https://doi.org/10.1140/epja/s10050-020-00067-2
Regular Article -Theoretical Physics
scattering in an improved many-body potential
1
Department of Physics, University of Okara, Okara, 56300, Pakistan
2
Department of Physics, School of Science, University of Management and Technology, Lahore, 54770, Pakistan
3
Centre For High Energy Physics, Punjab University, Lahore, 54590, Pakistan
* e-mail: imran.jamil@umt.edu.pk
Received:
2
August
2019
Accepted:
16
January
2020
Published online:
20
February
2020
We calculate the cross sections for the processes 
, 
(
) and 
by modifying the usual sum of two-body interaction through a four-body form factor whose parameters are fitted to the relevant lattice QCD simulations. We use the formalism of the resonating group method, with the Born approximation utilized to decouple the resulting integral equations. Cross sections with using the realistic Cornell potential for each of the two-body interactions in the Hamiltonian are reported and are compared to those obtained through the quadratic potential. It is found that using four-body form factor, there is a significant suppression in the cross sections as compared to the more popular sum of two-body interaction. We find that total dissociation cross section of 
by 
meson is of the order of 0.1 mb for the most reliable case of Cornell potential with four-body form factor.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
