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												  Computing ATOMIC NUCLEIUNIVERSAL NUCLEAR ENERGY DENSITY FUNCTIONAL Computing ATOMIC NUCLEI Petascale computing helps disentangle the nuclear puzzle. The goal of the Universal Nuclear Energy Density Functional (UNEDF) collaboration is to provide a comprehensive description of all nuclei and their reactions based on the most accurate knowledge of the nuclear interaction, the most reliable theoretical approaches, and the massive use of computer power. Science of Nuclei the Hamiltonian matrix. Coupled cluster (CC) Nuclei comprise 99.9% of all baryonic matter in techniques, which were formulated by nuclear sci- the Universe and are the fuel that burns in stars. entists in the 1950s, are essential techniques in The rather complex nature of the nuclear forces chemistry today and have recently been resurgent among protons and neutrons generates a broad in nuclear structure. Quantum Monte Carlo tech- range and diversity in the nuclear phenomena that niques dominate studies of phase transitions in can be observed. As shown during the last decade, spin systems and nuclei. These methods are used developing a comprehensive description of all to understand both the nuclear and electronic nuclei and their reactions requires theoretical and equations of state in condensed systems, and they experimental investigations of rare isotopes with are used to investigate the excitation spectra in unusual neutron-to-proton ratios. These nuclei nuclei, atoms, and molecules. are labeled exotic, or rare, because they are not When applied to systems with many active par- typically found on Earth. They are difficult to pro- ticles, ab initio and configuration interaction duce experimentally because they usually have methods present computational challenges as the extremely short lifetimes.
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												  Beta Decay IntroductionBeta decay Introduction Beta decay is the decay mechanism that affects the largest number of nuclei. In standard beta decay, or more specifically, beta-minus decay, a nucleus converts a neutron into a proton. The number of neutrons N decreases by one unit, and the number of protons Z increases by one. So the neutron excess decreases by two. Beta decay moves nuclei with too many neutrons closer to the stable range. Unlike the neutron, the proton has a positive charge, so by itself, converting a neutron into a proton would create charge out of nothing. However, that is not possible as net charge is preserved in nature. In beta decay, the nucleus also emits a negatively charged electron, making the net charge that is cre- ated zero as it should. But there is another problem with that. Now a neutron with spin 1/2 is converted into a proton and an electron, each with spin 1/2. That violates angular momentum conservation. (Regardless of any orbital angular momentum, the net angular momentum would change from half-integer to integer.) In beta de- cay, the nucleus also emits a second particle of spin 1/2, thus keeping the net angular momentum half- integer. Fermi called that second particle the neutrino, since it was electrically neutral and so small that it was initially impossible to observe. In fact, even at the time of writing, almost a century later, the mass of the neutrino, though known to be nonzero, is too small to measure. Nowadays the neutrino emitted in beta decay is more accurately identified as the electron antineutrino.
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												  Models of the Atomic NucleusModels of the Atomic Nucleus Second Edition Norman D. Cook Models of the Atomic Nucleus Unification Through a Lattice of Nucleons Second Edition 123 Prof. Norman D. Cook Kansai University Dept. Informatics 569 Takatsuki, Osaka Japan [email protected] Additional material to this book can be downloaded from http://extras.springer.com. ISBN 978-3-642-14736-4 e-ISBN 978-3-642-14737-1 DOI 10.1007/978-3-642-14737-1 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010936431 © Springer-Verlag Berlin Heidelberg 2006, 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: WMXDesign GmbH, Heidelberg Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) Preface to the Second Edition Already by the 1970s, some theorists had declared that nuclear structure physics was a “closed chapter” in science, but since then it has repeatedly been found necessary to re-open this closed chapter to address old problems and to explain new phenom- ena.
