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2 edition of Calculations of total muon capture rates in nuclei. found in the catalog.

Calculations of total muon capture rates in nuclei.

Jan Reindert Luyten

# Calculations of total muon capture rates in nuclei.

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Published by Drukkerij V.R.B. [Kleine der A 4] in Groningen .
Written in English

Subjects:
• Muons -- Capture.

• Classifications
LC ClassificationsQC721 .L985
The Physical Object
Pagination144 p.
Number of Pages144
ID Numbers
Open LibraryOL5718715M
LC Control Number70384173

@article{osti_, title = {Muon transfer from muonic hydrogen to carbon}, author = {Dupays, Arnaud}, abstractNote = {Exact three-dimensional quantum calculations of muon exchange between muonic hydrogen and carbon for collision energies in the range 10{sup -3} eV, are presented. Muon transfer rates at thermal and epithermal energies are calculated including partial waves up to J=7. But different ranges with different names are observed in other sources. The following is a detailed classification: Thermal. A thermal neutron is a free neutron with a kinetic energy of about eV (about ×10 −21 J or MJ/kg, hence a speed of km/s), which is the most probable energy at a temperature of K (17 °C or 62 °F), the mode of the Maxwell–Boltzmann distribution.

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### Calculations of total muon capture rates in nuclei. by Jan Reindert Luyten Download PDF EPUB FB2

Points for calculation of muon capture rates in nuclei are given and the values of the muon coupling constants following from those for beta decay and the UFI hypothesis are calculated. In Ch. II the muon capture rates are calculated for the doubly-closed shell nuclei. and 40Ca; for such nuclei one may expect that the results are less Author: Jan Reindert Luyten.

Vrije Universiteit. Amsterdam The Netherlands Received 20 March Abstract: The semi-empirical method of Foldy and Walecka to calculate total muon capture rates for double magic nuclei turns out to be generally applicable for nuclei with isospin quantum numbers (T,Tz) = (T,-T).

AI-Lc(6Li) and A1-W(7Li) are calculated with this by: 5. Abstract Total Ordinary Muon Capture (OMC) rates are calculated on the basis of the Quasiparticle Random Phase Approximation for several spherical nuclei from 90 Zr to Pb.

The approach to total muon capture rates by means of sum rule techniques is applied systematically to 1p shell nuclei. Explicit calculations involve ground-state wave functions extracted from Cohen-Kurath effective by: 9. In the case of the D nuclei (just as for muon capture in hydrogen 8y 9)) there are complications due to mesomolecular processes.

Thus, data on capture in He3 are of great interest. The present investigation is aimed to measure the total rate of muon capture in He3, i.

e., the overall rate of the processes: W- + He3 - H3 +v, p-+He3 - d+n+v p-+He3 - p+2n+ by:   Summary. Theoretical calculations of the total capture rate for muons in certain light nuclei (40 Ca, 16 O, 12 C, 4 He) have been carried out with cognizance taken of the important role played by giant dipole resonances in the capture process.

The calculation involves the following steps: 1) Relating the dipole contribution Cited by: Total Ordinary Muon Capture (OMC) rates are calculated on the basis of the Quasiparticle Random Phase Approximation for several spherical nuclei from 90^Zr to ^Pb.

The total capture rate to all final nuclear states is obtained by an additional summation A~ Calculations of total muon capture rates in nuclei. book Z A., (a -~ b). () b MUON CAPTURE BY COMPLEX NUCLEI I It should be noted that the matrix elements () still contain "forbidden" con- tributions (applying the ordinary terminology of beta-radioactivity), because the neutrino and muon wave functions still occur under the integral by: The muon capture rates are calculated for a series of nuclei, using the Hartree-Fock randomphase approximation, and compared with experiment.

The recoil term, the binding energy of the muon and. Theoretical calculations of mu capture rates in 2s-1d nuclei are compared with experiment in the hope of elucidating the coupling constants of the interaction.

Working from Primakoff's closure-approximation expression for the total average capture rate, the nuclear matrix element is treated in the context of the Nilsson unified model. (Submitted on 20 Apr ) Abstract: Total Ordinary Muon Capture (OMC) rates are calculated on the basis of the Quasiparticle Random Phase Approximation for several spherical nuclei from 90^Zr to ^ by: 3.

