We reply to the preceding comment.

A complete particle-γ-ray angular correlation has been measured for the decay of the first $2^{+}$ state of ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ excited by ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(200 MeV)${+}^{208}$Pb. The particle-γ-ray correlation, expressed as alignment tensors, proves to be particularly sensitive to the static quadrupole moment of the $2_1^{+}$ state. The derived value of the $2_1^{+}$ static quadrupole moment is ${\mathit{Q}}_2$=(-29±3) e${\mathrm{fm}}^2$ which is (1.56±0.16) times larger than the rotational value.

The photon spectrum from ${\mathit{K}}^{\mathrm{-}}$d→Λnγ at rest has been measured for the first time. We obtained the branching ratio, in the end-point region, of (1.89±0.12±0.28)×${10}^{\mathrm{-}3}$ where the first error is statistical and the second is systematic. We have found that the shape of the photon energy spectrum is consistent with the distribution calculated by Workman and Fearing with Λn scattering lengths and effective ranges predicted by the Nijmegen group.

Total cross sections for the ${}_{}{}^{151,153}{}_{}{}^{}\mathrm{Eu}$(p,n${)}^{151,153}$Gd reactions have been measured between 5 and 12 MeV. We observe a significant (≤35%) enhancement of the cross sections for ${}_{}{}^{153}{}_{}{}^{}\mathrm{Eu}$ relative to ${}_{}{}^{151}{}_{}{}^{}\mathrm{Eu}$ and find that the enhancement below ∼10 MeV is due largely to the shape difference between ${}_{}{}^{151}{}_{}{}^{}\mathrm{Eu}$(${\mathrm{\beta }}_2$=0.13) and ${}_{}{}^{153}{}_{}{}^{}\mathrm{Eu}$(${\mathrm{\beta }}_2$=0.28).

The momentum dependence of the analyzing power ${\mathit{A}}_{\mathit{y}}$ in proton-proton elastic scattering has been measured in small steps using an internal target during polarized beam acceleration from 1 to 3 GeV/c. The momentum bin size ranges from 5 to 18 MeV/c. The relative uncertainty of ${\mathit{A}}_{\mathit{y}}$ is typically less than 0.01 for each momentum bin. Narrow structures have been found in the two-proton invariant mass distribution of ${\mathit{A}}_{\mathit{y}}$.

Significant nuclear polarization of unstable ${}_{}{}^{170}{}_{}{}^{}\mathrm{Tm}$ in ${\mathrm{Tm}}^{2+}$:${\mathrm{SrF}}_2$ has been achieved with optical pumping in solids. The hyperfine coupling constant of divalent ${}_{}{}^{170}{}_{}{}^{}\mathrm{Tm}$ in ${\mathrm{SrF}}_2$ was thus measured for the first time in high precision with the beta-ray radiation detected magnetic resonance, thereby also determining the nuclear magnetic moment: 0.2476(16)${\mathrm{\mu }}_{\mathit{N}}$.

The reaction plane of high-multiplicity Au-Au collisions at 650, 400, 250, 150, and 75 MeV/nucleon was determined by measuring the transverse velocity of charged fragments. Measurements of the collective flow of charged fragments reveal that the onset of flow in high-multiplicity Au-Au collisions occurs at a finite beam energy below 60 MeV/nucleon.

A recent experiment on the ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ fine structure has shown that the branching ratio to ${}_{}{}^{209}{}_{}{}^{}\mathrm{Pb}$ ground state is quite different from the one predicted by the various models of cluster emission. Assuming that the ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ is preformed in the ${}_{}{}^{223}{}_{}{}^{}\mathrm{Ra}$ nucleus, we have calculated the hindrance factor ${\mathit{F}}^{14}$C of the three ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ branches to ${}_{}{}^{209}{}_{}{}^{}\mathrm{Pb}$ states with a barrier penetrability approximated by a square-well Coulomb potential. The ${\mathit{F}}^{14}$C=3.9 and 4.6 values found for the ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ transitions to the two excited states at 779 keV (${\mathit{I}}^{\mathrm{\pi }}$=11/$2^{+}$) and 1423 keV (${\mathit{I}}^{\mathrm{\pi }}$=15/$2^{\mathrm{-}}$), respectively, reveal that the cluster formation amplitudes in both transitions are close to those of the ${}_{}{}^{222}{}_{}{}^{}\mathrm{Ra}$ and ${}_{}{}^{224}{}_{}{}^{}\mathrm{Ra}$ ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ decays. Such values could be the result of ‖nlj〉 shell-model components common to both the wave functions of the octupole deformed ${}_{}{}^{223}{}_{}{}^{}\mathrm{Ra}$ nucleus and of the two first excited states of ${}_{}{}^{209}{}_{}{}^{}\mathrm{Pb}$ spherical nucleus. The high hindrance factor ${\mathit{F}}^{14}$C=583 of the ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ branch to the ${}_{}{}^{209}{}_{}{}^{}\mathrm{Pb}$ ground state (${\mathit{I}}^{\mathrm{\pi }}$=9/$2^{+}$) could reveal the absence of ‖1${\mathit{g}}_{9/2}$〉 shell-model component in the ${}_{}{}^{223}{}_{}{}^{}\mathrm{Ra}$ wave function.

