Classic Gazpacho with Smoked Paprika Oil

Name: Classic Gazpacho with Smoked Paprika Oil
Ingredients: 2 pounds tomatoes, cored and cut in half; 1 mild chile pepper, deveined and seeded (if I'm feeling ambitious, otherwise I just use the entire pepper) (I have used fire-roasted New Mexican green chiles, but raw green Anaheims are more traditional.); 1 cucumber peeled and cut into big chunks; 1 small red or white onion peeled and quartered; 2 cloves garlic, peeled; 2 teaspoons sherry vinegar; 1 teaspoon good quality salt or more to taste; 1/4 to 1/2 cup great quality olive oil