The results of the calculations of the total muon capture rates in heavy nuclei taking into account the hyperfine effects and nucleon-velocity terms in the muon capture Hamiltonian are presented along with the experimental data to test the Salam–Strathdee idea of vanishing of the Cabibbo angle at large electromagnetic : R.

Parthasarathy, V. Sridhar. In addition, a compdatlon of all measurements of muon capture rates m complex nucle~ as presently known is given, and several analytical fits to these rates are discussed. Introduction During the past several years, a number of research groups i-4) has engaged in experimental programs to measure negative muon capture rates in complex by: Summary.

A study of the total muon-capture rate in nuclei is presented, with the aid of the impulse and closure approximations and under the assumption that the initial nucleus can be described by a mixing of states in theory is applied to the process of muon capture in 11 B, with a discussion on the value of the average neutrino by: 1.

The approach to total muon capture rates by means of sum rule techniques is applied systematically to 1p shell nuclei. Explicit calculations involve ground-state wave functions extracted from Cohen-Kurath effective interactions. For the double commutator expectation value we use a form of the potential consistent with the effective interaction and the giant dipole resonance energy.

Abstract. Results of shell model calculations on total muon capture rates are presented for a number of nuclei.

Previous calculations on 16 O and 40 Ca are extended. It is studied in particular in which way the total capture rates depend on the depth of the finite potential well used for calculating the shell model wave by: We propose muon capture as an experimental tool to explore such changes.

We will quantify our discussion by the calculation of the total and differential muon capture rates on selected calcium isotopes between 40 Ca and 60 Ca.

Our calculations are based on the random phase approximation and agree nicely with the measured rates for 40 Ca and 44 by: 5. Title: Muon capture in nuclei: an ab initio approach based on quantum Monte Carlo methods Authors: A. Lovato, N. Rocco, R. Schiavilla (Submitted on 19 Mar )Cited by: 3.

Abstract Various nuclear models and methods of calculation for total muon capture rates by complex nuclei are compared. The statistical model is worked out with improved accuracy for N = Z nuclei. Calculations with a simple shell model are made with and without the use of the closure approximation for wave functions calculated with the.

The relativistic proton-neutron quasiparticle random phase approximation (pn-RQRPA) is applied in the calculation of total muon capture rates on a large set of nuclei from 12C to Pu, for which. Individual contribution of polar-vector, axial-vector, and overlap parts into the total muon-capture rate.

The total muon capture rates, obtained by using the pn-QRPA with the quenched value of for the medium-weight nucleus 66 Zn, are compared with the available experimental data and with the theoretical rates of [23, 24].Cited by: 9. yFor heavy nuclei, to correctly calculate the total capture rate, we need to include a correction factor for the binding energy of the μ-to the decay in orbit rate yThis is done with a “Huff factor” Q which suppresses the DIO contribution yThe Huff factor for AL is only but File Size: 2MB.

Title: Muon capture on nuclei: random phase approximation evaluation versus data for 6 $\le$ Z $\le$ 94 nuclei Authors: Nikolaj Thomas Zinner, Karlheinz Langanke, Petr Vogel (Submitted on 1 Jun (v1), last revised 8 Aug (this version, v2))Cited by:   Total and partial muon capture rates are calculated within the frameworks of the nuclear 1p-shell model and impulse approximation.A systematic study is achieved with the available effective interactions forA=6÷14 nuclei.A strong model dependence is exhibited particularly for the partial rates of nuclei in the middle of the : P.

Desgrolard, P. Guichon, J. Joseph. Total Ordinary Muon Capture (OMC) rates are calculated on the basis of the Quasiparticle Random Phase Approximation for several spherical nuclei from 90^Zr to ^Pb. It is shown that total OMC rates calculated with the free value of the axial-vector coupling constant g_A agree well with the experimental data for medium-size nuclei and exceed.

The Weak Structure of the Nucleon from Muon Capture on 3He Doron Gazit Institute for Nuclear Theory University of Washington * * * * * * * * * * The decay of a muonic 3He: competition The rates become comparable for Z~ The Z4 law has deviations – mainly due to nuclear effects.

the third section, the calculations of total muon capture rates by complex nuclei are discussed. The fourth section contains the analysis of spin-isospin transitions in A= 28 nuclei observed in muon capture, and in (e,e′) and (p,n) reactions. The main results are collected in Conclusion.

