The Formation and Structure of R-Process Nuclei, Between N=50 and 82 (Including 78Ni and 132Sn Areas)
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The R-Process Nucleosynthesis and Related Challenges
EPJ Web of Conferences 165, 01025 (2017) DOI: 10.1051/epjconf/201716501025 NPA8 2017 The r-process nucleosynthesis and related challenges Stephane Goriely1,, Andreas Bauswein2, Hans-Thomas Janka3, Oliver Just4, and Else Pllumbi3 1Institut d’Astronomie et d’Astrophysique, Université Libre de Bruxelles, CP 226, 1050 Brussels, Belgium 2Heidelberger Institut fr¨ Theoretische Studien, Schloss-Wolfsbrunnenweg 35, 69118 Heidelberg, Germany 3Max-Planck-Institut für Astrophysik, Postfach 1317, 85741 Garching, Germany 4Astrophysical Big Bang Laboratory, RIKEN, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan Abstract. The rapid neutron-capture process, or r-process, is known to be of fundamental importance for explaining the origin of approximately half of the A > 60 stable nuclei observed in nature. Recently, special attention has been paid to neutron star (NS) mergers following the confirmation by hydrodynamic simulations that a non-negligible amount of matter can be ejected and by nucleosynthesis calculations combined with the predicted astrophysical event rate that such a site can account for the majority of r-material in our Galaxy. We show here that the combined contribution of both the dynamical (prompt) ejecta expelled during binary NS or NS-black hole (BH) mergers and the neutrino and viscously driven outflows generated during the post-merger remnant evolution of relic BH-torus systems can lead to the production of r-process elements from mass number A > 90 up to actinides. The corresponding abundance distribution is found to reproduce the∼ solar distribution extremely well. It can also account for the elemental distributions observed in low-metallicity stars. However, major uncertainties still affect our under- standing of the composition of the ejected matter. -
Photofission Cross Sections of 238U and 235U from 5.0 Mev to 8.0 Mev Robert Andrew Anderl Iowa State University
Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 1972 Photofission cross sections of 238U and 235U from 5.0 MeV to 8.0 MeV Robert Andrew Anderl Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Nuclear Commons, and the Oil, Gas, and Energy Commons Recommended Citation Anderl, Robert Andrew, "Photofission cross sections of 238U and 235U from 5.0 MeV to 8.0 MeV " (1972). Retrospective Theses and Dissertations. 4715. https://lib.dr.iastate.edu/rtd/4715 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. INFORMATION TO USERS This dissertation was produced from a microfilm copy of the original document. While the most advanced technological means to photograph and reproduce this document have been used, the quality is heavily dependent upon the quality of the original submitted. The following explanation of techniques is provided to help you understand markings or patterns which may appear on this reproduction, 1. The sign or "target" for pages apparently lacking from the document photographed is "Missing Page(s)". If it was possible to obtain the missing page(s) or section, they are spliced into the film along with adjacent pages. This may have necessitated cutting thru an image and duplicating adjacent pages to insure you complete continuity, 2. -
1 Lecture Notes in Nuclear Structure Physics B. Alex Brown November
1 Lecture Notes in Nuclear Structure Physics B. Alex Brown November 2005 National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy Michigan State University, E. Lansing, MI 48824 CONTENTS 2 Contents 1 Nuclear masses 6 1.1 Masses and binding energies . 6 1.2 Q valuesandseparationenergies . 10 1.3 Theliquid-dropmodel .......................... 18 2 Rms charge radii 25 3 Charge densities and form factors 31 4 Overview of nuclear decays 40 4.1 Decaywidthsandlifetimes. 41 4.2 Alphaandclusterdecay ......................... 42 4.3 Betadecay................................. 51 4.3.1 BetadecayQvalues ....................... 52 4.3.2 Allowedbetadecay ........................ 