Well I am not aware of a well documented checklist for evaluating user experience, but regarding existing and fast readable literature i could recommend The Elements of User Experience from J. J. Garrett (http://www.jjg.net/elements/).
As far as I know, there is no standard approach to usability evaluation. You have to find an approach that fits your system and objectives.
The System Usability Scale is an easy to use 10-item questionnaire eliciting opinion of test subjects and allowing for comparison with later versions or usability evaluations of other systems. It is however quite general. To identify potential for improvement focus groups may be more suitable than testing by individual subjects.
Some related research:
Davis, F. D. (1989). Perceived Usefulness, Perceived Ease of Use, and User Acceptance of Information Technology. MIS Q., 13(3), 319–340. doi:10.2307/249008
Bangor, A., Kortum, P. T., & Miller, J. T. (2008). An Empirical Evaluation of the System Usability Scale. International Journal of Human-Computer Interaction, 24(6), 574–594. doi:10.1080/10447310802205776
Burton-Jones, A., & Straub, D. W. (2006). Reconceptualizing System Usage: An Approach and Empirical Test. Information Systems Research, 17(3), 228–246.
Palmer, J. W. (2002). Web Site Usability, Design, and Performance Metrics. Info. Sys. Research, 13(2), 151–167. doi:10.1287/isre.13.2.151.88
Tullis T., Albert W. (2013) Measuring the User Experience: Collecting, Analyzing, and Presenting Usability Metrics (2nd Ed.), Amsterdam: Morgan Kaufmann, XVII+301 p. | https://amzn.to/2A091EC
Barnum C. M. (2011) Usability Testing Essentials: Ready, Set...Test!, Amsterdam: Morgan Kaufmann, XXII+382 p. | https://amzn.to/2zY6YAN
Rubin J., Chisnell D. (2008) Handbook of Usability Testing: How to Plan, Design, and Conduct Effective Tests (2nd Ed.), Indianapolis: Wiley Publishing, XXXVI+348 p. | https://amzn.to/2JLHK8u
Nielsen J., Mack R. L. (Eds.) (1994) Usability Inspection Methods, New York: John Wiley & Sons, XXIV+413 p. | https://amzn.to/2JM15WW