Half-Shell T-Matrix for α-p and α-12C Scattering

Exact analytical expressions of the Fredholm determinants for the Hulthén-modified separable nonlocal potential with regular, irregular, and physical boundary conditions are constructed in terms of the generalized hypergeometric functions. Exploiting the regular solution, the off-shell Jost function...

Full description

Saved in:
Bibliographic Details
Published inBrazilian journal of physics Vol. 51; no. 5; pp. 1478 - 1489
Main Authors Sahoo, P., Laha, U., Khirali, B., Behera, A. K.
Format Journal Article
LanguageEnglish
Published New York Springer US 2021
Springer Nature B.V
Subjects
Boundary conditions
Elastic scattering
Hypergeometric functions
Mathematical analysis
Nuclear Physics
Physics
Physics and Astronomy
Standard data
Half-shell T-matrix
Hulthén-modified separable potential
Solutions
Off-shell Jost function
Scattering phase shifts
Online AccessGet full text

Cover

More Information
Summary:Exact analytical expressions of the Fredholm determinants for the Hulthén-modified separable nonlocal potential with regular, irregular, and physical boundary conditions are constructed in terms of the generalized hypergeometric functions. Exploiting the regular solution, the off-shell Jost function and half-shell T-matrix are obtained in maximal reduced form. The T-matrix and the elastic scattering phase shifts for the nucleon-nucleus and nucleus-nucleus systems are computed. Good agreement with standard data in phase shift results is obtained.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-021-00903-w