53 4.3.3 Phase-space for allowed beta decay . 57 4.3.4 Weak-interaction coupling constants . 59 4.3.5 Doublebetadecay ........................ 59 4.4 Gammadecay............................... 61 4.4.1 Reduced transition probabilities for gamma decay . .... 62 4.4.2 Weisskopf units for gamma decay . 65 5 The Fermi gas model 68 6 Overview of the nuclear shell model 71 7 The one-body potential 77 7.1 Generalproperties ............................ 77 7.2 Theharmonic-oscillatorpotential . ... 79 7.3 Separation of intrinsic and center-of-mass motion . ....... 81 7.3.1 Thekineticenergy ........................ 81 7.3.2 Theharmonic-oscillator . 83 8 The Woods-Saxon potential 87 8.1 Generalform ............................... 87 8.2 Computer program for the Woods-Saxon potential . .... 91 8.2.1 Exampleforboundstates . 92 8.2.2 Changingthepotentialparameters . 93 8.2.3 Widthofanunboundstateresonance . 94 8.2.4 Width of an unbound state resonance at a fixed energy . 95 9 The general many-body problem for fermions 97 CONTENTS 3 10 Conserved quantum numbers 101 10.1 Angularmomentum. 101 10.2Parity .................................. -
Two-Proton Radioactivity 2
Two-proton radioactivity Bertram Blank ‡ and Marek P loszajczak † ‡ Centre d’Etudes Nucl´eaires de Bordeaux-Gradignan - Universit´eBordeaux I - CNRS/IN2P3, Chemin du Solarium, B.P. 120, 33175 Gradignan Cedex, France † Grand Acc´el´erateur National d’Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, BP 55027, 14076 Caen Cedex 05, France Abstract. In the first part of this review, experimental results which lead to the discovery of two-proton radioactivity are examined. Beyond two-proton emission from nuclear ground states, we also discuss experimental studies of two-proton emission from excited states populated either by nuclear β decay or by inelastic reactions. In the second part, we review the modern theory of two-proton radioactivity. An outlook to future experimental studies and theoretical developments will conclude this review. PACS numbers: 23.50.+z, 21.10.Tg, 21.60.-n, 24.10.-i Submitted to: Rep. Prog. Phys. Version: 17 December 2013 arXiv:0709.3797v2 [nucl-ex] 23 Apr 2008 Two-proton radioactivity 2 1. Introduction Atomic nuclei are made of two distinct particles, the protons and the neutrons. These nucleons constitute more than 99.95% of the mass of an atom. In order to form a stable atomic nucleus, a subtle equilibrium between the number of protons and neutrons has to be respected. This condition is fulfilled for 259 different combinations of protons and neutrons. These nuclei can be found on Earth. In addition, 26 nuclei form a quasi stable configuration, i.e. they decay with a half-life comparable or longer than the age of the Earth and are therefore still present on Earth. -
14. Structure of Nuclei Particle and Nuclear Physics
14. Structure of Nuclei Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 14. Structure of Nuclei 1 In this section... Magic Numbers The Nuclear Shell Model Excited States Dr. Tina Potter 14. Structure of Nuclei 2 Magic Numbers Magic Numbers = 2; 8; 20; 28; 50; 82; 126... Nuclei with a magic number of Z and/or N are particularly stable, e.g. Binding energy per nucleon is large for magic numbers Doubly magic nuclei are especially stable. Dr. Tina Potter 14. Structure of Nuclei 3 Magic Numbers Other notable behaviour includes Greater abundance of isotopes and isotones for magic numbers e.g. Z = 20 has6 stable isotopes (average=2) Z = 50 has 10 stable isotopes (average=4) Odd A nuclei have small quadrupole moments when magic First excited states for magic nuclei higher than neighbours Large energy release in α, β decay when the daughter nucleus is magic Spontaneous neutron emitters have N = magic + 1 Nuclear radius shows only small change with Z, N at magic numbers. etc... etc... Dr. Tina Potter 14. Structure of Nuclei 4 Magic Numbers Analogy with atomic behaviour as electron shells fill. Atomic case - reminder Electrons move independently in central potential V (r) ∼ 1=r (Coulomb field of nucleus). Shells filled progressively according to Pauli exclusion principle. Chemical properties of an atom defined by valence (unpaired) electrons. Energy levels can be obtained (to first order) by solving Schr¨odinger equation for central potential. 1 E = n = principle quantum number n n2 Shell closure gives noble gas atoms. Are magic nuclei analogous to the noble gas atoms? Dr. -