Angular distributions and spectroscopic strengths from the ${}_{}{}^{230}{}_{}{}^{}\mathrm{Th}$(d,t${)}^{229}$Th reaction provide new independent support for the rotational band assignments which led to the proposal of an excited state at ≤5 eV in ${}_{}{}^{229}{}_{}{}^{}\mathrm{Th}$.

The liquid/vapor phase diagram of a Hamiltonian-based model for nuclear dynamics (Quasiparticle dynamics) is determined. Finite size effects in the coexistence region and the time scale for fluctuation growth associated with spinodal decomposition are quantitatively investigated. For finite nuclei, no direct link is found between the phase diagram and either the rate of fluctuation growth or its density dependence.

The real part of the phase shift for elastic neutron-deuteron scattering in the quartet S wave channel, as calculated with the exact three-body theory, assumes at threshold the value π if normalized to zero at infinity; that is, it does not comply with the expectations raised by a naive application of Levinson’s theorem since no bound state exists in this channel. A description of this situation on an equivalent two-body level via a potential, constructed by means of the Marchenko inverse scattering theory, necessitates the introduction of a fictitious bound state. This predominantly attractive, equivalent local potential can be related via supersymmetry to a strictly phase equivalent partner potential. The latter is unique and purely repulsive, a behavior already exhibited by the underlying exact effective neutron-deuteron interaction. At the origin it possesses a singularity of the centrifugal barrier-type which admits of the required zero-energy phase shift value of π by means of a modified version of Levinson’s theorem. Hence, the unphysical bound state of the attractive equivalent local potential plays a role in three-body scattering theory analogous to the one of a Pauli-forbidden state in the context of the resonating group method.

The process γp→${\mathit{K}}^{+}$Λ is studied in a phenomenological approach. A thorough analysis of the existing differential cross section data up to 1.4 GeV, taking into account the systematic uncertainties, shows the Orsay data to be internally inconsistent. Removing this data set from the data base results in a rather simple reaction mechanism with the extracted main kaon-hyperon-nucleon coupling constants in agreement with the SU(3) predictions. Employing a diagrammatic model, the differential and total cross section, Λ-polarization, and polarized target data are well reproduced. Predictions for other single and double polarization observables and suggestions for new measurements are presented. Applying crossing symmetry, the reaction is related to the radiative ${\mathit{K}}^{\mathrm{-}}$ capture process, and a comparison with the measured branching ratio is made.

We suggest an analytic model for the triton asymptotic D to S normalization ratio ${\mathrm{\eta }}^{\mathit{t}}$ and the closely related D-state parameter ${\mathit{D}}_2^{\mathit{t}}$. This model explains correlations among ${\mathit{D}}_2^{\mathit{t}}$/${\mathrm{\eta }}^{\mathit{d}}$ and ${\mathit{E}}_{\mathit{t}}$ and among ${\mathrm{\eta }}^{\mathit{t}}$/${\mathrm{\eta }}^{\mathit{d}}$ and ${\mathit{E}}_{\mathit{t}}$ in three-nucleon calculations, where ${\mathrm{\eta }}^{\mathit{d}}$ is the deuteron asymptotic D to S normalization ratio and ${\mathit{E}}_{\mathit{t}}$ is the triton binding energy. The model yields numerical values of ${\mathrm{\eta }}^{\mathit{t}}$/${\mathrm{\eta }}^{\mathit{d}}$ and ${\mathit{D}}_2^{\mathit{t}}$/${\mathrm{\eta }}^{\mathit{d}}$ in close agreement with results of dynamical three-nucleon calculations. We conclude that ${\mathrm{\eta }}^{\mathit{d}}$, ${\mathit{E}}_{\mathit{t}}$, and other low energy on-shell nucleon-nucleon observables determine the triton asymptotic D-state parameters within an estimated error of 15%.

