Holz, Sheila M.Filho, Victo S.Tomio, LauroGammal, A.2014-05-202014-05-202006-07-01Physical Review A. College Pk: American Physical Soc, v. 74, n. 1, 6 p., 2006.1050-2947http://hdl.handle.net/11449/23720Critical limits of a stationary nonlinear three-dimensional Schrodinger equation with confining power-law potentials (similar to r(alpha)) are obtained using spherical symmetry. When the nonlinearity is given by an attractive two-body interaction (negative cubic term), it is shown how the maximum number of particles N-c in the trap increases as alpha decreases. With a negative cubic and positive quintic terms we study a first order phase transition, that occurs if the strength g(3) of the quintic term is less than a critical value g(3c). At the phase transition, the behavior of g(3c) with respect to alpha is given by g(3c)similar to 0.0036+0.0251/alpha+0.0088/alpha(2).6engArtigo10.1103/PhysRevA.74.013406WOS:000239425900083Acesso abertoWOS000239425900083.pdf