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In Faddeev calculations of ^3Hwe study the dependence of the binding on thethree nucleon force. We adopt the 2 pi -exchange Tucson-Melbourne three-nucleonforce and investigate phenomenologically the dependence on the strength of theindividual three-body force operators (a -, b -, c - and d -terms). While the a-term provides a tiny contribution the b - and d -terms provides a tinycontribution the b - and d -terms are important to gain the experimentalbinding energy. We find two solutions for the c -term, one around the valueused in the Tucson-Melbourne model and a new one close to zero, which supportsthe recentrecommendation of chiral perturbation theory that the short-range c-term should be dropped.Comment: 12 pages (3 figures

The c -Term of the Tucson-Melbourne Three-Body Force: To Be or Not to Be