A collaborative augmented reality (CAR) system allows multiple users to communicate with each other in a shared 3D environment. Technology Acceptance Model (TAM) is a well-known method for predicting user acceptance of new technology, it also has the two strongest dimensions of acceptance: perceived usefulness and perceived ease of use. However, it can be further developed with external dimensions to investigate acceptance more comprehensively for the CAR system, with its 3D characteristics and collaborative ability, requires additional dimensions for measurement. This study aims to analyze and identify a suitable external dimension to be incorporated in TAM for CAR. We acquired the previous using the Web of Science database, which included keywords such as 'augmented reality,' 'virtual reality,' and 'technology acceptance model.' We analyzed eighteen high quality papers from a pool of ninety-seven papers, including journals and conferences. Resultantly, thirty-two external dimensions have been identified from previous TAM studies. After thorough analysis, a foundation TAM for the CAR system is proposed, along with suggestions for external dimensions for different CAR domain applications. The developed TAM includes perceived enjoyment, aesthetic quality, system quality, social presence, satisfaction, information quality, interactivity, collaboration quality and embodiment quality in the CAR context. Other factors, such as social norms, mobility, and others, are applicable to different CAR domain applications. The identified acceptance factors will assist researchers in enhancing their collaborative experience and conducting further analysis in the field of CAR.