A new nonlinear laser technique, yielding accurate and detailed information about the photodetachment process, is applied to the study of excited states in atomic negative ions. The method has facilitated the first experimental observation of the controversial 4 P state in the Ca 2 ion and the homologous state in the Sr 2 ion and also provided comprehensive information about their binding energies, fine-structure intervals, and autodetachment lifetimes, together with the absolute strengths of the intercombination transitions to the 2 P ground states. [S0031-9007 (97)02770-1] PACS numbers: 32.80.GcAcquiring reliable information about the structure and dynamics of negative ions, especially of weakly bound systems like the alkaline-earth ions, has proven to be a challenge in atomic physics. Previously, the most accurate and trustworthy data were obtained from photodetachment studies based either on observation of the neutral atom yield or on electron spectroscopy. Absolute crosssection measurements are, however, difficult to perform with these methods, since accurate information about both the ion density and the number of produced atoms is required. In addition, the sensitivity and resolution obtainable with these methods were not sufficient to gain the much needed structural information about weakly bound ions which constitute the test field for the ongoing theoretical and computational development. Recently, a new nonlinear spectroscopic technique was introduced which allowed the determination of structural information for long-lived or stable states, by measuring the relative photodetachment yield detected by state-selective resonant ionization of the produced atoms [1].In this Letter, we present a new and markedly different nonlinear laser technique, based on the measurement of the photodetachment depletion of a specific long-lived or stable negative-ion state. This method allows photodetachment studies of individual fine-structure components of the negative ion yielding partial absolute el-wave cross sections (i.e., es, ed wave ) in the vicinity of an autoionizing state. The applicability and potential of this technique are demonstrated by studies of the photodetachment cross section of the Ca 2 2 P ground-state levels in the vicinity of the first excited 4s4p 2 4 P state, together with similar studies of the Sr 2 ion. The new technique has facilitated the first unambiguous observation of the 4 P states, and also made possible a comprehensive study of these autodetaching ions, yielding information about their structural and dynamic properties.The 4s4p 2 4 P state has played a very important role in the process leading to the present understanding of the Ca 2 ion, the most studied negative ion for the last ten years (for a review, see Ref.[2]). It is, however, doubtful whether the Ca 2 4 P ion has ever been ob-served [2-9]. Prior to 1987, when the stable Ca 2 ion was discovered [10], the existence of this ion was assumed to be due to the 4s4p 2 4 P state which was predicted to be a long-lived metastable state, ...