement with those from recent (p, n) and (n, p) experiments. We show that a state-by-state comparison of (p, p′) and (e, e′) results has the potential of identifying pionic current contributions in (e, e′). The GT quenching factors in 54Fe are smaller than in the (s, d) shell probably because of severely truncated shell-model wave functions, particularly those of the nuclear ground state.

Spectroscopic Study of 32S Through the 31P(d,n)32S Reaction

1974 ◽  
Vol 52 (14) ◽  
pp. 1288-1294 ◽  
Author(s):  
A. H. Hussein ◽  
G. C. Neilson ◽  
W. J. McDonald ◽  
W. K. Dawson
Keyword(s):  
Spectroscopic Study ◽  
Shell Model ◽  
Cross Sections ◽  
Differential Cross ◽  
Time Of Flight ◽  
Angular Distributions ◽  
Absolute Differential ◽  
Spectroscopic Factors ◽  
Model Predictions ◽  
Theoretical Predictions

The 31P(d,n)32S reaction has been studied at deuteron energies of 4.0 and 5.45 MeV. Neutron energies were measured by time of flight. Absolute differential cross sections of seven levels in 32S have been measured and compared with the theoretical predictions of both the DWBA and compound statistical theories. Analysis of the angular distributions yielded lP values and absolute spectroscopic factors. These results have been compared with those from other experiments and shell model predictions.

Charge-Exchange Scattering of Pions on 14N

1971 ◽  
Vol 49 (13) ◽  
pp. 1826-1827 ◽  
Author(s):  
Arlene P. Maclin ◽  
J. M. Eisenberg
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Charge Exchange ◽  
Cross Sections ◽  
Theoretical Calculations ◽  
Impulse Approximation ◽  
Wave Functions ◽  
Exchange Scattering ◽  
Low Amplitude ◽  
Model Formalism

Cross sections for the reaction 14N(π+,π0)14O are calculated near the (3, 3) resonance using the impulse approximation together with the Chew–Low amplitude in the framework of a two-hole shell model formalism. Various sets of wave functions are used and comparisons are made with existing experimental data and other theoretical calculations.

Windows in direct dissociative recombination cross sections

1986 ◽  
Vol 64 (12) ◽  
pp. 1621-1625 ◽  
Author(s):  
Steven L. Guberman
Keyword(s):  
Cross Sections ◽  
Dissociative Recombination ◽  
Model Potential ◽  
Wave Functions ◽  
Molecular Ion ◽  
Vibrational Levels ◽  
Potential Curves

Model potential curves are used to show that large windows are present in direct dissociative-recombination cross sections from excited molecular-ion vibrational levels. The windows are due to the overlap of vibrational wave functions of the repulsive neutral states with the nodes of the ion vibrational wave functions.

Study of 18O States by the 17O(d,p)18O Reaction

1975 ◽  
Vol 53 (9) ◽  
pp. 882-890 ◽  
Author(s):  
D. Drain ◽  
B. Chambon ◽  
J. L. Vidal ◽  
A. Dauchy ◽  
H. Beaumevieille
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Cross Sections ◽  
Differential Cross ◽  
Ground State ◽  
Differential Cross Sections ◽  
Model Calculations ◽  
Absolute Differential ◽  
Spectroscopic Factors

The 17O(d,p)18O reaction was studied at Ed = 3.6 and 4.0 MeV. Absolute differential cross sections were measured for the ground state and the 1.98, 3.55, 3.63, 3.91, 4.45, 5.09, 5.25, and 5.37 MeV states in 18O. The experimental data are analyzed using the DWBA and Hauser–Feshbach theoreies and spectroscopic factors are deduced. These results are compared to previous data and shell model calculations. The correspondence between the above states and their analogue states in 18F is discussed.

scholarly journals Relativistic B-Spline R-Matrix Calculations for Electron Collisions with Ytterbium

Atoms ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 47
Author(s):  
Kathryn R. Hamilton ◽  
Klaus Bartschat ◽  
Oleg Zatsarinny
Keyword(s):  
Experimental Data ◽  
Electron Scattering ◽  
Cross Sections ◽  
Matrix Method ◽  
Model Potential ◽  
Electron Collisions ◽  
R Matrix ◽  
B Spline ◽  
Potential Approach

We have applied the full-relativistic Dirac B-Spline R-matrix method to obtain cross sections for electron scattering from ytterbium atoms. The results are compared with those obtained from a semi-relativistic (Breit-Pauli) model-potential approach and the few available experimental data.

