Add the raspberries, lime juice, and simple syrup into a cocktail shaker and muddle well. Pour in the white rum and add a handful of ice cubes. Shake vigorously until well chilled. Fine strain into a chilled coupe or martini glass. Garnish with a raspberry or lime twist. For a frozen Raspberry Daiquiri: Add rum, lime juice, simple syrup, raspberries, and crushed ice to a blender. Blend until smooth and slushy. Pour into a chilled glass. Garnish with a fresh raspberry or mint sprig.