Rutherfordium is the synthetic and unstable element. It undergoes different radioactive decays such as alpha decay, beta decay, proton decay and spontaneous fission. In the present work, we have studied the competition between different decay modes such as alpha decay, beta decay, cluster decay, proton decay and spontaneous fission of Rutherfordium. By studying the competition between different decay modes, we have identified the dominant decay modes for different isotopes of mass number range 238 < A < 340. The variation of half-lives with mass number corresponds different decay modes are graphically represented. The energy released during different decay modes is also represented as a function of mass number. The calculated half-lives are compared with that of the other models available in the literature. To validate the present work, we have also compared values produced by the present method with that of the experiments.

中文翻译：

---

卢瑟福的放射性衰变

卢瑟福是合成的不稳定元素。它会经历不同的放射性衰变，例如α衰变，β衰变，质子衰变和自发裂变。在目前的工作中，我们研究了不同衰变模式之间的竞争，例如阿尔法衰变，贝塔衰变，团簇衰变，质子衰变和卢瑟福自发裂变。通过研究不同衰变模式之间的竞争，我们确定了质量数范围238 < A的不同同位素的主要衰变模式  <340.半衰期随质量数的变化相应地以图形表示了不同的衰减模式。在不同衰减模式期间释放的能量也表示为质量数的函数。将计算出的半衰期与文献中提供的其他模型进行比较。为了验证当前的工作，我们还比较了通过本方法产生的值和实验值。