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												  1 PROF. CHHANDA SAMANTA, Phd PAPERS in PEER REVIEWED INTERNATIONAL JOURNALS: 1. C. Samanta, T. A. Schmitt, “Binding, Bonding APROF. CHHANDA SAMANTA, PhD PAPERS IN PEER REVIEWED INTERNATIONAL JOURNALS: 1. C. Samanta, T. A. Schmitt, “Binding, bonding and charge symmetry breaking in Λ- hypernuclei”, arXiv:1710.08036v2 [nucl-th] (to be published) 2. T. A. Schmitt, C. Samanta, “A-dependence of -bond and charge symmetry energies”, EPJ Web Conf. 182, 03012 (2018) 3. Chhanda Samanta, Superheavy Nuclei to Hypernuclei: A Tribute to Walter Greiner, EPJ Web Conf. 182, 02107 (2018) 4. C. Samanta with X Qiu, L Tang, C Chen, et al., “Direct measurements of the lifetime of medium-heavy hypernuclei”, Nucl. Phys. A973, 116 (2018); arXiv:1212.1133 [nucl-ex] 5. C. Samanta with with S. Mukhopadhyay, D. Atta, K. Imam, D. N. Basu, “Static and rotating hadronic stars mixed with self-interacting fermionic Asymmetric Dark Matter”, The European Physical Journal C.77:440 (2017); arXiv:1612.07093v1 6. C. Samanta with R. Honda, M. Agnello, J. K. Ahn et al, “Missing-mass spectroscopy with 6 − + 6 the Li(π ,K )X reaction to search for ΛH”, Phys. Rev. C 96, 014005 (2017); arXiv:1703.00623v2 [nucl-ex] 7. C. Samanta with T. Gogami, C. Chen, D. Kawama et al., “Spectroscopy of the neutron-rich 7 hypernucleus He from electron scattering”, Phys. Rev. C94, 021302(R) (2016); arXiv:1606.09157 8. C. Samanta with T. Gogami, C. Chen, D. Kawama,et al., ”High Resolution Spectroscopic 10 Study of ΛBe”, Phys. Rev. C93, 034314(2016); arXiv:1511.04801v1[nucl-ex] 9. C. Samanta with L. Tang, C. Chen, T. Gogami et al., “The experiments with the High 12 Resolution Kaon Spectrometer at JLab Hall C and the new spectroscopy of ΛB hypernuclei, Phys.
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												  Current Status of Equation of State in Nuclear Matter and Neutron StarsOpen Issues in Understanding Core Collapse Supernovae June 22-24, 2004 Current Status of Equation of State in Nuclear Matter and Neutron Stars J.R.Stone1,2, J.C. Miller1,3 and W.G.Newton1 1 Oxford University, Oxford, UK 2Physics Division, ORNL, Oak Ridge, TN 3 SISSA, Trieste, Italy Outline 1. General properties of EOS in nuclear matter 2. Classification according to models of N-N interaction 3. Examples of EOS – sensitivity to the choice of N-N interaction 4. Consequences for supernova simulations 5. Constraints on EOS 6. High density nuclear matter (HDNM) 7. New developments Equation of State is derived from a known dependence of energy per particle of a system on particle number density: EA/(==En) or F/AF(n) I. E ( or Boltzman free energy F = E-TS for system at finite temperature) is constructed in a form of effective energy functional (Hamiltonian, Lagrangian, DFT/EFT functional or an empirical form) II. An equilibrium state of matter is found at each density n by minimization of E (n) or F (n) III. All other related quantities like e.g. pressure P, incompressibility K or entropy s are calculated as derivatives of E or F at equilibrium: 2 ∂E ()n ∂F ()n Pn()= n sn()=− | ∂n ∂T nY, p ∂∂P()nnEE() ∂2 ()n Kn()==9 18n +9n2 ∂∂nn∂n2 IV. Use as input for model simulations (Very) schematic sequence of equilibrium phases of nuclear matter as a function of density: <~2x10-4fm-3 ~2x10-4 fm-3 ~0.06 fm-3 Nuclei in Nuclei in Neutron electron gas + ‘Pasta phase’ Electron gas ~0.1 fm-3 0.3-0.5 fm-3 >0.5 fm-3 Nucleons + n,p,e,µ heavy baryons Quarks ???
