There is no single "correct" answer as the name should reflect the desired image and future of the unified state. Here are several options, categorized by approach, for a country name resulting from a union between Palestine and Israel:

Options emphasizing unity and shared heritage:

• Land of Abraham: A religiously significant name referencing a common patriarch. It's inclusive but might be considered too religiously focused by some.
• Canaan: The ancient name for the region, suggesting a return to historical roots. It avoids explicitly mentioning either nation, but might lack modern appeal.
• The Levant: A geographical term encompassing the region, emphasizing its location and history. It's neutral but may not be evocative enough for some.
• United Canaan: A more direct approach combining the ancient name with a sense of unity.
• Abraham's Land of Peace: Combines religious significance with a desired outcome.

Options emphasizing a new beginning:

• New Canaan: Suggests a fresh start while retaining historical connection.
• The Promised Land: A religiously charged name, but powerful and evocative. However, its religious connotations might be divisive.
• Ayalon: A biblical name, less overtly religious than others, suggesting a new era.
• Shalom: The Hebrew word for peace, a powerful symbol of the desired outcome. However, it's a single word and might be considered too simple.

Options reflecting a balance between the two nations:

• Isra-Palestine: A simple combination of the two names, showing equal representation.
• Palestine-Israel: Similar to above, but with a different order.
• The United States of Canaan: A more formal name, suggesting a federal structure.

Options incorporating geographical features:

• The Mediterranean State: Focuses on the geographical location.
• The Jordan Valley State: Highlights a significant geographical feature.

The best choice depends on the political and social context of the unification and the desired image projected to the world. Each option carries different connotations and potential for acceptance or rejection by different groups. Further consideration should be given to the cultural sensitivities and historical significance of each name.