Shell model potential for PbTiO3and its applicability to surfaces and domain walls

2008 ◽  
Vol 20 (32) ◽  
pp. 325225 ◽  
Author(s):  
T Shimada ◽  
K Wakahara ◽  
Y Umeno ◽  
T Kitamura
Keyword(s):  
Shell Model ◽  
Domain Walls ◽  
Model Potential

scholarly journals Be7(p,γ)B8Sfactor fromab initiono-core shell model wave functions

2006 ◽  
Vol 73 (6) ◽  
Author(s):  
P. Navrátil ◽  
C. A. Bertulani ◽  
E. Caurier
Keyword(s):  
Shell Model ◽  
Wave Functions ◽  
Core Shell ◽  
Model Wave

scholarly journals The 7Be(p, ?)8B Cross Section at Low Energies

1980 ◽  
Vol 33 (2) ◽  
pp. 177 ◽  
Author(s):  
FC Barker
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Solar Neutrinos ◽  
Model Calculations ◽  
Spectroscopic Factors ◽  
Low Energies ◽  
Standard Values ◽  
Experimental Values ◽  
Parameter Values ◽  
Potential Parameters

The nonresonant part of the 7Be(p, )I)8B cross section at low energies is recalculated by means of a direct-capture potential model, using parameter values determined by fitting 7Li(n, n)7Li and 7Li(n, )I)8Li data. Standard values of the potential parameters and spectroscopic factors give values of the 7Li(n,)I) cross section that are too large. Modified values that fit the thermal-neutron capture cross section predict 7Be(p,)I) cross sections that are much less than the experimental values. Also, shell model calculations predict resonant 7Be(p,)I) cross sections that are smaller than the experimental values. It is suggested that the accepted experimental values of the 7Be(p, )I) cross section may be too large, perhaps due partly to an overlarge accepted value for the 7Li(d, p)8Li cross section, which has been used for normalization purposes. A decrease in the 7Be(p,)I) cross section would reduce the calculated detection rate of solar neutrinos and lessen the discrepancy with the measured value.

A comparison of theory and experiment for photo-ionization cross-sections I. Neon and the elements from boron to neon

1951 ◽  
Vol 208 (1094) ◽  
pp. 408-418 ◽  
Keyword(s):  
Cross Sections ◽  
General Trend ◽  
Wave Functions ◽  
Ionization Cross ◽  
Hartree Fock ◽  
Quantal Theory ◽  
Ionization Cross Sections ◽  
Photo Ionization ◽  
Near Future ◽  
Dipole Length

The quantal theory of the continuous photo-electric absorption of radiation is briefly summarized, pàrticular attention being given to the alternative formulae available and to the accuracy to be expected in practical calculations. Detailed calculations are described for the photo-ionization cross-section of neon, a system for which it is understood that experimental data should be available in the near future. The calculation is made using Hartree-Fock wave functions and the two formulae of the dipole length and the dipole velocity. The corresponding cross-sections are found to be 5.8 and 4.4 x 10- 18 cm 2 . at the spectral head and to rise slowly with increasing frequency until a broad maximum is reached for an energy of the ejected electron of about 11 eV. A comparison is made with previous calculations on the elements from boron to neon ; the general trend of the results is discussed and improved estimates for boron and fluorine are given (10 x 10 -18 cm 2 . for boron and 4.3 x 10- 18 cm 2 . for fluorine at the spectral head).

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