ECONOMIC WORRIES PERSIST
Leading economists echo President Reagan's assessment that the economy will remain ''soggy'' in the coming months, but they also warn that continuing high interest rates and the specter of inflationary Government deficits will hamper the President's recovery program well beyond the near-term. The economists say that until these negative factors are removed, the economy will remain stagnant, despite the cut in tax rates. And they are not impresssed by some of the recent positive economic indicators. ''The economy has really gone nowhere since the first quarter of 1979,'' said Alan Reynolds, chief economist for Polyconomics Inc., a private consulting firm. ''I don't think we are going to get out of this trap until we get a credible long-term monetary policy which will ensure the purchasing power of the dollar over the years.''