Variation of cross section with special points for 16O(5/2+) and 16O(1/2+) states in Alt Grassberger Sandhas version of Faddeev approach

Anjana Acharya, Rajib L Nayak


Gauss Legendre special points and weights play a prime role in calculating the cross sections of nuclei in the excited states upto some extent. The inputs taken in these calculations are the separable form of T-matrix and the coupled angular momentum basis. The deuteron is considered to be a mixture of singlet as well as triplet states. The form of the potential is Wood–Saxon type and the parameters are fitted by Reid Soft Core potential. The main objective of our work is to show how the cross section varies with respect to the Gauss Legendre’s special points in terms of fermi.


Nuclear physics

Full Text:



V. N. Koshchev and V. V. Sinitsa, “Method of calculating the fundamentals of cross sections in the region of forbidden resonances”, UDC 539., Plenum Publishing Corporation

Paul E Saylor and Dennis C Suolarski, “Why Gaussian quadrature in the complex plane”, Numerical Algorithm, 26, 251-280 (2001), Kluwer Academic Publishers, Netherland

Matej Batic, Maria Grazia Pia and Sam J Cipolla, “ISICSoo: A class for the calculation of ionization cross section from ECPSCR and PWBA theory”, arXiv:1110.0613v1[physics.comp-ph], (4 Oct, 2011)

B Rennie Kaunda et al, “Applications of a Gaussian quadrature algorithm to cross section calculations in bluff displacement modeling studies”, Geological Society of America Abstracts with Programs, 37(7), 518 (2005)

Leslie M Kerby and Stefan G Mashnik, “Total reaction cross section s in CEM and MCNP6 at intermediate energies”, arXiv:1505.00842v1[nucl-th], (4 May, 2015)

E. O. Alt, W Sandhas, “Scattering amplitudes and integral equations for the collision of two charged composite particles”, Physical Review C, 21, 1773 (1980)

Van Haeringen, “Off‐shell T matrix for Coulomb plus simple separable potentials for all l in closed form”, Journal of Math Phys, 24, 1274 (1983)

L. Kowalski, “Generalization and applications of the Sasakawa theory”, Nuclear Physics A, 190, 645, (1972)

P. Doleschall, “Few Body Systems and Nuclear Forces II”, 8th International Conference Held in Graz Nuclear Physics A, 201, 264 (1973)

A. Acharya and R. L. Nayak, “Phase shift calculation for the nuclei (16O,17F) & ( 40Ca ,41Sc) near and far from stability line”, International Journal of Current Research, 8(06), 32393-32395, (2016)

A. Acharya, R. L. Nayak and T. Sahoo, “Unitary pole approximation for 16O (S1/2state) and 40ca (P3/2state) when coulomb interaction is included”, International Journal of Science Technical Research, 1(1), (2015)

V. S. Mathur and Anjana Acharya, Conservation of channel spin in transfer reaction, PRAMANA-Journal of Physics, 46(1), 67-74, (1996) doi: 10.1007/BF02848590


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

ISSN: 2394-3688

© Science Front Publishers