DOI 10.1140/epjp/i2018-11836-0 Regular Article Eur. Phys. J. Plus (2018) 133:7 T HE EUROPEAN P HYSICAL JOURNAL PLUS Alpha-decay half-lives for isotopes of even-even nuclei: A temperature-dependent approach with Woods-Saxon potential S.S. Hosseini 1, a , H. Hassanabadi 1 , D.T. Akrawy 2,3 , and S. Zarrinkamar 4 1 Faculty of Physics, Shahrood University of Technology, Shahrood, Iran 2 Akre Computer Institute, Ministry of education, Kurdistan, Iraq 3 Becquerel Institute for Radiation Research and Measurements, Erbil, Kurdistan, Iraq 4 Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran Received: 29 June 2017 / Revised: 25 November 2017 Published online: 9 January 2018 – c  Societ` a Italiana di Fisica / Springer-Verlag 2018 Abstract. The alpha-decay process is investigated in the presence of the nuclear temperature. Using an analytical approach for the calculation of effective sharp radius and a new barrier potential, the half-lives for the even-even nuclei of Po, Pb, Ra, Rb, Rn, Th and U are derived and compared with the experimental data. 1 Introduction The quantum mechanical formulation of alpha-decay (AD) in terms of the tunneling effect was proposed nearly a century ago [1]. During the past years, many important concepts have been investigated within this framework, including nuclear spin and parity, nuclear deformation and shell effects [2–14]. In this way, various models have been formulated including fission-like [15], generalized liquid drop [16], generalized density-dependent cluster [17], unified model for alpha-decay and alpha capture [18], Coulomb and proximity potential [19] unified fission [20] and density- dependent [21]. In particular, various models have been used for the nuclear potential. The most frequently used ones are the preformed cluster model (PCM) proposed by Gupta et al. [22, 23], the dynamical cluster-decay model (DCM) [24], the Coulomb and proximity potential model (CPPM) by Santhosh and Priyanka [25] and the generalized liquid drop model (GLDM) [26]. Malik and Gupta considered analytically the PCM for the 14 C decay of 232 U [27], where the cluster was assumed to be performed in the parent nucleus. The PCM is based on the quantum mechanical fragmentation theory (QMFT) [28,29]. In fact, the QMFT-based dynamical cluster-decay model (DCM) for hot and rotating nuclei is based on the PCM proposed by Gupta et al. [30,31]. The cluster-decay model of a 230 U isotope with the emission of neon clusters ( 22 Ne and 24 Ne) was experimentally investigated by Bonetti et al. [32]. Santhosh et al. [33] calculated half-lives (HLs) for cluster-decay modes of some heavy nuclei by using the Coulomb proximity potential model (CPPM). Adel and Alharbi [34] studied the cluster-decay HLs in the emission of clusters 14 C, 20 O, 23 F, 22,24,26 Ne, 28 Mg and 32,34 Si from various parents leading to doubly magic 208 Pb and neighboring nuclei have been calculated in the framework of the density-dependent cluster model. Spontaneous fission and cluster radioactivity were studied in 1980 by Sandulescu, Poenaru, and Greiner [35,36] using the quantum fragmentation theory. Rose and Jones experimentally observed the radioactive decay of 223 Ra by emitting 14 C [37,38]. The heavy-particle radioactivity was recently reviewed by Poenaru et al. [39]. Hassanabadi et al. considered the AD HLs for even-even nuclei from 178 Po to 238 U and derived the decay constant [40]. The HL of various clusters from even-even isotopes of Ba in the ground and excited states were studied using the Coulomb and proximity potential model by Santhosh et al. [41]. We have organized the present work as follows. In sect. 2, the basic concepts of the AD process are introduced. In sect. 3, we consider the overlapping regions with the Coulomb, centrifugal and nuclear Woods-Saxon interactions to calculate the HL. We have here the case of the preformed cluster model (PCM), i.e. P 0 = 1. Important features of the problem including surface width and effective sharp radii for similar isotopes of some even-even nuclei are reported. Section 4 includes conclusions and discussions. a e-mail: seyedesamira.hosseini@gmail.com (corresponding author)