What the Buddha Taught – Samma Samadhi
Idaṃ pure cittamacāri cārikaṃ, yenicchakaṃ yatthakāmaṃ yathāsukhaṃ. Tadajjahaṃ niggahessāmi yoniso, hatthippabhinnaṃ viya aṃkusaggaho.
This mind that wandered as it liked, wherever it wished, wherever it saw pleasure, Today, with attentiveness, I shall train it like a mahout trains a wild elephant. —Dhammapada 326
Samma Samadhi
S. N. Goenka
If the mind is fixed upon any object, it will become absorbed in meditation, it will become still, it will achieve one-pointed concentration, but mere concentration of mind is not sammā samādhi (right concentration). For sammā samādhi, it is necessary for the mind to be wholesome, it is necessary for the mind to be untainted. Only the one-pointedness of a wholesome mind can be called kusalacittekaggatā samādhi—samādhi free from defilements.
Samādhi means that the mind is established in equanimity. A mind that is focused upon an external object cannot attain equanimity; it will only disturb the balance of the mind. That is why only the concentration of a wholesome mind should be regarded as sammāsamādhi.
Reference & For Further Discourse: Vipassana Research Institute – Samma Samadhi