The inclusive annihilation of antiprotons on deuterium is calculated within a three-body model. At very low antiproton energies (${\mathit{E}}_{\mathit{p}\mathrm{¯}}$<2.2 MeV), structure is observed in the energy spectra of emerging protons at forward angles. The theory can be easily extended to higher antiproton energies.

By using the (in general complex) phase shifts for elastic neutron-deuteron scattering in the quartet channel, calculated by means of the exact few-body theory, as input in the fixed-l inverse scattering theory of Marchenko, we construct equivalent local two-body potentials. The latter, though being complex and energy independent, nevertheless reproduce the input phase shifts, which are real below and complex above the deuteron breakup threshold, to a high accuracy. It is even more remarkable that the scattering wave functions (with real boundary conditions) for energies in the elastic regime, calculated with these potentials, are real outside the range of the force, and to a very good approximation real also in the interior region.

The anomalous signature-dependence of proton ${\mathit{h}}_{11/2}$ rotational bands in ${}_{}{}^{155,157}{}_{}{}^{}\mathrm{Ho}$, ${}_{}{}^{159}{}_{}{}^{}\mathrm{Tm}$, ${}_{}{}^{161,163,165}{}_{}{}^{}\mathrm{Lu}$ after the first band crossing is described in the framework of a model of particles plus symmetric rotor. We take into account rotor’s degree of freedom that it undergoes γ vibration about an axially symmetric equilibrium deformation. By using a set of moments of inertia such that the largest one is around the shortest axis, the essential features of all the energy spectra are reproduced. We have calculated magnetic dipole and electric quadrupole transition strengths with the wave functions obtained, and have found that virtually every characteristic feature of the available experimental data is well reproduced.

The ${}_{}{}^9{}_{}{}^{}\mathrm{Be}$(t,p${)}^{11}$Be reaction has been used to populate the low-lying states with a 15-MeV triton beam. Differential cross sections were measured for nine low-lying states and distorted-wave Born-approximation calculations were used to analyze the data. Contributions from p-shell, ${}_{}{}^{10}{}_{}{}^{}\otimes$(sd${)}^1$, and ${}_{}{}^9{}_{}{}^{}\mathrm{Be}$(g.s.)⊗(sd${)}^2$ configurations were investigated. The dominant structure is suggested for nearly all states investigated in the present work.

The level scheme of the N=78 nucleus ${}_{}{}^{140}{}_{}{}^{}\mathrm{Sm}$ has been investigated via in-beam gamma-ray spectroscopy using the ${}_{}{}^{114}{}_{}{}^{}\mathrm{Cd}$${(}^{30}$Si, 4n) reaction. States up to I=22 and ${\mathit{E}}_{\mathit{x}}$=8101 keV have been established. The level structure above the known isomeric ${10}^{+}$ states is discussed in terms of the coupling between the valence particles or holes and the N=78 and N=80 cores.

The muonic atom 2${\mathit{p}}_{1/2}$-1${\mathit{s}}_{1/2}$ and 2${\mathit{p}}_{3/2}$-1${\mathit{s}}_{1/2}$ transition energies were measured with an experimental accuracy of better than 20 ppm for the isotope chain ${}_{}{}^{112,114,116,117,118,119,120,122,124}{}_{}{}^{}\mathrm{Sn}$. Precise values for the Barrett equivalent nuclear radii ${\mathit{R}}_{\mathit{k}\mathrm{\alpha }}$ and their differences as well as root-mean-square radii were deduced. The ΔN=2 isotope shifts between the even Sn isotopes show a subshell effect at the neutron number N=64. Otherwise, there is a nearly linear decrease with increasing N, in accordance with the general systematics of nuclear charge radii. Our muonic atom results are in a good agreement with recent optical data, including odd-even staggering. Hartree-Fock calculations reproduce the general trend but not the subshell effect. Regarding the nuclear polarization corrections, the problem in the 2p splitting found earlier in ${\mathrm{\mu }}^{\mathrm{-}}$-Zr and ${\mathrm{\mu }}^{\mathrm{-}}$-Pb seems also to persist in ${\mathrm{\mu }}^{\mathrm{-}}$-Sn.