Photodisintegration of the alpha particle with tensor forces and a velocity-dependent potential

1969 ◽  
Vol 47 (13) ◽  
pp. 1343-1347
Author(s):  
S. C. Jain
Keyword(s):  
Wave Function ◽  
Cross Section ◽  
Alpha Particle ◽  
Ground State ◽  
Reasonable Agreement ◽  
Sum Rules ◽  
Variational Calculation ◽  
Dependent Potential ◽  
Integrated Cross Section ◽  
Tensor Part

We calculate the integrated cross section (σint) and the bremsstrahlung-weighted cross section (σb) for the photodisintegration of the alpha particle by applying the sum rules of Levinger and Bethe. The two-body interaction is assumed to be a mixture of a central part, having a velocity-dependent term, and a tensor part. The ground-state wave function of the alpha particle is taken to be a mixture of the principal 1S0 and 5D0(1) states, whose parameters are obtained from a variational calculation of the binding energy of the alpha particle with the above potential. We find our results for σint and σb to be in reasonable agreement with the experiments.

Sum Rule Photo-Disintegration Cross Sections for the Deuteron with Velocity-Dependent and Hard-Core Potentials

1971 ◽  
Vol 49 (17) ◽  
pp. 2211-2214 ◽  
Author(s):  
S. S. Raghavan ◽  
B. K. Srivastava
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Sum Rules ◽  
Hard Core ◽  
Dipole Approximation ◽  
Sum Rule ◽  
Core Potential ◽  
Cross Section Formula ◽  
Dependent Potential ◽  
Integrated Cross Section

We apply the sum rules of Levinger and Bethe to calculate the integrated cross section[Formula: see text]and the bremsstrahlung-weighted cross section[Formula: see text]for the deuteron in the dipole approximation. In our calculations we use (i) Nestor's velocity-dependent potential and (ii) Reid's hard-core potential. Our results for σint and σb obtained with the velocity-dependent potential of Nestor and the hard-core potential of Reid agree well with experiments.

Binding energy of the alpha particle with tensor forces and a velocity-dependent potential

1970 ◽  
Vol 48 (1) ◽  
pp. 7-8
Author(s):  
S. C. Jain
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Excellent Agreement ◽  
Alpha Particle ◽  
Variational Calculation ◽  
Dependent Potential

The results of a variational calculation for the binding energy of the alpha particle with the tensor velocity-dependent potential of Werner and the Irving wave function, containing a mixture of the principal 1S0 and 5D0(1) states are presented. A binding energy of 28.03 MeV for the alpha particle is found, which is in excellent agreement with experiments, but the r.m.s. radius obtained in this way is about 88% of the experimental value.

Integrated Cross Section for a Velocity-Dependent Potential

1961 ◽  
Vol 123 (6) ◽  
pp. 2177-2179 ◽  
Author(s):  
O. Rojo ◽  
J. S. Levinger
Keyword(s):  
Cross Section ◽  
Dependent Potential ◽  
Integrated Cross Section

PROPERTIES OF MESONS IN THE STATISTICAL MODEL

1989 ◽  
Vol 04 (04) ◽  
pp. 943-962 ◽  
Author(s):  
S. N. BANERJEE ◽  
R. K. DAS ◽  
A. K. SARKER
Keyword(s):  
Wave Function ◽  
Statistical Model ◽  
Ground State ◽  
Reasonable Agreement ◽  
Mass Formula ◽  
Level Spacing ◽  
Number Density ◽  
Magnetic Dipoles ◽  
Experimental Findings ◽  
Properties Of Mesons

Within the framework of the statistical model, various properties of mesons are studied. The model which leads to an analytical expression for the number density of quark and antiquark, yields a mass formula of the S state levels of [Formula: see text], [Formula: see text], and [Formula: see text] families. The level spacing between the ground state and a radially excited state in ψ and ϒ families studied in this model reveals interesting relations between the sizes of the particles. With the wave function suggested from the model as an input, magnetic dipoles decays of π and K mesons have been investigated and reasonable agreement is obtained with the experimental findings (and theoretical estimates in some cases). Numerical estimates of the decay amplitudes of many a vector and pseudoscalar meson, are also found to be in accord with experimental and theoretical values.

