(1) Exclusive jurisdiction over all lands which are or shall be included in the Hot Springs National Park in the State of Arkansas and which have not previously been included in acts of the General Assembly is ceded to the United States to be exercised so long as the lands remain the property of the United States, except that this cession of jurisdiction shall not prevent the execution of any process of the state, civil or criminal, on any person who may be in the park or on park premises.
(2) The right to tax all structures and other property in private ownership on the Hot Springs National Park is reserved to the State of Arkansas.