Antisymmetric Bosons in Nuclear Structure

1973 ◽  
Vol 51 (1) ◽  
pp. 40-49 ◽  
Author(s):  
M. Banville ◽  
P. A. Simard

The concept of an ideal space of bosons and ideal particles is applied directly to systems of ordinary particles with a transcription of the particle into that ideal space that preserves both the Pauli principle and the transformation properties of the one- and two-body operators. We treat systems up to four particles.

1981 ◽  
Vol 59 (11) ◽  
pp. 1670-1673
Author(s):  
M. Banville ◽  
P.-A. Simard

A new method permitting nuclear structure calculations for a system with an arbitrary number of fermions in an arbitrary number of subshells is developed through a generalization of the ideal space concept used in the boson methods. The nuclear shell problem is transcribed into a hierarchy of ideal spaces; the one-to-one correspondence between the states in each ideal space permits the generation of complete bases of antisymmetric states. The Hamiltonian matrix elements for the system are given. A generalization of the fractional parentage coefficients for such systems is obtained. The symmetries of those coefficients lead to a very important reduction in the complexity of the matrix elements.


1994 ◽  
Vol 08 (21n22) ◽  
pp. 1377-1385 ◽  
Author(s):  
S.A. GURVITZ ◽  
H.J. LIPKIN ◽  
Ya. S. PRAGER

A new method using Fock space wave functions is proposed for studying resonant tunneling in semiconductor quantum wells. The use of binary occupation numbers as dynamical variables, rather than properties of individual electrons, manifestly takes account of electron statistics, which enables investigation of the influence of the Pauli principle on resonant tunneling in the presence of inelastic scattering. Applied to the evaluation of the resonant current in semiconductor heterostructures, our approach predicts considerable deviations from the one-electron and rate equations pictures.


1991 ◽  
Vol 46 (10) ◽  
pp. 869-872 ◽  
Author(s):  
Hans Sallhofer

AbstractAfter a discussion of the one-component Schrödinger (1926) and the four-component Dirac (1928) representation of hydrogen it is shown that the six-component electrodynamic picture turns out to be considerably simpler and clearer. The computational effort is reduced to a fraction.


2019 ◽  
Vol 28 (06) ◽  
pp. 1950039
Author(s):  
K. Wang ◽  
A. Bonasera ◽  
H. Zheng ◽  
G. Q. Zhang ◽  
Y. G. Ma ◽  
...  

We implement the Heisenberg principle into the Constrained Molecular Dynamics model with a similar approach to the Pauli principle using the one-body occupation probability [Formula: see text]. Results of the modified and the original model with comparisons to data are given. The binding energies and the radii of light nuclei obtained with the modified model are more consistent with the experimental data than the original one. The collision term and the density distribution are tested through a comparison to p+[Formula: see text]C elastic scattering data. Some simulations for fragmentation and superheavy nuclei production are also discussed.


1998 ◽  
Vol 13 (06) ◽  
pp. 441-451 ◽  
Author(s):  
FRANCO BUCCELLA ◽  
OFELIA PISANTI ◽  
LUIGI ROSA ◽  
ILYA DORSNER ◽  
PIETRO SANTORELLI

By describing a large class of deep inelastic processes with standard parametrization for the different parton species, we check the characteristic relationship dictated by Pauli principle: broader shapes for higher first moments. Indeed, the ratios between the second and the first moments and the one between the third and the second moments for the valence partons is an increasing function of the first moment and agrees quantitatively with the values found with Fermi–Dirac distributions.


1993 ◽  
Vol 02 (01) ◽  
pp. 39-185 ◽  
Author(s):  
AMAND FAESSLER ◽  
A. BUCHMANN ◽  
Y. YAMAUCHI

The study of the deuteron electromagnetic form factors based on the quark cluster model is reviewed. The deuteron wave function is derived from a microscopic quark Hamiltonian with the help of the Resonating Group Method. One-pion and one-gluon exchange potentials are included in addition to a quadratic confinement potential. The photon is coupled directly to the quarks. Aside from the one-body impulse current, pion and gluon exchange currents are included on the quark level. Due to the Pauli principle on the quark level, new electromagnetic currents arise which are not present on the nucleon level. These currents, called quark exchange currents, describe processes in which a photon couples to a quark or a pair of quarks interacting via gluon or pion exchange and which are accompanied by a simultaneous quark interchange between the two threequark clusters (nucleons). They are small for low momentum transfers but appreciably influence the electromagnetic structure of the deuteron beyond a momentum transfer of q=5 fm−1. The discussion is extended to the magnetic moments of 15N, 17O and 39K by introducing the quark exchange currents as effective operators on the nucleon level. The quark exchange currents written in terms of nonlocal and spin-isospin dependent nuclear operators are effective only at short distances. They are evaluated with shell-model (harmonic oscillator) wave functions including the (short-range) Brueckner correlations. The Bethe-Goldstone equation is solved with our effective NN potential, which is derived from a microscopic quark Hamiltonian. The quark exchange currents shift the isovector magnetic moment of 39K by −20% from its Schmidt value.


1971 ◽  
Vol 49 (24) ◽  
pp. 3122-3132 ◽  
Author(s):  
P. A. Simard ◽  
M. Banville

The boson method is studied for a system with one and three quasiparticles. A basis is constructed in the ideal space in such a way that the Pauli principle is fully satisfied. The spurious states due to the particle nonconservation are properly eliminated. Numerical calculations are presented and a comparison is made with Kuo's method. The boson method can be easily extended to the study of systems having two phonons.


1995 ◽  
Vol 09 (05) ◽  
pp. 271-283 ◽  
Author(s):  
ALAIN DASNIÈRES DE VEIGY ◽  
STÉPHANE OUVRY

The thermodynamic of particles with intermediate statistics interpolating between Bose and Fermi statistics is addressed in the simple case where there is one quantum number per particle. Such systems are essentially one-dimensional. As an illustration, one considers the anyon model restricted to the lowest Landau level of a strong magnetic field at low temperature, the generalization of this model to several particles species, and the one-dimensional Calogero model. One reviews a unified algorithm to compute the statistical mechanics of these systems. It is pointed out that Haldane's generalization of the Pauli principle can be deduced from the anyon model in a strong magnetic field at low temperature.


1969 ◽  
Vol 47 (23) ◽  
pp. 2645-2650 ◽  
Author(s):  
P. A. Simard

An antisymmetric basis has been set up in the ideal space as a combination of one boson and one ideal quasi-particle state; in this way a three quasi-particle system may be studied. The knowledge of solutions of linearized equations for two quasi-particles is a requisite for the setting up of this basis. The exclusion principle is thus introduced correctly. The spurious states coming from the non-conservation of the number of particles are separated out and can be rejected easily. The method can be used only in QTD approximation. The one-shell case is discussed as a verification of the method.


1972 ◽  
Vol 38 (7) ◽  
pp. 461-463 ◽  
Author(s):  
P.A. Simard ◽  
M. Banville

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