The authors study muon capture rates in light nuclei and show that one can evaluate them in a model-independent way by correcting the Primakoff closure approximation to the first order in the neutrino energy dependence. In this framework the interplay between the existence of allowed transitions and SU(4) breaking is : J Bernabeu and F Cannata.

The photon spectra and total radiative muon capture rate on heavy nuclei have been calculated for the first time using a microscopic description of the nuclear excitation function. The quasiparticle random phase approximation has been used to calculate the excitation spectra and transition amplitudes of ordinary and radiative muon capture in Abstract We study muon capture rates in light nuclei and show that one can evaluate them in a model-independent way by correcting the Primakoff closure approximation to the first order in the neutrino energy dependence.

In this framework the interplay between the existence of allowed transitions and SU(4) breaking is analyzed. The authors study muon capture rates in light nuclei and show that one can evaluate them in a model-independent way by correcting the Primakoff closure approximation to the first order in the neutrino energy dependence.

In this framework the interplay between the existence of allowed transitions and SU(4) breaking is by: Muon capture by heavy nuclei often leads to emission of particles; most often neutrons, but charged particles can be emitted as well.

Ordinary muon capture (OMC) involves capture of a negative muon from the atomic orbital without emission of a gamma photon: μ − + p + → ν μ + n 0. Abstract: In a typical experiment the nuclear \mu-capture rate is determined from measurements of the time constant of the muon decay exponential in a target.

We propose a new approach for the evaluation of the \mu-capture rate, which is based on direct measurements of the \mu^- disappearance rate in the : S. Gninenko. statistical decay models that have been used in the calculations.

Muon cap-ture on nuclei is described in chapter three, including novel correction terms for relativistic eﬀects that can inﬂuence the capture rate in heavy nuclei.

Chapter four discusses the inclusion of neutrino and antineutrino reactionsFile Size: 5MB. Abstract. Muon-electron conversion in nuclei is considered in the framework of the Dualized Standard Model.

The ratio Bµ−e of the conversion rate to the total muon capture rate is derived, and computed for several nuclei in a parameter-free calculation using parameters previously determined in different physical contexts. Abstract. An ab initio Green’s function Monte Carlo (GFMC) method is introduced for calculating total rates of muon weak capture in light nuclei with mass number A≤ As a first application of the method, we perform a calculation of the rate in 3 H and 4 He in a dynamical framework based on realistic two- and three-nucleon interactions and realistic nuclear charge-changing weak currents.

Abstract. The gross theory of beta decay proposed by Takahashi and Yamada is applied to calculate the total capture rate of nuclear muon capture.

A simple model of structureless'' nuclei is adopted and the capture rates for various isotopes are by: 2. Muon-electron conversion in nuclei is considered in the framework of the dualized standard model.

The ratio B μ-e of the conversion rate to the total muon capture rate is derived and computed for several nuclei in a parameter-free calculation using parameters previously determined in other physical contexts.

The values obtained all lie within the present experimental bounds, but some Cited by: 1. This work investigates the muon capture reactions 2 H(μ −, ν μ)nn and 3 He(μ −, ν μ) 3 H and the contribution to their total capture rates arising from the axial two-body currents obtained imposing the partially-conserved-axial-current (PCAC) hypothesis.

The initial and final A = 2 and 3 nuclear wave functions are obtained from the Argonne v 18 two-nucleon potential, in combination Cited by: 6. The muon (/ ˈ m juː ɒ n /; from the Greek letter mu (μ) used to represent it) is an elementary particle similar to the electron, with an electric charge of −1 e and a spin of 1 / 2, but with a much greater is classified as a with other leptons, the muon is not known to have any sub-structure – that is, it is not thought to be composed of any simpler ition: Elementary particle.

The muon capture rate in liquid hydrogen was measured by scintillation counter techniques. The experiment tests muon-electron universality in interaction with a .The muonic hyperfine transition rates were measured in LiF, (CF2)n, Na, NaH, Al, LiAlH4, and for the first time in K and P.

These measurements were performed by detecting neutrons via liquid scintillators. No chemical effect was observed when comparing the transition rates in LiF and (CF2)n, Na and NaH, Al and LiAlFL4.

In the case of P and K the newly measured hyperfine transition rates are.Places requirements on the beam structure Strong Dependence of first readout window @ ¿ For heavy nuclei, to correctly calculate the total capture rate, we need to include a correction factor for the binding energy of the ¹- to the decay in orbit rate This is done with a “Huff factor” Q which suppresses the DIO contribution The Huff.