Interaction between Tachyon and Hessence (or Hantom) dark energies
Surajit Chattopadhyay (Pailan College of Management, Technology,, Kolkata), Ujjal Debnath (Bengal Engineering, Science University, Howrah)

TL;DR
This paper explores the interactions between tachyon and hessence (or hantom) dark energies in the universe, analyzing their potentials and establishing a correspondence with modified Chaplygin gas models.
Contribution
It introduces a detailed analysis of tachyon-hessence/hantom interactions and derives potential behaviors and parameter relations within this framework.
Findings
Tachyonic potential decreases with the field.
Hessence/hantom potential increases with the field.
Established correspondence with modified Chaplygin gas models.
Abstract
In this paper, we have considered that the universe is filled with tachyon, hessence (or hantom) dark energies. Subsequently we have investigated the interactions between tachyon and hessence (hantom) dark energies and calculated the potentials considering the power law form of the scale factor. It has been revealed that the tachyonic potential always decreases and hessence (or hantom) potential increases with corresponding fields. Furthermore, we have considered a correspondence between the hessence (or hantom) dark energy density and new variable modified Chaplygin gas energy density. From this, we have found the expressions of the arbitrary positive constants B0 and C of new variable modified Chaplygin gas.
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