Numerical study of the relativistic influence on the angular distribution of a particle from a statistical-model three-body decay

1967 ◽  
Vol 48 (4) ◽  
pp. 1051-1058
Author(s):  
J. Proriol
Keyword(s):  
Angular Distribution ◽  
Statistical Model ◽  
Numerical Study ◽  
Three Body

MEASUREMENT OF FISSION FRAGMENT ANISOTROPIES FOR PROTON-INDUCED FISSION OF TWO PRE-ACTINIDE NUCLEI AT SEVERAL ENERGIES

2007 ◽  
Vol 22 (05) ◽  
pp. 1027-1037 ◽  
Author(s):  
S. SOHEYLI ◽  
H. NOSHAD ◽  
M. LAMEHI-RACHTI
Keyword(s):  
Angular Distribution ◽  
Statistical Model ◽  
Cross Sections ◽  
Fission Fragment ◽  
Anomalous Behavior ◽  
Surface Barrier ◽  
Mass Asymmetry ◽  
Fission Fragments ◽  
Induced Fission ◽  
Barrier Detectors

The angular distribution of fission fragments has been measured for proton-induced fission of 197 Au and 209 Bi nuclei at several energies between 25 and 30 MeV using surface-barrier detectors. The measured anisotropies are found to be in agreement with the predictions of the standard saddle-point statistical model. The measured anisotropies for neither of the nuclei show any anomalous behavior as a function of both energy and entrance channel mass asymmetry. The fission cross sections of 197 Au and 209 Bi nuclei were also measured and compared with that of the previous works.

scholarly journals Numerical Investigation for Periodic Orbits in the Hill Three-Body Problem

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 72 ◽  
Author(s):  
Vassilis S. Kalantonis
Keyword(s):  
Periodic Orbits ◽  
Body Problem ◽  
Numerical Study ◽  
Three Dimensional ◽  
Earth Satellite ◽  
Mission Design ◽  
Special Importance ◽  
Three Body Problem ◽  
Three Body ◽  
The Hill

The current work performs a numerical study on periodic motions of the Hill three-body problem. In particular, by computing the stability of its basic planar families we determine vertical self-resonant (VSR) periodic orbits at which families of three-dimensional periodic orbits bifurcate. It is found that each VSR orbit generates two such families where the multiplicity and symmetry of their member orbits depend on certain property characteristics of the corresponding VSR orbit’s stability. We trace twenty four bifurcated families which are computed and continued up to their natural termination forming thus a manifold of three-dimensional solutions. These solutions are of special importance in the Sun-Earth-Satellite system since they may serve as reference orbits for observations or space mission design.

A statistical model describing wear traces in three-body abrasion

Tribotest ◽  
1995 ◽  
Vol 2 (1) ◽  
pp. 47-53 ◽  
Author(s):  
Liang Fang ◽  
Qingde Zhou
Keyword(s):  
Statistical Model ◽  
Three Body Abrasion ◽  
Three Body

scholarly journals Numerical Simulations of Planetary Systems of the Jupiter-Saturn Type

1992 ◽  
Vol 152 ◽  
pp. 33-36
Author(s):  
R.A. Broucke
Keyword(s):  
Numerical Study ◽  
Close Approach ◽  
Major Axis ◽  
Two Dimensions ◽  
Semi Major Axis ◽  
Statistical Estimates ◽  
Long Time ◽  
Unit Radius ◽  
Series Of Experiments ◽  
Three Body

We made a numerical study of the General Three-Body Problem in two dimensions, with the intention to obtain some statistical estimates of the outcome of the system after a long time. Two different sets of masses were used. In the first series of experiments we use masses in the ratio of 0.95, 0.04 and 0.01. In the second series, we use masses that are exactly in the Sun-Jupiter-Saturn ratio. To facilitate the discussion, we use the names Sun, Jupiter and Saturn for the three masses, in both cases. In all our experiments, the orbit of Jupiter starts with zero eccentricity and with a unit radius. However, the orbit of Saturn varies in two ways: the initial value of the semi-major axis varies from 1.1 to 3.5 and the eccentricity from 0.0 to 0.75. In total about 4000 cases were run for the two series of masses. All the numerical integrations were done with the method of recurrent power series of order 14, in a heliocentric frame of reference, integrating thus eight simultaneous first-order differential equations. All integrations were performed for a maximum of 12,500 canonical units of time, corresponding to about 2000 revolutions of Jupiter. The cause of termination or type of catastrophe for the system has been determined in all cases. In most cases, this is a close approach of Saturn with Jupiter, followed by ejection of Saturn from the system.

scholarly journals Experimental Study of the Astrophysically Interesting 112Cd(p,γ)113In Reaction

2019 ◽  
Vol 21 ◽  
pp. 188
Author(s):  
E.-M. Asimakopoulou ◽  
E. Malami ◽  
T. J. Mertzimekis ◽  
V. Foteinou
Keyword(s):  
Experimental Study ◽  
Angular Distribution ◽  
Statistical Model ◽  
Total Cross Section ◽  
Cross Section ◽  
Proton Capture ◽  
High Importance ◽  
Validity Test ◽  
Low Energies ◽  
Excited Nuclei

An experimental study of the astrophysically interesting 112Cd(p,γ)113In reaction, conducted at INPP, NCSR “Demokritos”, is presented. The purpose of the experiment was to study the total cross section and the angular distribution of the de-excited nuclei. The experiment aimed at both gaining knowledge of proton capture at low energies and serving as a validity test for the Hauser–Feshbach theory, a statistical model of compound reactions of high importance. Both in–beam and activation techniques were used during the experiment and the results are compared to TALYS calculations.

Energy-dependent effects in coherent pion production

1996 ◽  
Vol 74 (9-10) ◽  
pp. 634-640 ◽  
Author(s):  
P. A. Deutchman
Keyword(s):  
Angular Distribution ◽  
Pion Production ◽  
Theoretical Calculations ◽  
Exchange Process ◽  
Heavy Ion ◽  
Equal Mass ◽  
Final State ◽  
Ion Collisions ◽  
Three Body ◽  
Energy Dependent

Theoretical calculations have been done for the coherent production of pions in the exclusive reaction 12C + 12 C → 12 C (15.11 MeV) + 12C + π0 at 100 and 250 MeV/nucleon. An analysis is made on how three-body kinematics and other energy dependencies affect the various factors that enter the calculation for the pion differential cross section. Momentum and momentum-transfer diagrams are constructed that show pictorially how projectile- and target-generated pions differ in their intermediate states, even though they lead to the same final states. It is shown how three-body kinematics affect the exchange-process amplitudes that account for projectile- and target-generated pions. Also, the energy dependencies found in the delta width and phase-space factors are assessed as to their relative importance. Momentum robbing and kickback effects to the final-state nuclei from the produced pion are discussed. These effects are shown to give an asymmetry in the pion angular distribution. The study of three-body kinematics and its associated energy dependencies under the Born approximation is considered to be an important first step in the understanding of coherent pion production in heavy-ion collisions, before the complicating features of absorption and distortion are introduced. Even though the pion is much lighter than either of the two equal-mass, final-state nuclei, observable asymmetries are seen in the pion angular distribution that are caused by the produced pion.

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