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												![Arxiv:1901.01410V3 [Astro-Ph.HE] 1 Feb 2021 Mental Information Is Available, and One Has to Rely Strongly on Theoretical Predictions for Nuclear Properties](https://docslib.b-cdn.net/cover/8159/arxiv-1901-01410v3-astro-ph-he-1-feb-2021-mental-information-is-available-and-one-has-to-rely-strongly-on-theoretical-predictions-for-nuclear-properties-508159.webp)  Arxiv:1901.01410V3 [Astro-Ph.HE] 1 Feb 2021 Mental Information Is Available, and One Has to Rely Strongly on Theoretical Predictions for Nuclear PropertiesOrigin of the heaviest elements: The rapid neutron-capture process John J. Cowan∗ HLD Department of Physics and Astronomy, University of Oklahoma, 440 W. Brooks St., Norman, OK 73019, USA Christopher Snedeny Department of Astronomy, University of Texas, 2515 Speedway, Austin, TX 78712-1205, USA James E. Lawlerz Physics Department, University of Wisconsin-Madison, 1150 University Avenue, Madison, WI 53706-1390, USA Ani Aprahamianx and Michael Wiescher{ Department of Physics and Joint Institute for Nuclear Astrophysics, University of Notre Dame, 225 Nieuwland Science Hall, Notre Dame, IN 46556, USA Karlheinz Langanke∗∗ GSI Helmholtzzentrum f¨urSchwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany and Institut f¨urKernphysik (Theoriezentrum), Fachbereich Physik, Technische Universit¨atDarmstadt, Schlossgartenstraße 2, 64298 Darmstadt, Germany Gabriel Mart´ınez-Pinedoyy GSI Helmholtzzentrum f¨urSchwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany; Institut f¨urKernphysik (Theoriezentrum), Fachbereich Physik, Technische Universit¨atDarmstadt, Schlossgartenstraße 2, 64298 Darmstadt, Germany; and Helmholtz Forschungsakademie Hessen f¨urFAIR, GSI Helmholtzzentrum f¨urSchwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany Friedrich-Karl Thielemannzz Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland and GSI Helmholtzzentrum f¨urSchwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany (Dated: February 2, 2021) The production of about half of the heavy elements found in nature is assigned to a spe- cific astrophysical nucleosynthesis process: the rapid neutron capture process (r-process). Although this idea has been postulated more than six decades ago, the full understand- ing faces two types of uncertainties/open questions: (a) The nucleosynthesis path in the nuclear chart runs close to the neutron-drip line, where presently only limited experi- arXiv:1901.01410v3 [astro-ph.HE] 1 Feb 2021 mental information is available, and one has to rely strongly on theoretical predictions for nuclear properties.
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												  Evolution of Intrinsic Nuclear Structure in Medium Mass Even-Even Xenon Isotopes from a Microscopic Perspective*Chinese Physics C Vol. 44, No. 7 (2020) 074108 Evolution of intrinsic nuclear structure in medium mass even-even Xenon isotopes from a microscopic perspective* Surbhi Gupta1 Ridham Bakshi1 Suram Singh2 Arun Bharti1;1) G. H. Bhat3 J. A. Sheikh4 1Department of Physics, University of Jammu, Jammu- 180006, India 2Department of Physics and Astronomical Sciences, Central University of Jammu, Samba- 181143, India 3Department of Physics, SP College, Cluster University Srinagar- 190001, India 4Cluster University Srinagar - Jammu and Kashmir 190001, India Abstract: In this study, the multi-quasiparticle triaxial projected shell model (TPSM) is applied to investigate γ-vi- brational bands in transitional nuclei of 118−128Xe. We report that each triaxial intrinsic state has a γ-band built on it. The TPSM approach is evaluated by the comparison of TPSM results with available experimental data, which shows a satisfactory agreement. The energy ratios, B(E2) transition rates, and signature splitting of the γ-vibrational band are calculated. Keywords: triaxial projected shell model, triaxiality, yrast spectra, band diagram, back-bending, staggering, reduced transition probabilities DOI: 10.1088/1674-1137/44/7/074108 1 Introduction In the past few decades, the use of improved and sophisticated experimental techniques has made it pos- sible to provide sufficient data to describe the structure of The static and dynamic properties of a nucleus pre- nuclei in various mass regions of the nuclear chart. In dominantly dictate its shape or structure, and these prop- particular, the transitional nuclei around mass A ∼ 130 erties depend on the interactions among its constituents, have numerous interesting features, such as odd-even i.e, protons and neutrons.
