By means of the recursion relations method, the exact formulations of magnetizations for a mixed spin-1/2 and spin-3/2 Blume-Capel Ising ferromagnetic model on Bethe lattice in a longitudinal magnetic field are presented. The exact expressions for sublattice magnetizations and average magnetization per site are obtained, respectively, and the temperature dependence of the magnetizations for the Bethe lattice with coordination number 4 is numerically studied. The effects of the longitudinal field and crystal-field interaction on the magnetizations are also studied. It is found that the sublattice magnetizations and average one have two different saturation values in the case of low temperature, and decrease from three different saturation values to the same constant as D/J decreases in the case of high temperature.

通过递归关系方法，给出了在Bethe晶格上在纵向磁场中混合的自旋1/2和自旋3/2 Blume-Capel Ising铁磁模型磁化强度的精确公式。分别获得了亚晶格磁化强度和每个部位平均磁化强度的精确表达式，并对配位数为4的Bethe晶格的磁化强度的温度依赖性进行了数值研究。还研究了纵向场和晶体场相互作用对磁化强度的影响。发现在低温情况下，亚晶格磁化强度和平均值具有两个不同的饱和度值，并且从三个不同的饱和度值减小到与D / J相同的常数 在高温情况下降低。