The level scheme of 137Pr; evidence for prolate nuclear shape

The level scheme of ¹³⁷Pr was investigated by means of the γ-rays following the β-decay of ¹³⁷Nd as well as by prompt γ-rays accompanying (α, xn) reactions. We measured γ-ray single spectra, γγ coincidences (both in-beam and off-beam), angular distributions of prompt γ-rays and conversion electrons. About 100 γ-rays were assigned to the 38 min decay of ¹³⁷Nd most of which fit into a scheme of 26 deduced levels. From in-beam experiments we tentatively assigned an $\text{11}\text{2}$^? level which is the basis of a strong cascade of stretched E2 transitions with a probable level sequence of $\text{23}\text{2}$^? ?$\text{19}\text{2}$^? ?$\text{15}\text{2}$^? ?$\text{11}\text{2}$^?. The interpretation of this cascade in the framework of a strong coupling model indicates a prolate deformation of ¹³⁷Pr. Another indication for such a deformation was obtained from the very low energy (75 keV) of the first $\text{3}\text{2}$⁺ level which could not be interpreted in an intermediate coupling model, but is suggested by a Nilsson scheme.     

Comments on the multiperipheral production of clusters

A scheme of multiperipheral production of clusters of mass $\text{～1.5}\text{GeV and}\text{〈P}{}_{\mathrm{<mtext>T</mtext>}}\text{〉 ? 850}\text{GeV}$ is shown to be consistent with the phenomenological information available at present. Assorted comments on the implications, advantages, and shortcomings of such a scheme are also made.     

The η-η′ mixing angle and the relative radiative decay rates Γ(ψ→ηγ)Γ(ψ→η′γ)

The problem of η-η′ mixing is reexamined within the nonet scheme. It is shown that the mixing angle θ_p is quite sensitive to a small SU(3) violating $\text{27}$ piece. Taking SU(3) violating q$\text{q}$ annihilation terms into account, we obtain a large ratio $\text{Γ(ψ→ηγ)}\text{Γ(ψ→η′γ)}$ which is largely independent of the mixing angle and agrees with the measured value to within 20–30%.     

Hadronic lepton-pair production beyond the leading order in perturbative QCD

Hadronic lepton-pair production in perturbative QCD is calculated to order $\text{g}{}^{\mathrm{<mtext>2</mtext>}}$ to be usable in combination with the existing calculation of the anomalous dimension of order $\text{g}{}^{\mathrm{<mtext>4</mtext>}}$. The structure function of the subprocess $\text{q}\text{+}\text{q}\text{→ γ +}$ anything in an arbitrary covariant gauge for gluons is found to have gauge-dependent contributions which are exactly cancelled by contributions from operator matrix elements to give the gauge-independent “coefficient function” for lepton-pair production in the minimal subtraction scheme. This provides a consistency check of the perturbative QCD recipe. A comparison is made with other existing calculations.     

Excited levels of 233Pa by alpha decay of 237Np

α-spectrometry using Si(Au) detectors has been performed with thin samples of ²³⁷Np; αγ bi-parametric coincidences have permitted an analysis and unfolding of the spectrum and give data about the level scheme. Direct and α-coincident γ-spectra have been measured using Ge(Li) and Si(Li) detectors, obtaining the characteristic electromagnetic transitions in ²³³Pa. Nine new γ-transitions are found, relative to the most recent compilation made by Ellis. In the level scheme, the existence of a level at 306.1 keV is confirmed. A level at 257.1 keV, previously suggested, is evidenced. The level at 300.5 keV is proposed as the $\text{7}\text{2}{}^{\mathrm{?}}$ component of the $\text{5}\text{2}\text{(523)}$ band, hence proposing the 306.1 keV level as the $\text{7}\text{2}{}^{\mathrm{+}}$ term of the $\text{5}\text{2}\text{(642)}$ band.     

Chaos in numerical analysis of ordinary differential equations

The discretisation of the ordinary nonlinear differential equation $\text{d}\text{y}\text{d}\text{t}\text{= y(1?y)}$ by the entral difference scheme is studied for fixed mesh size. In the usual numerical computation, this method produces some “ghost solution” for the long range calculation. Regarding this discretisation as a dynamical system in R², these pathological behaviors are shown to be a kind of “chaos” in the dynamical system for any mesh size. Moreover, some combination of the central difference scheme and the Euler's scheme is studied for the above equation. It gives some motivation for Hénon's model. The usual discretisation of a second order differential equation are studied also. It gives some chaotic behaviors numerically which is similar to the behavior of the orbits of the system of differential equations proposed by Hénon-Heiles.     

