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In the recent experiments designed to synthesize the element 115 in the$^{243}$Am+$^{48}$Ca reaction at Dubna in Russia, three similar decay chainsconsisting of five consecutive $\alpha$-decays, and another different decaychain of four consecutive $\alpha$-decays are detected, and the decayproperties of these synthesized nuclei are claimed to be consistent withconsecutive $\alpha$-decays originating from the parent isotopes of the newelement 115, $^{288}115$ and $^{287}115$, respectively\cite{ogan.03}. Here inthe present work, the recently developed deformed RMF+BCS method with adensity-independent delta-function interaction in the pairing channel isapplied to the analysis of these newly synthesized superheavy nuclei$^{288}115$, $^{287}115$, and their $\alpha$-decay daughter nuclei. Thecalculated $\alpha$-decay energies and half-lives agree well with theexperimental values and with those of the macroscopic-microscopic FRDM+FY andYPE+WS models. In the mean field Lagrangian, the TMA parameter set is used.Particular emphasis is paid on the influence to both the ground-stateproperties and energy surfaces introduced by different treatments of pairing.Two different effective interactions in the particle-particle channel, i.e.,the constant pairing and the density-independent delta-function interaction,together with the blocking effect are discussed in detail.Comment: 17 pages, 5 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-decay chains of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mn>115</mml:mn><mml:mprescripts /><mml:mrow><mml:mn>173</mml:mn></mml:mrow><mml:mrow><mml:mn>288</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:…

α-decay chains of115173288and