scholarly journals A Covariant and Unitary Equation for Single Quantum Exchange

1983 ◽  
Vol 36 (5) ◽  
pp. 601 ◽  
Author(s):  
H Pierre Noyes ◽  
James V Lindesay
Keyword(s):  
Yukawa Potential ◽  
Bound State ◽  
Potential Scattering ◽  
Kinematic Region ◽  
Nuclear Potential ◽  
Particle Scattering ◽  
Single Quantum ◽  
Definition Of

By requiring the 'bound state' of particle and quantum to have the mass of the particle and be physically indistinguishable from the particle we derive fully covariant and unitary equations for particle-particle scattering; these reduce to the Lippmann-Schwinger equation for Yukawa potential scattering in the nonrelativistic kinematic region and provide a new definition of the 'nuclear potential'.

EFFECTS OF ELECTRIC POLARIZABILITY OF NUCLEI IN LOW-ENERGY COLLISIONS AND ACTION RADIUS OF THE POLARIZATION POTENTIAL

1992 ◽  
Vol 07 (12) ◽  
pp. 2713-2739 ◽  
Author(s):  
V. V. PUPYSHEV ◽  
O. P. SOLOVTSOVA
Keyword(s):  
Potential Scattering ◽  
Polarization Potential ◽  
Low Energy ◽  
S Wave ◽  
Energy Potential ◽  
Electric Polarizability ◽  
Correct Definition ◽  
Starting Point ◽  
Identical Zero ◽  
Definition Of

Recent works devoted to investigating the role of electric polarizability of nuclei in elastic and nucleosynthesis reactions are critically and constructively reviewed, in order to formulate some problems of the low-energy potential scattering theory. Possible methods for solving these problems are outlined. One of the problems, a correct definition of the range of action of the polarization potential, is discussed in detail. An intuitively clear conception of this radius — the lower bound of the distance range, where the polarization potential may be replaced by identical zero — is used as a starting point. The fact that this bound should be defined in each concrete case is demonstrated by the results obtained by exploration of the pp reaction and the S-wave π±d-elastic collisions. Also discussed are numerical and analytical methods for finding the action radius depending on the studied function, the accuracy required for its evaluation, the scattering energy and the sign of the Coulomb potential.

The field theoretic definition of the nuclear potential - I

1959 ◽  
Vol 14 (3) ◽  
pp. 540-559 ◽  
Author(s):  
J. M. Charap ◽  
S. P. Fubini
Keyword(s):  
Nuclear Potential ◽  
Definition Of

INSIGHTS ON THE BOUND STATES IN THE STRAINED CdSe–ZnSe SINGLE-QUANTUM WELLS

2008 ◽  
Vol 22 (13) ◽  
pp. 2055-2069 ◽  
Author(s):  
NACIR TIT ◽  
IHAB M. OBAIDAT
Keyword(s):  
Quantum Wells ◽  
Valence Band ◽  
Quantum Confinement ◽  
Bound States ◽  
Axial Strain ◽  
Bound State ◽  
Band Offset ◽  
Single Quantum ◽  
Valence Band Offset ◽  
Single Quantum Well

The bound states in the (CdSe) Nw– ZnSe (001) single quantum well are investigated versus the well width (Nw monolayers) and the valence-band offset (VBO). The calculation, based on the sp3s* tight-binding method which includes the spin-orbit interactions, is employed to calculate the band-gap energy (Eg), quantum-confinement energy (EQ), and band structures. It is found that the studied systems possess a vanishing valence-band offset ( VBO ≃ 0) in consistency with the common-anion rule, and a large conduction band offset of about ( CBO ≃ 1 eV ); both of which made the electronic confinement become predominant. The bi-axial strain, on the other hand, remains to control the hole states. Namely, the two highest (spin-degenerate) hole states are found to localize at the two interfaces due to the formation of two similar strain-induced potential dips at these interfaces, each of depth equal to the strain energy ~35 meV. More importantly, the ultrathin CdSe wells (with Nw ≤ 4 monolayers) are found to contain only a single (spin-degenerate) bound state; but by increasing the well width further, a new (spin-degenerate) bound state falls into the well every time Nw hits a multiple of 4 monolayers (more specifically, for 4n+1 ≤ Nw ≤ 4 (n+1), the number of bound states is (n+1), where n is an integer). The rule governing the variation of the quantum-confinement energy EQ versus the well width Nw has been derived. Our theoretical results are in excellent agreement with the available experimental photoluminescence data.

scholarly journals AN APPROACH TO POTENTIAL SCATTERING

2005 ◽  
Vol 20 (26) ◽  
pp. 1983-1989 ◽  
Author(s):  
B. GÖNÜL ◽  
M. KOÇAK
Keyword(s):  
Perturbation Theory ◽  
Partial Wave ◽  
Bound State ◽  
Phase Shifts ◽  
Potential Scattering ◽  
Wave Phase

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

Perturbed Bound-State Poles in Potential Scattering. II

1966 ◽  
Vol 150 (4) ◽  
pp. 1236-1240 ◽  
Author(s):  
Y. S. Kim ◽  
Kashyap V. Vasavada
Keyword(s):  
Bound State ◽  
Potential Scattering

scholarly journals Exact Solution of the Dirac Equation for the Yukawa Potential with Scalar and Vector Potentials and Tensor Interaction

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Mona Azizi ◽  
Nasrin Salehi ◽  
Ali Akbar Rajabi
Keyword(s):  
Dirac Equation ◽  
Yukawa Potential ◽  
Energy Eigenvalue ◽  
Tensor Interaction ◽  
Great Powers ◽  
Nuclear Potential ◽  
Relativistic Energy ◽  
Ansatz Method ◽  
Vector Potentials ◽  
Tensor Potential

We present exact solutions of the Dirac equation with Yukawa potential in the presence of a Coulomb-like tensor potential. For this goal we expand the Yukawa form of the nuclear potential in its mesonic clouds by using Taylor extension to the power of seventh and bring out its simple form. In order to obtain the energy eigenvalue and the corresponding wave functions in closed forms for this potential (with great powers and inverse exponent), we use ansatz method. We also regard the effects of spin-spin, spin-isospin, and isospin-isospin interactions on the relativistic energy spectra of nucleon. By using the obtained results, we have calculated the deuteron mass. The results of our model show that the deuteron spectrum is very close to the ones obtained in experiments.

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