“MC-INDO calculations of LiF,NaCl, LiCl and NaF crystals”

MC-INDO calculations of LiF, NaC$\text{l}$, LiC$\text{l}$ and NaF crystals were performed in order to verify the generality of the parametrisation scheme is proposed. Results indicate that crystalline properties is proposed. Results indicate that the scheme is sufficiently general and an appropriate scaling of the STO's is suggested to improve the agreement with experimental data.     

Properties of quark matter governed by quantum chromodynamics (II). Renormalization schemes in quark matter

Renormalization schemes are examined (in the Coulomb gauge) for quantum chromodynamics in the presence of quark matter. We demand that the effective coupling constant for all schemes become congruent with the vacuum QCD running coupling constant as the matter chemical potential, μ, goes to zero. Also, to enable us to standardize with the vacuum QCD running coupling constant at some asymptotic momentum transfer, $\text{|}\text{p}{}_0\text{|,}\text{we keep}\text{μ ? ¦}\text{p}{}_0\text{¦}$, to ensure that the matter contribution is negligible at this point. This means all schemes merge with vacuum QCD at $\text{|}\text{p}{}_0\text{|}$ and beyond. Two renormalization group invariants are shown to emerge: (i) the effective or invariant charge, g_inv², which is, however, scheme dependent and (ii) g²(M)/S(M), where S(M)^?1 is the Coulomb propagator, which is scheme independent. The only scheme in which g_inv² is scheme independent and identical to g²(M)/S(M) is the screened charged scheme (previous paper) characterised by the normalization of the entire Green function, S^?1, to unity. We conclude that this is the scheme to be used if one wants to identify with the experimental effective coupling in perturbation theory. However, if we do not restrict to perturbation theory all schemes should be allowed. Although we discuss matter QCD in the Coulomb gauge, the above considerations are quite general to gauge theories in the presence of matter.     

Personality parameter detection from speech

A simple binary decision tree technique is applied to a speech spectrum of single words in conjunction with a special technique to compress $\text{20 000 × 20 000}$ data plane to $\text{500 × 500}$ in the first step, and then to 10 identifiable classifiers in the second step. The results of this bit compression/usable information preservation scheme reduce the task of pattern recognition of personality parameters to a manageable one both in a data size and in a processing time sense. Moreover it yields results which are highly correlated with Seagal parameters derived from clinical interviews.     

Dynamical group quantization

The projective unitary irreducible representations U(G) of the space-time symmetry group G provides a unique quantization scheme for elementary particles. By extension a direct method of quantization for more general systems by the projective unitary representations U^$\text{G}$(G) induced from a dynamical group $\text{G}$ is outlined. Reducible relativistic composite systems are defined and the geometry of $\text{G}$ is discussed.     

Baryon exchange effects in dual unitarisation

The effects of baryon exchanges in the renormalisation of Regge trajectories are studied in the dual unitarisation scheme. The main results are that: (i) the pomeron is boosted above α = 1, giving rising total cross sections beyond baryon-antibaryon thresholds, and (ii) the ω trajectory remains approximately at α = 0.5 but acquires a sizeable admixture of the exotic $\text{q}\text{q}\text{qq}$ state, which enhances its coupling to baryons. There are in addition a number of other interesting predictions.     

Decay of 185Au: Sign of shape coexistence in 185Pt

The decay of ¹⁸⁵Au has been studied on-line with mass-separated sources from the ISOCELE facility. Precise conversion-electron measurements have been performed with a 180° magnetic spectrograph. The level scheme of ¹⁸⁵Pt has been established, and the $\text{T}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 33}$ min isomeric state has been located at 103.2 keV with respect to the $\text{T}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 71}$ min ground state. Two highly converted transitions have been observed. The level scheme is discussed in the framework of an “axial-rotor + quasiparticle” approach: numerous states are interpreted assuming a prolate shape of the nucleus. Ten levels with low spin and negative parity ($\text{I ?}\text{7}\text{2}{}^{\mathrm{?}}$) decay mainly to the $\text{1}\text{2}{}^{\mathrm{?}}\text{[521]}$ band via strong M1 transitions and are not expected from the calculations performed with the prolate cores. The possibility of shape coexistence is discussed.     

