https://doi.org/10.1140/epja/i2019-12693-6
Regular Article - Theoretical Physics
-4He interaction from the
4He reaction near threshold
1
Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
2
Department of Physics, Guangxi Normal University, 541004, Guilin, China
3
Departamento de Fısica Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain
* e-mail: xiejujun@impcas.ac.cn
Received:
9
August
2018
Accepted:
12
December
2018
Published online:
23
January
2019
We analyze the data on the total cross sections for the reaction close to threshold and look for possible
bound states. We develop a framework in which the
optical potential is the key ingredient, rather than parameterizing the scattering matrix, as is usually done. The strength of this potential, together with some production parameters, are fitted to the available experimental data. The relationship of the scattering matrix to the optical potential is established using the Bethe-Salpeter equation and the
loop function incorporates the range of the interaction given by the experimental 4He density. However, when we look for poles of the scattering matrix, we get poles in the bound region, poles in the positive energy region or no poles at all. If we further restrict the results with constraints from a theoretical model with all its uncertainties the bound states are not allowed. However, we find a bump structure in
of the
scattering amplitude below threshold for the remaining solutions.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2019