You can create an intent for the action (in this case stop playing) and then add it as an action button to your notification.
Intent snoozeIntent = new Intent(this, MyBroadcastReceiver.class);
snoozeIntent.setAction(ACTION_SNOOZE);
snoozeIntent.putExtra(EXTRA_NOTIFICATION_ID, 0);
PendingIntent snoozePendingIntent =
PendingIntent.getBroadcast(this, 0, snoozeIntent, 0);
NotificationCompat.Builder mBuilder = new NotificationCompat.Builder(this, CHANNEL_ID)
.setSmallIcon(R.drawable.notification_icon)
.setContentTitle("My notification")
.setContentText("Hello World!")
.setPriority(NotificationCompat.PRIORITY_DEFAULT)
.setContentIntent(pendingIntent)
.addAction(R.drawable.ic_snooze, getString(R.string.snooze),
snoozePendingIntent);
Please refer to the Android documentation.