The bare parameters of Gribov's lagrangian in a simple t-dependent dual bootstrap model

In the context of the “$\text{1}\text{N}$ Dual Unitarization” scheme, we present an explicit dynamical study of the triple bare pomeron mechanism which governs the interaction term in Gribov's lagrangian. Together with the previously established bare pomeron slope and intercept, controlling respectively, the kinetic and mass terms in Gribov's lagrangian, this work demonstrates the viability of the “$\text{1}\text{N}$ Dual Unitarization” approach for a field theory of interaction bare pomerons.     

Repeated zones and Mahan cones in the angular dependence of photoemission

The intensity of photoemission from the Ta-derived d states in the layer compound 1T-TaS₂ has been measured as a function of both polar and azimuthal angle of emission at the photon energy $\text{h}\text{?}\text{ω=21.2}\text{eV}$. The light source was a high intensity He resonance lamp employing an aluminum window in place of the more conventional differentially pumped capillary system. The azimuthal dependence of the d emission displays three kinds of lobes which we refer to as “heads, chins and ears”. The heads and chins are oriented along directions close to the bifurcated lobes observed previously at $\text{h}\text{?}\text{ω=10.2}\text{eV}$. The ear lobes, however, are oriented quite differently and appear only at high polar angles, corresponding to larger relative values of the parallel wavevector. The results can be understood in terms of a repeated zone scheme in which the ears and chins (not necessarily at the same polar angle) correspond to different Mahan cones of the same optical transitions.     

Proton-neutron correlations in nuclei with N = 30

Structure of the nuclei with N = 30 and Z = 20–28 is investigated by the nuclear shell model within the proton-neutron configurations (1f_{$\text{7}\text{2}$})^z?20_p × (2p_{$\text{3}\text{2}$}, 2p_{$\text{case1}\text{2}$}, 1f_{$\text{case5}\text{2}$})²_n. Effective proton-neutron interactions determined by a least-squares fit to the observed spectra of N = 29 nuclei are adopted. Agreement of the calculated spectra with experimental spectra is satisfactory. Strong correlations between protons and neutrons break down the pairing scheme and lower the first J = 2 levels in doubly even nuclei, which is shown from the resultant wave functions. A relation between the shell model and collective rotational model is discussed concerning the calculated rotation-like spectrum of ⁵⁶Fe. Electromagnetic properties and spectroscopic factors of single-nucleon transfer reactions are calculated. They are in good agreement with experiments.     

Yang-Mills instantons and the S-matrix

We present a scheme for calculating gauge-invariant S-matrix elements in the presence of instantons. We exploit the conformal invariance of the zero-mass field equations. The asymptotic in and out states are defined by their values on null infinity $\text{J}$. We use this method to calculate to lowest-order S-matrix elements for scalar particles and fermions in a dilute gas of SU(2) instantons and anti-instantons. The scalar particles acquire an effective mass and an effective interaction of the form $\text{exp}\text{(?(?}{}^2\text{/16π) ?}\text{?}\text{)}$, where ? is the scale of the instanton, plus other interactions which cannot be presented by a local effective lagrangian. The fermions acquire the effective lagrangian obtained by 't Hooft. In the case of a single flavour of fermions, this corresponds to a mass term.     

High spin collective excitations in 101Ru

The energy level structure of ¹⁰¹Ru was studied using the reactions ¹⁰⁰Mo(α, 3n)¹⁰¹Ru and ¹⁰⁰Mo(³He, 2n)¹⁰¹Ru. Excitation functions, γγ coincidences and γ-ray angular distributions were measured. Three ΔI = 2 cascades proceeding to a $\text{5}\text{2}{}^{\mathrm{+}}$, $\text{7}\text{2}{}^{\mathrm{+}}$ and $\text{11}\text{2}{}^{\mathrm{?}}$ state were observed. A decay scheme is presented showing energies up to 5849 keV and spins up to $\text{35}\text{2}$. The bands are discussed within the framework of the Nilsson model with Coriolis coupling in which the recoil effect has been properly introduced.