Which is more suitable, happiness index or happiness index?

Both will do.

1, the happiness index emphasizes instant and temporary happiness and pleasure. It is related to a specific event, experience or instant joy, and can be used to describe a specific moment or short-term emotional upsurge, such as a birthday party, getting a gift, traveling with friends, etc.

2. Happiness index tends to describe more lasting and deeper inner satisfaction and happiness, covering a wider range of life and long-term emotional state, including feelings about life satisfaction, mental health, interpersonal relationship, self-realization and so on.