Jindal isn’t a natural born US citizen for the same reason that Obama isn’t - at the time he was born, his parents were not US citizens.
In the case of Obama, what is commonly accepted (*) as the truth about his birth almost mirrors what the Democrats alleged about Chester Arthur when they wanted to disqualify him from being Vice-President (and President).
* Both Arthur and Obama were the sons of men who were originally subjects of the British Crown;
* Both Arthur and Obama were the sons of women who were (natural born) US citizens, each from a long line of citizens;
* Both Arthur and Obama were alleged to have been born outside the territory of the US - not that this matters to the issue of being a natural born citizen:
- In the case of Arthur, it was his political enemies who alleged it;* A major difference:
- In the case of Obama, it was he himself, and his wife, who have alleged it … when it served his purpose;
- Obama’s father never was a US citizen, therefore, Obama is not, and never can be, a natural born US citizen;(*) Since he refuses to make the actual records available, no one outside a small circle even knows where he was born … and *where* never was the issue, anyway.
- Arthur’s was a naturalized US citizen - the point of dispute, the point on which the Democrat’s case to disqualify Arthur hinged, was whether Chester Arthur’s father was naturalized before or after Chester’s birth:
. that is, if, as the Democrats alleged, Arthur’s father was naturalized after his birth, then Arthur was not a natural born US citizen, and thus was Constitutionally ineligible to be either Vice-President or President;
. on the other hand, if, as Arthur alleged, his father was naturalized before his birth, then Arthur was indeed a natural born US citizen, and thus was Constitutionally eligible to be both Vice-President and President;
(*) and Marco Rubio, and Ted Cruz ... and Barack Obama