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For situations in which dissipation is negligible, as taken to be the case in the present investigation, there is an additional simplification in that partial-wave phase shifts become real numbers that vanish when the partial-wave index becomes large and when the wave-number-sphere-radius product vanishes. By restricting attention to monopole and dipole phase shifts, transitions in the axial radiation force for axisymmetric wave-fields are found to be related to wave-field parameters for traveling and standing Bessel wave-fields by considering the ratio of the phase shifts. For traveling waves, the special force conditions concern negative forces while for standing waves, the special force conditions concern vanishing radiation forces. An intermediate step involves considering the functional dependence on phase shifts. An appendix gives an approximation for zero-force plane standing wave conditions. Connections with early investigations of acoustic levitation are mentioned and some complications associated with viscosity are briefly noted.<\/jats:p>","DOI":"10.1121\/1.4982203","type":"journal-article","created":{"date-parts":[[2017,5,3]],"date-time":"2017-05-03T10:54:10Z","timestamp":1493808850000},"page":"3042-3049","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":37,"title":["Relationship of scattering phase shifts to special radiation force conditions for spheres in axisymmetric wave-fields"],"prefix":"10.1121","volume":"141","author":[{"given":"Philip L.","family":"Marston","sequence":"first","affiliation":[{"name":"Washington State University Physics and Astronomy Department, , Pullman, Washington 99164-2814, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Likun","family":"Zhang","sequence":"additional","affiliation":[{"name":"University of Mississippi Physics Department, , University, Mississippi 38677, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"231","published-online":{"date-parts":[[2017,5,3]]},"reference":[{"key":"2023071700244759000_c1","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1121\/1.414648","article-title":"Radiation force on a spherical object in an axisymmetric wave field and its application to the calibration of high-frequency transducers","volume":"99","year":"1996","journal-title":"J. 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