Photoneutron cross sections in 7Li

1977 ◽  
Vol 55 (5) ◽  
pp. 428-433 ◽  
Author(s):  
H. Ferdinande ◽  
N. K. Sherman ◽  
K. H. Lokan ◽  
C. K. Ross
Keyword(s):  
Fine Structure ◽  
Excited State ◽  
Cross Section ◽  
Cross Sections ◽  
Ground State ◽  
Reasonable Agreement ◽  
Branching Ratio ◽  
Energy Spectra ◽  
Average Value ◽  
First Excited State

Photoneutron energy spectra from 7Li have been measured by time-of-flight methods, for bremsstrahlung end-point energies increasing in 2 MeV steps from 13 to 25 MeV. The ground-state and approximate first-excited-state differential cross sections at 90° have been obtained from 8.5 to 23 MeV. No pronounced fine structure has been observed. The measured branching ratio to the first excited state falls from an average value of 0.70 between 10.3 and 14.5 MeV to an average of 0.29 between 14.5 and 18 MeV, and rises again to an average of 0.38 between 18 and 23 MeV. This behaviour can be explained by a crude theoretical model in which 1p → 2s and 1p → 1d single particle transitions dominate below 18 MeV. The calculation predicts a branching ratio of 0.50 near threshold, falling to 0.23 at higher energies, in reasonable agreement with the experiment. The integrated value of the ground-state cross section up to 23 MeV is about (38.7 ± 3.9) MeV mb, while that for the first excited state is about (17.2 ± 3.4) MeV mb. Together they account for 39% of the exchange-augmented dipole sum of 7Li.

Photoneutrons from 19F

1976 ◽  
Vol 54 (11) ◽  
pp. 1178-1189 ◽  
Author(s):  
N. K. Sherman ◽  
K. H. Lokan ◽  
R. W. Gellie
Keyword(s):  
Excited States ◽  
Cross Section ◽  
Electric Dipole ◽  
Ground State ◽  
Time Of Flight ◽  
Branching Ratios ◽  
Integrated Cross Section ◽  
Time Of Flight Method

The 19F(γ,n) reaction was studied by irradiating teflon with bremsstrahlung of energy increasing from 13 MeV to 21 MeV in 1 MeV steps. Photoneutron spectra were measured by the time-of-flight method. Excited states of 19F at 12.10, 12.38, 13.82, and 16.24 MeV were observed. The total integrated cross section between 11.9 and 17.9 MeV was found to be (14.4 ± 2.2) MeV mb. Branching ratios to the first group of excited states of 18F compared to the ground state were measured, along with resonance widths and approximate radiative widths. They are consistent with the interpretation that all four states arise from electric dipole d → f valence transitions, with the first two states having Jπ = 1/2−, and the second two having 3/2−.

scholarly journals The Continuous Radiative Absorption Cross Section of FeXIV and the Coronal Temperature

1954 ◽  
Vol 7 (1) ◽  
pp. 25 ◽  
Author(s):  
Alma Werner
Keyword(s):  
Wave Function ◽  
Matrix Element ◽  
Total Cross Section ◽  
Cross Section ◽  
Ground State ◽  
Absorption Cross Section ◽  
Absorption Cross ◽  
Coronal Temperature ◽  
The Matrix ◽  
Radiative Absorption

The continuous radiative absorption cross section of FeXIV was calculated, using a Hartree wave function to evaluate the matrix element for recombination to the ground state. This matrix element was considerably smaller than the value obtained by Hill (1950, 1951) using the hydrogen-like approximation, but the total cross section for recombination was not greatly different.

Bound state for a screened impurity in a magnetic field

1978 ◽  
Vol 56 (7) ◽  
pp. 913-916 ◽  
Author(s):  
S. D. Jog
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Spherical Wave ◽  
Bound State ◽  
Variational Calculation ◽  
Coulomb Wave Function ◽  
Spherical Part

A variational calculation of the ground state energy of an electron bound to a screened impurity in a semiconductor in a magnetic field is presented. The trial wave function is taken to be a product of a Landau wave function and a spherical wave function. We consider and compare the two cases in which the spherical part is chosen to be (i) a Coulomb wave function (after Rau, Mueller, and Spruch) and (ii) a Hulthén wave function.

Ground state of a system of many Bose particles

1972 ◽  
Vol 71 (3) ◽  
pp. 575-579 ◽  
Author(s):  
J. Lekner
Keyword(s):  
Differential Equation ◽  
Wave Function ◽  
Ground State ◽  
Variational Calculation ◽  
Trial Wave Function ◽  
Many Body ◽  
Integro Differential Equation ◽  
Pair Function

AbstractA many-body variational calculation is carried out using a trial wave function which is a product of pair functions. An exact integro-differential equation for the pair function is derived, valid for any system of more than three Bose particles.

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