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												  Structure of Exotic Nuclei: a Theoretical ReviewStructure of Exotic Nuclei: A Theoretical Review Shan-Gui Zhou∗ CAS Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha, 410081, China E-mail: [email protected] The study of exotic nuclei—nuclei with the ratio of neutron number N to proton number Z de- viating much from that of those found in nature—is at the forefront of nuclear physics research because it can not only reveal novel nuclear properties and thus enrich our knowledge of atomic nuclei, but also help us to understand the origin of chemical elements in the nucleosynthesis. With the development of radioactive ion beam facilities around the world, more and more unstable nu- clei become experimentally accessible. Many exotic nuclear phenomena have been observed or predicted in nuclei far from the β-stability line, such as neutron or proton halos, the shell evo- lution and changes of nuclear magic numbers, the island of inversion, soft-dipole excitations, clustering effects, new radioactivities, giant neutron halos, the shape decoupling between core and valence nucleons in deformed halo nuclei, etc. In this contribution, I will present a review of theoretical study of exotic nuclear structure. I will first introduce characteristic features and new physics connected with exotic nuclear phenomena: the weakly-bound feature, the large-spatial extension in halo nuclei, deformation effects in halo nuclei, the shell evolution, new radioactiv- ities and clustering effects.
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												  Neutrino Mysteries OLLI UC Irvine April 7, 2014Neutrino Mysteries OLLI UC Irvine April 7, 2014 Dennis Silverman Department of Physics and Astronomy UC Irvine Neutrinos Around the Universe • Neutrinos • The Standard Model • The Weak Interactions Neutrino Oscillations • Solar Neutrinos • Atmospheric Neutrinos • Neutrino Masses • Neutrino vs. Antineutrino • Supernova Neutrinos Introduction to the Standard Model www.particleadventure.org Over 100 Years of Subatomic Physics Atoms to Electrons and Nuclei to Protons and Neutrons and to Quarks The size of a proton is about 10⁻¹³ cm, called a fermi. Protons have two up quarks and one down quark. Neutrons have one up quark and two down quarks. The Standard Model of Quarks and Leptons Electromagnetic, Weak, and Strong Color Interactions Q = +2/3 e Q = -1/3 e Q = 0 Q = - e The Spin of Particles, Charges, and Anti-particles • The quarks and leptons all have an intrinsic spin of ½ in units of hbar = h/2휋 =ħ, a very small number. These are called fermions after Enrico Fermi. They have anti-particles with opposite charges. • The up quarks have charge +2/3 of that of the electron’s magnitude, and the bottom quarks have charge -1/3. • The force particles have spin 1 times ħ, and are called bosons after S. N. Bose. • The force particles are their own antiparticles like Z⁰ and the photon, or in opposite pairs, like W⁺ and W⁻, and the colored gluons. Masses of Elementary Particles 125 GeV → The Proton and Neutron are about 1 GeV → A GeV is a giga electron volts in energy, or a billion electron volts Diagram from Gordon Kane, Scientific American 2003 The Weak Interactions The Beta (electron) Decay of a neutron is really that of a down quark to an up quark with a virtual W⁻ creating an electron and an electron anti-neutrino.