Production and Properties Towards the Island of Stability
This is an electronic reprint of the original article. This reprint may differ from the original in pagination and typographic detail. Author(s): Leino, Matti Title: Production and properties towards the island of stability Year: 2016 Version: Please cite the original version: Leino, M. (2016). Production and properties towards the island of stability. In D. Rudolph (Ed.), Nobel Symposium NS 160 - Chemistry and Physics of Heavy and Superheavy Elements (Article 01002). EDP Sciences. EPJ Web of Conferences, 131. https://doi.org/10.1051/epjconf/201613101002 All material supplied via JYX is protected by copyright and other intellectual property rights, and duplication or sale of all or part of any of the repository collections is not permitted, except that material may be duplicated by you for your research use or educational purposes in electronic or print form. You must obtain permission for any other use. Electronic or print copies may not be offered, whether for sale or otherwise to anyone who is not an authorised user. EPJ Web of Conferences 131, 01002 (2016) DOI: 10.1051/epjconf/201613101002 Nobel Symposium NS160 – Chemistry and Physics of Heavy and Superheavy Elements Production and properties towards the island of stability Matti Leino Department of Physics, University of Jyväskylä, PO Box 35, 40014 University of Jyväskylä, Finland Abstract. The structure of the nuclei of the heaviest elements is discussed with emphasis on single-particle properties as determined by decay and in- beam spectroscopy. The basic features of production of these nuclei using fusion evaporation reactions will also be discussed. 1. Introduction In this short review, some examples of nuclear structure physics and experimental methods relevant for the study of the heaviest elements will be presented. -
Lecture 3: Nuclear Structure 1 • Why Structure? • the Nuclear Potential • Schematic Shell Model
Lecture 3: Nuclear Structure 1 • Why structure? • The nuclear potential • Schematic shell model Lecture 3: Ohio University PHYS7501, Fall 2017, Z. Meisel ([email protected]) Empirically, several striking trends related to Z,N. e.g. B.A. Brown, Lecture Notes in Nuclear Structure Physics, 2005. M.A. Preston, Physics of the Nucleus (1962) Q B.A. Brown, Lecture Notes in Nuclear Structure Physics, 2005. Adapted from B.A. Brown, C.R. Bronk, & P.E. Hodgson, J. Phys. G (1984) P. Möller et al. ADNDT (2016) Meisel & George, IJMS (2013) A. Cameron, Proc. Astron. Soc. Pac. (1957) First magic number evidence compilation 2 by M. Göppert-Mayer Phys. Rev. 1948 …reminiscent of atomic structure B.A. Brown, Lecture Notes in Nuclear Structure Physics, 2005. hyperphysics hyperphysics 54 3 Shell Structure Atomic Nuclear •Central potential (Coulomb) generated by nucleus •No central object …but each nucleon is interacted on by the other A-1 nucleons and they’re relatively compact together •Electrons are essentially non-interacting •Nucleons interact very strongly …but if nucleons in nucleus were to scatter, Pauli blocking prevents them from scattering into filled orbitals. Scattering into higher-E orbitals is unlikely. i.e. there is no “weak interaction paradox” •Solve the Schrödinger equation for the Coulomb •Can also solve the Schrödinger equation for energy potential and find characteristic (energy levels) shells: levels (shells) …but obviously must be a different shells at 2, 10, 18, 36, 54, 86 potential: shells at 2, 8, 20, 28, 50, 82, 126 …you might be discouraged by points 1 and 2 above, but, remember: If it’s stupid but it works, it isn’t stupid. -
Nuclear Glossary
