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As the annihilation contributions play important roles in solving the puzzleof the small longitudinal polarizations in $B\to K^* \phi$ decays, we examinethe similar effects in the decays of $B\to K^*_{0,2}(1430) \phi$. For thecalculations on the annihilated contributions, we adopt that the form factorsin $B\to K^{(*)} \phi$ decays are parameters determined by the observedbranching ratios (BRs), polarization fractions (PFs) and relative angles inexperiments and we connect the parameters between $B\to K^*_{0(2)} \phi$ and$B\to K^{(*)}\phi$ by the ansatz of correlating $\la K^*_n(1430) \phi|(V-A)_{\mu}|0\ra$ to $\la K^{(*)} \phi| (V-A)_{\mu}|0\ra$. We find that the BRof $B_d\to K^{*0}_{0}(1430) \phi$ is $(3.69 \pm 0.47)\times 10^{-6}$. By usingthe transition form factors of $B\to K^*_2(1430)$ in the light-front quarkmodel (LFQM) and the 2nd version of Isgur-Scora-Grinstein-Wise (ISGW2), we showthat BR of $B_d\to K^{*0}_{2}(1430)\phi$ is a broad allowed value and$(1.70\pm0.80)\times 10^{-6}$, respectively. In terms of the recent BABAR'sobservations on BRs and PFs in $B_d\to K^{*0}_{2}(1430)\phi $, the results inthe LFQM are found to be more favorable. In addition, due to the annihilationcontributions to $B\to K^*_2\phi$ and $B\to K^*\phi$ being opposite in sign, wedemonstrate that the longitudinal polarization of $B_d\to K^{*0}_2(1430) \phi$is always O(1) with or without including the annihilation contributions.Comment: 20 pages, 4 figures, references added, version to appear in Phys.  Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Expectations on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>K</mml:mi><mml:mn>0</mml:mn><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>1430</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:msubsup><mml:mi>K</mml:mi><mml:mn>2</mml:mn><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>1430</mml:mn><mml:mo …

Expectations onB→(K0*(1430),K2*(1430

Expectations onB→(K0(1430),K2(1430