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												  Phase Transitions and the Casimir Effect in Neutron StarsUniversity of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Masters Theses Graduate School 12-2017 Phase Transitions and the Casimir Effect in Neutron Stars William Patrick Moffitt University of Tennessee, Knoxville, [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_gradthes Part of the Other Physics Commons Recommended Citation Moffitt, William Patrick, "Phase Transitions and the Casimir Effect in Neutron Stars. " Master's Thesis, University of Tennessee, 2017. https://trace.tennessee.edu/utk_gradthes/4956 This Thesis is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Masters Theses by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a thesis written by William Patrick Moffitt entitled "Phaser T ansitions and the Casimir Effect in Neutron Stars." I have examined the final electronic copy of this thesis for form and content and recommend that it be accepted in partial fulfillment of the requirements for the degree of Master of Science, with a major in Physics. Andrew W. Steiner, Major Professor We have read this thesis and recommend its acceptance: Marianne Breinig, Steve Johnston Accepted for the Council: Dixie L. Thompson Vice Provost and Dean of the Graduate School (Original signatures are on file with official studentecor r ds.) Phase Transitions and the Casimir Effect in Neutron Stars A Thesis Presented for the Master of Science Degree The University of Tennessee, Knoxville William Patrick Moffitt December 2017 Abstract What lies at the core of a neutron star is still a highly debated topic, with both the composition and the physical interactions in question.
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												  Appendix: Key Concepts and Vocabulary for Nuclear EnergyAppendix: Key Concepts and Vocabulary for Nuclear Energy The likelihood of fission depends on, among other Power Plant things, the energy of the incoming neutron. Some In most power plants around the world, heat, usually nuclei can undergo fission even when hit by a low- produced in the form of steam, is converted to energy neutron. Such elements are called fissile. electricity. The heat could come through the burning The most important fissile nuclides are the uranium of coal or natural gas, in the case of fossil-fueled isotopes, uranium-235 and uranium-233, and the power plants, or the fission of uranium or plutonium plutonium isotope, plutonium-239. Isotopes are nuclei. The rate of electrical power production in variants of the same chemical element that have these power plants is usually measured in megawatts the same number of protons and electrons, but or millions of watts, and a typical large coal or nuclear differ in the number of neutrons. Of these, only power plant today produces electricity at a rate of uranium-235 is found in nature, and it is found about 1,000 megawatts. A much smaller physical only in very low concentrations. Uranium in nature unit, the kilowatt, is a thousand watts, and large contains 0.7 percent uranium-235 and 99.3 percent household appliances use electricity at a rate of a few uranium-238. This more abundant variety is an kilowatts when they are running. The reader will have important example of a nucleus that can be split only heard about the “kilowatt-hour,” which is the amount by a high-energy neutron.
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												  Quest for Superheavy Nuclei Began in the 1940S with the Syn Time It Takes for Half of the Sample to DecayFEATURES Quest for superheavy nuclei 2 P.H. Heenen l and W Nazarewicz -4 IService de Physique Nucleaire Theorique, U.L.B.-C.P.229, B-1050 Brussels, Belgium 2Department ofPhysics, University ofTennessee, Knoxville, Tennessee 37996 3Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 4Institute ofTheoretical Physics, University ofWarsaw, ul. Ho\.za 69, PL-OO-681 Warsaw, Poland he discovery of new superheavy nuclei has brought much The superheavy elements mark the limit of nuclear mass and T excitement to the atomic and nuclear physics communities. charge; they inhabit the upper right corner of the nuclear land Hopes of finding regions of long-lived superheavy nuclei, pre scape, but the borderlines of their territory are unknown. The dicted in the early 1960s, have reemerged. Why is this search so stability ofthe superheavy elements has been a longstanding fun important and what newknowledge can it bring? damental question in nuclear science. How can they survive the Not every combination ofneutrons and protons makes a sta huge electrostatic repulsion? What are their properties? How ble nucleus. Our Earth is home to 81 stable elements, including large is the region of superheavy elements? We do not know yet slightly fewer than 300 stable nuclei. Other nuclei found in all the answers to these questions. This short article presents the nature, although bound to the emission ofprotons and neutrons, current status ofresearch in this field. are radioactive. That is, they eventually capture or emit electrons and positrons, alpha particles, or undergo spontaneous fission. Historical Background Each unstable isotope is characterized by its half-life (T1/2) - the The quest for superheavy nuclei began in the 1940s with the syn time it takes for half of the sample to decay.