arXiv subjects
Publications and source records attributed to C. Ciofi degli Atti.
Inclusive and exclusive electro-disintegration of 2-H, 3-He and 4-He are calculated within an approach where, besides the final state interaction (FSI), also the finite formation time (FFT) of the hit hadron to its asymptotic physical state is taken into account.
The effects of the final state interaction (FSI) in semi-exclusive deep-inelastic scattering of electrons off the deuteron are analyzed paying particular attention to two extreme kinematical regions: i) the one where FSI effects are minimized, so that the quark distribution of bound nucleons could be investigated, and ii) the one where the re-interaction of the produced hadrons with the spectator nucleon is maximized, which would allow one to study the mechanism of hadronization of highly virtual quark. It is demonstrated that when the recoiling spectator nucleon is detected in the backward hemisphere with low momentum the effects from FSI are negligible, whereas at large transverse momenta of the spectator the FSI effects are rather large. Numerical estimates show that the FSI corrections are sensitive to the theoretical models of the hadronization mechanism.
The rescattering contribution to the inclusive and exclusive deuteron electro-disintegration at the values of the Bjorken scaling variable $x=1$, as well as in the so called {\it cumulative} region ($x>1$) is calculated within a relativistic approach based on the Feynman diagram formalism taking into account colour transparency effects by the inclusion of the {\it finite formation time} (FFT) of the ejected nucleon via the introduction of the dependence of the scattering amplitude of the ejectile upon its virtuality. In the cumulative region the FFT effects which result from the real part of the ejectile propagator are taken into account. It is found that the relative weight of the rescattering steadily grows with $x$ becoming of the order of unity at $x>1.4÷1.5$. At such values of $x$ the finite formation time effects become fairly visible, which may serve for their study at relatively small value of the four-momentum transfer$Q^2$. The relativistic rescattering contribution is compared with the Glauber rescattering, which is shown to be not valid in the cumulative region starting from $x>1.4$.
The two-proton emission process $^3He(e,e'pp)n$ is theoretically investigated using realistic three-nucleon wave functions and taking the final state interaction into account by an approach which can be used when the value of the three-nucleon invariant mass is either below or above the pion emission threshold. Various kinematical conditions which enhance or minimize the effects of the final state interaction are thoroughly analyzed.
The final state interaction in DIS of leptons off a nucleus A, due to the propagation of the struck nucleon debris and its hadronization in the nuclear environment is considered. The effective cross section of such a partonic system with the nucleons of the medium and its time dependence are estimated on the basis of a model which takes into account the production of hadrons due to the breaking of the color string and to gluon radiation. It is shown that the details of the propagation of the partonic system in the nuclear environment can be thoroughly investigated by the semi-inclusive process A(e,e'(A-1))X, in which the scattered lepton is detected in coincidence with the nucleus (A-1) in low energy and momentum states. The rescattering of the struck nucleon debris with the medium damps and distorts the momentum distributions of (A-1) in a way which is very sensitive to the details of effective cross section of the debris. The total cross section of the process on ^4He, ^16O, and ^40Ca, related to the probability that after a target nucleon experiences a DIS process, the recoiling (A-1) nucleus remains intact, is evaluated, and the distorted momentum distribution of the recoiling (A-1) system is obtained. It is shown that both quantities are very sensitive to the details of the early stage of hadronization of the nucleon debris in the nuclear medium.
The two nucleon emission process from ^3He, ^3He(e,e'N_2N_3)N_1, has been theoretically analyzed using realistic three-nucleon wave functions and taking the final state interaction into account. Various kinematical conditions have been considered in order to clarify the question whether the effects of the final state interaction could be minimized by a proper choice of the kinematics of the process.
The two nucleon emission process off ^3He induced by medium energy electrons has been theoretically analyzed using realistic three-nucleon wave functions and taking the final state interaction into account. Various kinematical conditions have been considered in order to clarify the question whether the effects of the final state interaction could be minimized by a proper choice of the kinematics.
Finite Formation Time (FFT) effects in the exclusive reaction ^4He(e,e'p)^3H at high values of Q^2 are introduced and discussed. It is shown that the minimum in the momentum distributions predicted by the Plane Wave Impulse Approximation (PWIA), which is filled by the Glauber-type Final State Interaction (FSI), is completely recovered when FFT effects are taken into account. The semi-inclusive process ^4 He(e,e'p)X is also investigated.
We discuss a new approach to final state interactions, that keeps explicitly into account the virtuality of the ejected nucleon in quasi-elastic $A(e,e'p)X$ scattering at very large $Q^2$, and we present some recent results, at moderately large $Q^2$ values, for the nuclear transparency in $^4He$, $^{16}O$ and $^{40}Ca$ and for the momentum distributions of $^4He$.
The role of the final state interactions (FSI) in the inclusive quasi-elastic disintegration of the deuteron is investigated treating the two-nucleon final state within the exact continuum solutions of the non-relativistic Schroedinger equation, as well as within the Glauber multiple scattering approach. It is shown that for values of the Bjorken scaling variable $x_{Bj}\simeq 1$ both approaches provide similar results, unless the case $x_{Bj}\gtrsim 1$, where they appreciably disagree. It is demonstrated that present experimental data, which are mostly limited to a region of four-momentum transfer ($Q^2 \lesssim 4 (GeV/c)^2$) where the Center-of-Mass energy of the final state is below the pion threshold production, can be satisfactorily reproduced by the approach based on the exact solution of the Schroedinger equation and not by the Glauber approach. It is also pointed out that the latter, unlike the former, does not satisfy the inelastic Coulomb sum rule, the violation being of the order of about 20%.
