The helical quadrupole focusing channel (HQFC) is one of the advanced types of particle focusing channels, specifically used in heavy-ion accelerators. An HQFC consists of a continuous quadrupole magnetic field that twists helically along the axis of the charged particle beam. This unique design enhances the focusing an‎d stability of beams in heavy-ion accelerators. HQFCs are classified into two main types: electrostatic an‎d magnetic. In the electrostatic type, electric fields are used to focus the particles, whereas in the magnetic type, magnetic fields are applied. Compared to older designs, this novel technology offers greater capability in precise beam control an‎d improved acceleration processes. It plays a particularly significant role in synchrotron accelerators an‎d particle colliders. The unique design of this channel provides higher focusing power an‎d beam stability for heavy charged particles, making HQFCs a promising breakthrough in accelerator technology. In the present research project, we analyze the characteristics of the helical quadrupole focusing channel (HQFC) an‎d, by considering space charge as a perturbation, we investigate its effects on the four-dimensional transfer matrix, beam envelope, Twiss parameters, an‎d emittance. The main objective of this study is to examine the detailed dynamics of particle motion in HQFCs an‎d to provide an accurate model for predicting beam behavior in these channels.

مريم حسنوند , نجمه سادات ميريان

ظفراله كلانتري

حامد بخشيان , سجاد مري