scholarly journals A study of shell model neutron states in 207,209Pb using the generalized Woods–Saxon plus spin-orbit potential

2016 ◽  
Vol 25 (08) ◽  
pp. 1650055 ◽  
Author(s):  
J. A. Liendo ◽  
E. Castro ◽  
R. Gómez ◽  
D. D. Caussyn

The experimental binding energies of single-particle and single-hole neutron states belonging to neutron shells that extend from [Formula: see text] = 126–184 and 82–126, respectively, have been reproduced by solving the Schrödinger equation with a potential that has two components: the generalized Woods–Saxon (GWS) potential and the spin-orbit (SO) coupling term. The GWS potential contains the traditional WS potential plus a term (SU) whose intensity reaches a maximum in the nuclear surface. Our results indicate the existence of an explicit relationship between the strength of the SU potential and the orbital angular momentum quantum number [Formula: see text] of the state. This dependence has been used to make reasonable predictions for the excitation energy centroids of states located inside and outside the neutron shells investigated. Comparisons are made with results reported in previous investigations.

1979 ◽  
Vol 83 (3-4) ◽  
pp. 279-283 ◽  
Author(s):  
Y. Tanaka ◽  
Y. Oda ◽  
F. Petrovich ◽  
R.K. Sheline

2009 ◽  
Vol 24 (11n13) ◽  
pp. 843-846 ◽  
Author(s):  
I. ABDULRAHMAN ◽  
I. FACHRUDDIN

A new technique has been developed to calculate scattering of [Formula: see text] and spin-0 particles. The so called momentum-helicity basis states are constructed from the helicity and the momentum states, which are not expanded in the angular momentum states. Thus, all angular momentum states are taken into account. Compared with the partial-wave approach this technique will then give more benefit especially in calculations for higher energies. Taking as input a simple spin-orbit potential, the Lippman-Schwinger equations for the T -matrix elements are solved and some observables are calculated.


1972 ◽  
Vol 27 (5) ◽  
pp. 863-864
Author(s):  
R Penzel ◽  
W Stocker

Abstract The exchange part of the single-particle spin-orbit potential following from a two-body spin-orbit potential is calculated. Scheerbaum's approximation of setting the exchange part equal to the direct part is investigated


2014 ◽  
Vol 23 (09) ◽  
pp. 1450052 ◽  
Author(s):  
M. Ikram ◽  
S. K. Singh ◽  
A. A. Usmani ◽  
S. K. Patra

In this paper, we study the binding energies, radii, single-particle energies, spin-orbit potential and density profile for multi-strange hypernuclei in the range of light mass to superheavy mass region within the relativistic mean field (RMF) theory. The stability of multi-strange hypernuclei as a function of introduced hyperons (Λ and Σ) is investigated. The neutron, lambda and sigma mean potentials are presented for light to superheavy hypernuclei. The inclusion of hyperons affects the nucleon, lambda and sigma spin-orbit potentials significantly. The bubble structure of nuclei and corresponding hypernuclei is studied. Nucleon and lambda halo structures are also investigated. A large class of bound multi-strange systems formed from the combination of nucleons and hyperons (n, p, Λ, Σ+ and n, p, Λ, Σ-) is suggested in the region of superheavy hypernuclei which might be stable against the strong decay. These multi-strange systems might be produced in heavy-ion reactions.


1979 ◽  
Vol 84 (2) ◽  
pp. 178-181 ◽  
Author(s):  
B. Haas ◽  
H.R. Andrews ◽  
O. Häusser ◽  
D. Horn ◽  
J.F. Sharpey-Schafer ◽  
...  

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