Solution of the Bethe–Goldstone Equation in Finite Nuclei from N–N Phase Shift Data

1972 ◽  
Vol 50 (9) ◽  
pp. 940-946
Author(s):  
R. J. W. Hodgson
Keyword(s):  
Wave Function ◽  
Phase Shift ◽  
Harmonic Oscillator ◽  
Shell Model ◽  
Phase Shifts ◽  
Matrix Elements ◽  
Pauli Operator ◽  
Phase Shift Data ◽  
Finite Nuclei ◽  
Shift Data

An approach is outlined wherein the Bethe–Goldstone wave function may be computed in a shell-model basis from a knowledge of the harmonic-oscillator matrix elements. These in turn may be derived from the N–N phase shifts by a number of different methods. The Pauli operator is treated exactly in the space of two-particle shell-model states. The method is applied to a calculation of the levels of 18O and 18F and results obtained using different two-body matrix elements are compared.

Reliability of Shell Model Calculations using the Dispersion Relation Approach

1971 ◽  
Vol 49 (11) ◽  
pp. 1401-1410 ◽  
Author(s):  
R. J. W. Hodgson
Keyword(s):  
Dispersion Relation ◽  
Phase Shift ◽  
Shell Model ◽  
Born Approximation ◽  
High Energy ◽  
Matrix Elements ◽  
Model Calculations ◽  
Phase Shift Data ◽  
Relation Approach ◽  
Shift Data

Two techniques for deriving the Born approximation from the two-nucleon phase shift data in states having l ≤ 4 are employed to study the influence of the high energy form of the phase shifts in deducing two-body matrix elements and shell model spectra. A comparison is made with results obtained by other approaches.

Nuclear interaction matrix elements in a phase-shift approximation

1969 ◽  
Vol 47 (22) ◽  
pp. 2459-2474 ◽  
Author(s):  
M. K. Srivastava ◽  
A. M. Jopko ◽  
Donald W. L. Sprung
Keyword(s):  
Phase Shift ◽  
Shell Model ◽  
Model Calculation ◽  
Nuclear Interaction ◽  
Phase Shifts ◽  
Shell Model Calculation ◽  
Interaction Matrix ◽  
Matrix Elements ◽  
Experimental Phase ◽  
Practical Scheme

A method suggested by Elliott for calculating nuclear interaction matrix elements directly from phase shifts is developed into a practical scheme applicable to all partial waves. Matrix elements are constructed from experimental phase shifts and compared to several other calculations. A shell-model calculation of 58Ni based on these matrix elements gives results comparable to those of Kuo.

LONG-RANGE CORRELATIONS IN THE PHASE-SHIFTS OF NUMERICAL SIMULATIONS OF BIOCHEMICAL OSCILLATIONS AND IN EXPERIMENTAL CARDIAC RHYTHMS

1999 ◽  
Vol 07 (02) ◽  
pp. 113-130 ◽  
Author(s):  
I. M. DE LA FUENTE ◽  
L. MARTINEZ ◽  
J. M. AGUIRREGABIRIA ◽  
J. VEGUILLAS ◽  
M. IRIARTE
Keyword(s):  
Phase Shift ◽  
Periodic Solutions ◽  
Long Range ◽  
Phase Shifts ◽  
Long Range Correlations ◽  
Rescaled Range ◽  
Biochemical Oscillations ◽  
Phase Shift Data ◽  
Relationship Of ◽  
The Relationship

In biochemical dynamical systems during each transition between periodical behaviors, all metabolic intermediaries of the system oscillate with the same frequency but with different phase-shifts. We have studied the behavior of phase-shift records obtained from random transitions between periodic solutions of a biochemical dynamical system. The phase-shift data were analyzed by means of Hurst's rescaled range method (introduced by Mandelbrot and Wallis). The results show the existence of persistent behavior: each value of the phase-shift depends not only on the recent transitions, but also on previous ones. In this paper, the different kind of periodic solutions were determined by different small values of the control parameter. It was assessed the significance of this results through extensive Monte Carlo simulations as well as quantifying the long-range correlations. We have also applied this type of analysis on cardiac rhythms, showing a clear persistent behavior. The relationship of the results with the cellular persistence phenomena conditioned by the past, widely evidenced in experimental observations, is discussed.

Determination of a finite-range potential from discrete phase-shift data by inverse scattering

2004 ◽  
Vol 37 (40) ◽  
pp. 9501-9513
Author(s):  
T S Lo ◽  
S S M Wong ◽  
K Young
Keyword(s):  
Phase Shift ◽  
Inverse Scattering ◽  
Finite Range ◽  
Range Potential ◽  
Discrete Phase ◽  
Phase Shift Data ◽  
Shift Data

scholarly journals Probing sunspot magnetic fields with p-mode absorption and phase shift data

2003 ◽  
Vol 346 (2) ◽  
pp. 381-389 ◽  
Author(s):  
P. S. Cally ◽  
A. D. Crouch ◽  
D. C. Braun
Keyword(s):  
Phase Shift ◽  
Magnetic Fields ◽  
Phase Shift Data ◽  
Shift Data

Applications of wavelet analysis in differential propagation phase shift data de-noising

2014 ◽  
Vol 31 (4) ◽  
pp. 825-835 ◽  
Author(s):  
Zhiqun Hu ◽  
Liping Liu
Keyword(s):  
Phase Shift ◽  
Wavelet Analysis ◽  
Phase Shift Data ◽  
Shift Data

Nucleon and Deuteron Reduced Widths of the Positive Parity (T = 1/2) States of the Mass-5 System

1971 ◽  
Vol 49 (13) ◽  
pp. 1798-1804 ◽  
Author(s):  
S. Ramavataram ◽  
K. Ramavataram
Keyword(s):  
Phase Shift ◽  
Matrix Theory ◽  
Partial Width ◽  
Wave Functions ◽  
Positive Parity ◽  
Recent Analysis ◽  
R Matrix ◽  
Phase Shift Data ◽  
Range Of Values ◽  
Shift Data

Reduced widths for nucleon and deuteron emission from the positive parity (T = 1/2) states in the region of 16 to 20 MeV excitation in the mass-5 system have been calculated using the R-matrix theory. Shell model wave functions were employed to describe the relevant states. Excellent agreement is obtained with various aspects of the experimental results on the well-established 3/2+ resonance at 16.6 MeV. Values for the proton and deuteron partial widths and the γd2/γp2 ratio for the 1/2+ resonance at 18 MeV and 5/2+ resonance at 20 MeV are presented. The calculated proton partial width for the 5/2+ resonance is in the range of values estimated from recent analysis of the p–4He phase-shift data.

Brueckner Self-Consistent Study of 16O and 40Ca Using Phase-Shift Determined Potentials

1973 ◽  
Vol 51 (2) ◽  
pp. 115-120 ◽  
Author(s):  
R. J. W. Hodgson ◽  
Tran Duc Hoang
Keyword(s):  
Binding Energy ◽  
Phase Shift ◽  
Harmonic Oscillator ◽  
Single Particle ◽  
Effective Interaction ◽  
Scattering Data ◽  
Matrix Elements ◽  
High Energies ◽  
Self Consistent

A self-consistent Brueckner calculation of the binding energy and single-particle energies of 16O and 40Ca is carried out employing an effective interaction which is determined directly from the two-body scattering data. The interaction is described by its harmonic-oscillator matrix elements. It is found that the results are quite sensitive to the form of the phase shift at high energies.

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