NUCLEAR GLOSSARY A ABSORBED DOSE The amount of energy deposited in a unit weight of biological tissue. The units of absorbed dose are rad and gray. ALPHA DECAY Type of radioactive decay in which an alpha ( α) particle (two protons and two neutrons) is emitted from the nucleus of an atom. ALPHA (ααα) PARTICLE. Alpha particles consist of two protons and two neutrons bound together into a particle identical to a helium nucleus. They are a highly ionizing form of particle radiation, and have low penetration. Alpha particles are emitted by radioactive nuclei such as uranium or radium in a process known as alpha decay. Owing to their charge and large mass, alpha particles are easily absorbed by materials and can travel only a few centimetres in air. They can be absorbed by tissue paper or the outer layers of human skin (about 40 µm, equivalent to a few cells deep) and so are not generally dangerous to life unless the source is ingested or inhaled. Because of this high mass and strong absorption, however, if alpha radiation does enter the body through inhalation or ingestion, it is the most destructive form of ionizing radiation, and with large enough dosage, can cause all of the symptoms of radiation poisoning. It is estimated that chromosome damage from α particles is 100 times greater than that caused by an equivalent amount of other radiation. ANNUAL LIMIT ON The intake in to the body by inhalation, ingestion or through the skin of a INTAKE (ALI) given radionuclide in a year that would result in a committed dose equal to the relevant dose limit . -
Recent Developments in Radioactive Charged-Particle Emissions
Recent developments in radioactive charged-particle emissions and related phenomena Chong Qi, Roberto Liotta, Ramon Wyss Department of Physics, Royal Institute of Technology (KTH), SE-10691 Stockholm, Sweden October 19, 2018 Abstract The advent and intensive use of new detector technologies as well as radioactive ion beam facilities have opened up possibilities to investigate alpha, proton and cluster decays of highly unstable nuclei. This article provides a review of the current status of our understanding of clustering and the corresponding radioactive particle decay process in atomic nuclei. We put alpha decay in the context of charged-particle emissions which also include one- and two-proton emissions as well as heavy cluster decay. The experimental as well as the theoretical advances achieved recently in these fields are presented. Emphasis is given to the recent discoveries of charged-particle decays from proton-rich nuclei around the proton drip line. Those decay measurements have shown to provide an important probe for studying the structure of the nuclei involved. Developments on the theoretical side in nuclear many-body theories and supercomputing facilities have also made substantial progress, enabling one to study the nuclear clusterization and decays within a microscopic and consistent framework. We report on properties induced by the nuclear interaction acting in the nuclear medium, like the pairing interaction, which have been uncovered by studying the microscopic structure of clusters. The competition between cluster formations as compared to the corresponding alpha-particle formation are included. In the review we also describe the search for super-heavy nuclei connected by chains of alpha and other radioactive particle decays. -
Range of Usefulness of Bethe's Semiempirical Nuclear Mass Formula
RANGE OF ..USEFULNESS OF BETHE' S SEMIEMPIRIC~L NUCLEAR MASS FORMULA by SEKYU OBH A THESIS submitted to OREGON STATE COLLEGE in partial fulfillment or the requirements tor the degree of MASTER OF SCIENCE June 1956 TTPBOTTDI Redacted for Privacy lrrt rtllrt ?rsfirror of finrrtor Ia Ohrr;r ef lrJer Redacted for Privacy Redacted for Privacy 0hrtrurn of tohoot Om0qat OEt ttm Redacted for Privacy Dru of 0rrdnrtr Sohdbl Drta thrrlr tr prrrEtrl %.ifh , 1,,r, ," r*(,-. ttpo{ by Brtty Drvlr ACKNOWLEDGMENT The author wishes to express his sincere appreciation to Dr. G. L. Trigg for his assistance and encouragement, without which this study would not have been concluded. The author also wishes to thank Dr. E. A. Yunker for making facilities available for these calculations• • TABLE OF CONTENTS Page INTRODUCTION 1 NUCLEAR BINDING ENERGIES AND 5 SEMIEMPIRICAL MASS FORMULA RESEARCH PROCEDURE 11 RESULTS 17 CONCLUSION 