To prepare simple syrup: In a small saucepan over medium heat, combine water and sugar. Heat, stirring occasionally, until the sugar is completely dissolved. Remove saucepan from heat and add cardamom pods. Allow to steep for 20 minutes before straining the mixture into an airtight container such as a mason jar. Allow to cool completely in refrigerator prior to use. Keeps for up to 4 weeks in a refrigerated airtight container.

To prepare 1 cocktail: Fill a rocks glass with ice water and allow to chill while you prepare cocktail.

Fill a shaker with ice. Combine white rum, pear juice, cardamom simple syrup, and salt in shaker. Shake until well combined, about 20-25 seconds. Empty chilled rocks glass and place one pear half in the glass. Strain contents of shaker into the rocks glass and top with club soda.