{"title":"Search for E(5) Critical Point Symmetry in Light Ge Isotopes","authors":"S. Bhattacharya","doi":"10.55318/bgjp.2021.48.5-6.541","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.541","url":null,"abstract":"We present here a comparative analysis of even-even Ge isotopes to further understand the γ-vibrational bands and E(5) critical point symmetry based on our recent study on Ge nucleus [1]. The properties of 64−72Ge isotopes displaying the characteristics of γ -band have been discussed in terms of energy systematic and variation of R(J)γ,gr parameter. Further, the possibility of the presence of U(5), O(6), and E(5) critical point symmetry in different Ge isotopes are predicted on the basis of experimental level energy ratios of the low lying states. The experimental results of Ge nucleus are interpreted in terms of interacting boson approximation (IBA) calculations to test the possible existence of E(5) critical point symmetry.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114345129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multiple SO(5) Isovector Pairing and Seniority Sp(2Ω) Multi-j Algebras with Isospin","authors":"V. Kota, R. Sahu","doi":"10.55318/bgjp.2021.48.5-6.411","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.411","url":null,"abstract":"","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127571338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The L-Projection of the Shell Model SU(3) Wave Functions","authors":"A. Martinou","doi":"10.55318/bgjp.2021.48.5-6.557","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.557","url":null,"abstract":"Elliott created the algebraic version of the Shell Model in the LS coupling scheme. He proved that one nuclear, leading wave function includes all the possible K rotational nuclear bands and states with good angular momentum L. Later on, Elliott and Harvey proposed the L-projection technique, from which one may project all the nuclear states with good L,K out of this unique leading wave function. Finally Vergados gave analytic expression for the projection coefficients, which are involved in this technique. Hereby I discuss another way to accomplish the L-projection technique, which involves the coupling of spherical tensor operators.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"336 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124310177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cluster Radioactivity Study of Transition Metal Region Using RMF theory","authors":"Ajeet Singh","doi":"10.55318/bgjp.2021.48.5-6.505","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.505","url":null,"abstract":"We have studied the clusters (C, O, and Ne) decay half-lives in the transition metal region (158−170W, 160−174Os, and 166−178Pt, respectively). These half-lives have been calculated using the effective liquid drop model (ELDM) of cluster decay in conjunction with the relativistic mean-field (RMF) model with the NL3* parameter set. Thus calculated cluster decay half-lives are also compared with the half-lives computed using the latest empirical relations, namely Universal decay law (UDL) and the Scaling Law was given by Horoi et al. From the calculated results, it has been observed that in the transition metal region, half-lives are minimum at Nd = 82 (Nd is the neutron number of the daughter nuclei), which is a magic number and shell effect at Nd = 82. Further, the Geiger-Nuttal plots of half-lives showing Q-value dependence for different alpha-like clusters from various CR emitters that have been plotted are found to vary linearly.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131455419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Symmetry Connecting the Shell, Collective and Cluster Models","authors":"J. Cseh","doi":"10.55318/bgjp.2021.48.5-6.457","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.457","url":null,"abstract":"The relation of the fundamental structure models is discussed. Their common intersection is provided by the U(3) dynamical symmetry for the single shell problem, and by the multiconfigurational dynamical symmetry (MUSY) of group structure Us(3)⊗Ue(3)⊃U(3) ⊃ SU(3) ⊃ SO(3) for the major-shell-excitation. Both of them show dual breaking: U(3) and SU(3) of the total Hamiltonian are dynamically broken, while SO(3) of the intrinsic Hamiltonian is spontaneously broken, resulting in deformed shape. MUSY has a composite nature: a simple dynamical symmetry is present in each configuration, and a further symmetry transforms them into each other. Together with the antisymmetrization it can completely wash out the difference between the model pictures, thus occasionally cluster and shell wavefunctions can be identical.