21 DATA 29 f BIBLIOGRAPHY 37 RANGE OF USEFULNESS OF BETHE'S SEMIEMPIRICAL NUCLEAR MASS FORMULA INTRODUCTION The complicated experimental results on atomic nuclei haYe been defying definite interpretation of the structure of atomic nuclei for a long tfme. Even though Yarious theoretical methods have been suggested, based upon the particular aspects of experimental results, it has been impossible to find a successful theory which suffices to explain the whole observed properties of atomic nuclei. In 1936, Bohr (J, P• 344) proposed the liquid drop model of atomic nuclei to explain the resonance capture process or nuclear reactions. The experimental evidences which support the liquid drop model are as follows: 1. Substantially constant density of nuclei with radius R - R Al/3 - 0 (1) where A is the mass number of the nucleus and R is the constant of proportionality 0 with the value of (1.5! 0.1) x 10-lJcm~ 2. -
Radioactive Decay & Decay Modes
CHAPTER 1 Radioactive Decay & Decay Modes Decay Series The terms ‘radioactive transmutation” and radioactive decay” are synonymous. Many radionuclides were found after the discovery of radioactivity in 1896. Their atomic mass and mass numbers were determined later, after the concept of isotopes had been established. The great variety of radionuclides present in thorium are listed in Table 1. Whereas thorium has only one isotope with a very long half-life (Th-232, uranium has two (U-238 and U-235), giving rise to one decay series for Th and two for U. To distin- guish the two decay series of U, they were named after long lived members: the uranium-radium series and the actinium series. The uranium-radium series includes the most important radium isotope (Ra-226) and the actinium series the most important actinium isotope (Ac-227). In all decay series, only α and β− decay are observed. With emission of an α particle (He- 4) the mass number decreases by 4 units, and the atomic number by 2 units (A’ = A - 4; Z’ = Z - 2). With emission β− particle the mass number does not change, but the atomic number increases by 1 unit (A’ = A; Z’ = Z + 1). By application of the displacement laws it can easily be deduced that all members of a certain decay series may differ from each other in their mass numbers only by multiples of 4 units. The mass number of Th-232 is 323, which can be written 4n (n=58). By variation of n, all possible mass numbers of the members of decay Engineering Aspects of Food Irradiation 1 Radioactive Decay series of Th-232 (thorium family) are obtained. -
Nuclear Physics
Massachusetts Institute of Technology 22.02 INTRODUCTION to APPLIED NUCLEAR PHYSICS Spring 2012 Prof. Paola Cappellaro Nuclear Science and Engineering Department [This page intentionally blank.] 2 Contents 1 Introduction to Nuclear Physics 5 1.1 Basic Concepts ..................................................... 5 1.1.1 Terminology .................................................. 5 1.1.2 Units, dimensions and physical constants .................................. 6 1.1.3 Nuclear Radius ................................................ 6 1.2 Binding energy and Semi-empirical mass formula .................................. 6 1.2.1 Binding energy ................................................. 6 1.2.2 Semi-empirical mass formula ......................................... 7 1.2.3 Line of Stability in the Chart of nuclides ................................... 9 1.3 Radioactive decay ................................................... 11 1.3.1 Alpha decay ................................................... 11 1.3.2 Beta decay ................................................... 13 1.3.3 Gamma decay ................................................. 15 1.3.4 Spontaneous fission ............................................... 15 1.3.5 Branching Ratios ................................................ 15 2 Introduction to Quantum Mechanics 17 2.1 Laws of Quantum Mechanics ............................................. 17 2.2 States, observables and eigenvalues ......................................... 18 2.2.1 Properties of eigenfunctions .........................................