Partly Nonlocal Potentials in Nuclear Matter

1972 ◽  
Vol 50 (21) ◽  
pp. 2574-2586 ◽  
Author(s):  
Y. Singh ◽  
C. S. Warke ◽  
R. K. Bhaduri
Keyword(s):  
Nuclear Matter ◽  
Short Range ◽  
Bound State ◽  
Wave Functions ◽  
Local Potential ◽  
Attractive Potential ◽  
State Wave ◽  
Separable Potentials ◽  
Nonlocal Potentials

A set of phase-equivalent partly nonlocal two-nucleon potentials in the s state are constructed, with short range separable-type repulsion superimposed on a local attractive potential of longer range. Nuclear matter calculations with potentials of this type reveal qualitative differences when the results are compared with those obtained from phase-equivalent rank-two separable potentials. These differences are linked to the different behaviors of the two-body bound state wave functions generated by an attractive local potential and its phase-equivalent separable counterpart.

On the single-particle-energy spectrum of a Λ particle in nuclear matter

1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh
Keyword(s):  
Energy Spectrum ◽  
Nuclear Matter ◽  
Single Particle ◽  
Short Range ◽  
Particle Energy ◽  
Pair Approximation ◽  
Single Particle Energy ◽  
Short Range Repulsion ◽  
Separable Potentials ◽  
Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

RETARDATION EFFECTS IN COVARIANT THREE-DIMENSIONAL BOUND STATE WAVE FUNCTIONS

2005 ◽  
Vol 14 (06) ◽  
pp. 931-947 ◽  
Author(s):  
F. PILOTTO ◽  
M. DILLIG
Keyword(s):  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Relative Energy ◽  
Wave Functions ◽  
Three Dimensions ◽  
State Wave ◽  
Scalar Diquark ◽  
Bound State Wave Function ◽  
Retardation Effects

We investigate the influence of retardation effects on covariant 3-dimensional wave functions for bound hadrons. Within a quark-(scalar) diquark representation of a baryon, the four-dimensional Bethe–Salpeter equation is solved for a 1-rank separable kernel which simulates Coulombic attraction and confinement. We project the manifestly covariant bound state wave function into three dimensions upon integrating out the non-static energy dependence and compare it with solutions of three-dimensional quasi-potential equations obtained from different kinematical projections on the relative energy variable. We find that for long-range interactions, as characteristic in QCD, retardation effects in bound states are of crucial importance.

‘‘Exact’’ relativistic theory of two-body bound-state wave functions

1986 ◽  
Vol 34 (5) ◽  
pp. 1920-1934 ◽  
Author(s):  
R. S. Bhalerao ◽  
C. S. Warke
Keyword(s):  
Relativistic Theory ◽  
Bound State ◽  
Wave Functions ◽  
State Wave
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