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131736311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Single-Particle Spectra, Pairing Correlations and Spectroscopic Properties of Actinide and Heavier Nuclei","authors":"P. Quentin","doi":"10.55318/bgjp.2021.48.5-6.634","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.634","url":null,"abstract":"We discuss the relevance of the single-particle (sp) properties of the well studied Skyrme SIII interaction to describe some spectroscopic properties of heavy nuclei within self-consistent Hartree-Fock plus BCS calculations (with blocking when needed), using a simple seniority pairing residual interaction (Vres). To fit Vres we took stock of the excellent consistency found in the rare-earth region between its adjustment to both moments of inertia (MoI) of well-deformed nuclei and oddeven mass differences. For simplicity reasons we thus made a fit on MoI. Our sample of nuclei was defined by all even-even isotopes of actinide and heavier elements, with two criteria: i) be well and rigidly deformed in their ground states, as assessed by a ratio E(41 )/E(2 + 1 ) > 3.2, ii) present some isomeric activity with suggested isomeric energy (EIS) and spin/parity characterization. We have thus considered 14 actinide isotopes (from Uranium to Nobelium) plus Rf. With a simple law of variation of the pairing matrix elements according to N or Z, we get a fair reproduction of MoI except around the neutron number N = 152 where SIII exaggerates its well documented magicity (for normally deformed solutions). Such a study of MoI assesses thus also the sp spectra, of which a further evaluation of the quality is provided by the comparison of the corresponding experimental and theoretical EIS. Our calculations were limited to quasi-particle (uncoupled) configuration of the seniority 2 type. Preliminary results on some isomeric states of the considered isotopes will be discussed particularly by comparing them with those obtained in a particle number conserving approach.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129984805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Influence of Triaxial Deformation and Quasiparticle Alignment on the Structure of Chiral Partner Bands","authors":"R. Budaca","doi":"10.55318/bgjp.2021.48.5-6.467","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.467","url":null,"abstract":"The spectrum and wave-functions of chiral partner band states are investigated within a semiclassical treatment of a particle-rotor Hamiltonian with rigid quasiparticle alignments [1]. The study focuses on the variation of spectral characteristics and associated dynamics inferred by considering different triaxial deformation of the core [2] or non-axial quasiparticle alignments with arbitrary tilting [3]. The analysis is performed for valence h11/2 proton particle and h11/2 neutron hole alignments. As a result, distinct dynamical characteristics are identified in specific angular momentum ranges, especially concerning the chiral vibration regime.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132932684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Test for Octupole Collectivity in Light Barium Isotopes","authors":"N. Minkov","doi":"10.55318/bgjp.2021.48.5-6.451","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.451","url":null,"abstract":"This work explores the structure of yrast alternating-parity spectra of the light even-even Barium isotopes 118−124Ba within a collective quadrupole-octupole rotation model (QORM). The model analysis of the band-structure and parity-shift effects in these nuclei indicates the persisting manifestation of octupole collectivity away from the double “octupole magicity” (Z = 56, N = 88) and suggests that it may still govern the shape dynamics in the low Barium masses. On the other hand it is realized that different effects stemming from the intrinsic shell structure and the dominance of quadrupole deformation may have a competing role emphasizing on the need for further more detailed study of this mass region.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"388 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134516889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermal Support and Rapid Uniform Rotation: Implications on Protoneutron Stars, Hot Neutron Stars, and Neutron Star Merger Remnants","authors":"P. Koliogiannis, C. Moustakidis","doi":"10.55318/bgjp.2021.48.5-6.547","DOIUrl":"https://doi.org/10.55318/bgjp.2021.48.5-6.547","url":null,"abstract":"The equation of state along with the hot neutron star matter provides an important framework for studying essential astrophysical phenomena, such as the formation of protoneutron stars and the neutron star merger remnants. The equations of state of the fluid in the interior of the star for the above dynamical phenomena are based on the momentum-dependent interaction model and state-of-the-art microscopic data. In particular, we construct them at finite temperature with beta-stable matter, and finite entropy per baryon with varying proton fractions. Furthermore, we investigate in detail the thermal and rotation with the Kepler frequency effects on neutron star quantities, including the mass and radius, the frequency, the Kerr parameter, the moment of inertia, the central baryon density, etc. Thermal support and its effect on isolated neutron stars, as well as on the postmerger remnants, could provide useful insight and robust constraints on the equation of state of nuclear matter.","PeriodicalId":217381,"journal":{"name":"Bulgarian Journal of Physics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121861194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}