Detailed angular distributions have been measured for Li elastic and inelastic scattering to the first 2 state in Li (projectile excitation) and the first 2+, 3, and 5 states in Ca at E( Li) =34MeV. Distorted-wave Born approximation and coupled-channels calculations of the inelastic processes were carried out with both Woods-Saxon and microscopic double-folded real optical potentials. No renormalization of the real double-folded potential is needed to fit the elastic data when the contribution from the ground state quadrupole moment of Li is accounted for in coupledchannels calculations, otherwise a renormalization of 0.6 is required. Moreover, these coupledchannels calculations matched the phase of the oscillations in the projectile excitation data, while calculations employing a Woods-Saxon real potential did not. The calculations for the excitation of states in Ca were insensitive to the form of real potential chosen.
Two-proton correlation functions have been measured at 0] b 25 for the "forward kinematics" reactions ' N+ Al, ' N+ ' Au at E/A = 75 MeV, for the "inverse kinematics" reaction Xe+ Al at E/3 =31 MeV, and for the nearly symmetric reaction ' Xe+' Sn at E/3 =31 MeV. For the reactions at 75 MeV per nucleon, the correlation functions exhibit pronounced maxima at relative proton momenta, q =20 MeV/c, and minima at q =0 MeV/c. These correlations indicate emission from fast, nonequilibrium processes. They are analyzed in terms of standard Gaussian source parametrizations and compared to microscopic simulations performed with the Boltzmann-Uehling-Uhlenbeck equation. For the reactions at 31 MeV per nucleon, the two-proton correlation functions do not exhibit maxima at q =20 MeV/c, but only minima at q=0 MeV/c. These correlations indicate emission on a slower time scale. They can be reproduced by calculations based on the Weisskopf . ";ormula for evaporative emission from fully equilibrated compound nuclei. For all reactions, the measured longitudinal and transverse correlation functions are very similar, in agreement with theoretical predictions.
Two-proton correlation functions measured for the 14 N + 27 A1 reaction at E/A~15 MeV are compared to correlation functions predicted for collision geometries obtained from numerical solutions of the Boltzmann-Uehling-Uhlenbeck (BUU) equation. The calculations are in rather good agreement with the experimental correlation function, indicating that the BUU equation gives a reasonable description of the space-time evolution of the reaction. PACS numbers: 25.70.Np Microscopic models of intermediate-energy nucleusnucleus collisions have been successfully based on the semiclassicalBoltzmann-Uehling-Uhlenbeck (BUU) equation' which describes the temporal evolution of the one-body density under the influence of the nuclear mean field and individual nucleon-nucleon collisions. In this paper we report the first quantitative test of the spacetime geometry predicted by solutions of the BUU equation by using the technique of two-proton intensity interferometry 2 which utilizes the space-time sensitivity of the two-proton correlation function at small relative momenta. 2 " 11 For this purpose, we have measured twoproton correlation functions with high statistical accuracy for the relatively light projectile-target combination ,4 N+ 27 A1, at El A = 75 MeV. For such a light system, numerical calculations can be performed with good accuracy and modest amounts of CPU time.The experiment was performed with a 14 N beam of E/A=15MeV extracted from the K1200 cyclotron of the National Superconducting Cyclotron Laboratory at Michigan State University. An 27 A1 target of 15 mg/ cm 2 areal density was used. Protons were detected with two AE-E detector arrays consisting of 300-400-jumthick silicon AE detectors and 10-cm-long CsI(Tl) or Nal(Tl) E detectors. An array consisting of 37 SiCsI(Tl) telescopes 12 was centered at the polar and azimuthal angles of 0 = 25° and 0=0°; each of its detectors had a solid angle of Aft =0.37 msr and a nearestneighbor spacing of A0 = 2.6°. Another array consisting of 13 Si-Nal(Tl) telescopes was centered at 0 = 25° and 0=90°; each of its detectors had a solid angle of AH =0.5 msr and a nearest-neighbor spacing of A0=4.4°. Coincidence and downscaled singles data were taken simultaneously. Energy calibrations are accurate to better than 2%. Typical detector energy resolutions were of the order of 2% and 1% for protons of 40 and 100 MeV, respectively. All the data were corrected for random coincidences and had a software energy threshold of 10 MeV.The experimental two-proton correlation function R(q) is defined in terms of the coincidence yield F(pi, P2) and the single-proton yields Y(p\) and F(p2): ZK(pi,p 2 )-C[l+/?(?)]£ K(p,)K(p 2 ).(0Here, pi and P2 are the laboratory momenta of the two protons, and q = j \p\ -P2I is the relative momentum of the proton pair. For each experimental gating condition, the sums on both sides of Eq. (l) are extended over all energy and detector combinations corresponding to specific relative momentum bins. The normalization constant C is determined from the requirement R(q)=0 at...
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.