The recent TJLAB experimental data on inclusive electron scattering at high momentum transfer from complex nuclei are analyzed in terms of y-scaling, taking into account the final state interaction (FSI) of the struck, off-shell nucleon. It is shown that at large negative values of y (x>1), the Q^2 dependence of the FSI is mostly driven by the elastic nucleon-nucleon cross section, and that, as a result, the scaling function decreases with Q^2, in agreement with experimental data.
The nuclear transparency and the distorted momentum distributions of 4He in the semi-inclusive process 4He(e,e'p)X are calculated within the Glauber multiple scattering approach using for the first time realistic four-body variational wave functions embodying central and non-central nucleon-nucleon (N-N) correlations. The contributions from N-N correlations and from Glauber multiple scattering are taken into account exactly to all orders. It is shown that non-central correlations significantly affect both the transparency and the distorted momentum distributions; as a matter of fact: i) the small (approx 3%) value of the effect of correlations on the transparency results from an appreciable cancellation between the short-range central repulsive correlations and the intermediate-range attractive correlations, whose magnitude is significantly affected by the non-central forces, and ii) the effect of Glauber final state interactions on the momentum distribution is reduced by the inclusion of tensor correlations.
The distorted one-body mixed density matrix, which is the basic nuclear quantity appearing in the definition of the cross section for the semi-inclusive A(e,e'p)X processes, is calculated within a linked-cluster expansion based upon correlated wave functions and the Glauber multiple scattering theory to take into account the final state interaction of the ejected nucleon. The nuclear transparency for 16O and 40Ca is calculated using realistic central and non-central correlations and the important role played by the latter is illustrated.
Realistic solutions of the spinor-spinor Bethe-Salpeter equation for the deuteron with realistic interaction kernel including the exchange of pi, sigma, omega, rho, eta and delta mesons, are used to systematically investigate relativistic effects in inclusive quasi-elastic electron-deuteron scattering within the relativistic impulse approximation. Relativistic y-scaling is considered by generalising the non relativistic scaling function to the relativistic case, and it is shown that y-scaling does occur in the usual relativistic scaling variable resulting from the energy conservation in the instant form of dynamics. The present approach of y-scaling is fully covariant, with the deuteron being described by eight components, viz. the 3S_1^{++}, 3S_1^{--}, 3D_1^{++}, 3D_1^{--}, 3P_1^{+-}, 3P_1^{-+}, 1P_1^{+-}, 1P_1^{-+} waves. It is demonstrated that if the negative relative energy states 1P_1, 3P_1 are disregarded, the concept of covariant momentum distributions N(p_0,p), with p_0=M_D/2-\sqrt{p^2+m^2}, can be introduced, and that calculations of lectro-disintegration cross section in terms of these distributions agree within few percents with the exact calculations which include the 1P_1, 3P_1 states, provided the nucleon three momentum |p|\<= 1 GeV/c; in this momentum range, the asymptotic relativistic scaling function is shown to coincide with the longitudinal covariant momentum distribution.
It is shown that in semi-inclusive deep inelastic scattering (DIS) of electrons off a complex nucleus A, the detection, in coincidence with the scattered electron, of a nucleus (A-1) in the ground state, as well as of a nucleon and a nucleus (A-2), also in the ground state, may provide unique information on several long standing problems, such as : i) the nature and the relevance of the final state interaction in DIS; ii) validity of the spectator mechanism in DIS; iii) the medium induced modifications of the nucleon structure function; iv) the origin of the EMC effect.
The basic approximations leading to non-relativistic and relativistic nuclear y and x scaling are recalled. The general and systematic features of y-scaling structure functions are pointed out, and a recently proposed novel approach to y-scaling, based on a global scaling variable, y_G, which incorporates the effect of the momentum dependence of the nucleon removal energy, and therefore allows the establishment of a direct link between scaling functions and momentum distributions, is illustrated and applied to the analysis of a large body of data. The phenomenon of nuclear x-scaling, based on a proper analysis of nuclear quasi-elastic data in terms of the Bjorken scaling variable x_B, is shown to occur at high values of the four-momentum transfer Q^2; the usefulness of nuclear x scaling is pointed out.
A linked cluster expansion for the distorted one-body mixed density matrix is obtained within the Glauber multiple scattering theory with correlated wave functions. The nuclear transparency for 16O is calculated using realistic central and non-central correlations. The convergence of the expansion is investigated in the case of 4He for which the transparency and the distorted momentum distributions are calculated to all order in the correlations using a variational wave function obtained from realistic NN interactions. The important role played by non central correlations is illustrated.
Nuclear effects in polarized inelastic electron scattering off polarized $^3He$ and polarized $^2H$ are discussed; in the resonance region, Fermi motion effects are found to be much larger than in deep inelastic scattering. It is shown that improperly describing nuclear dynamics would lead to the extraction of unreliable neutron spin structure functions; on the other hand side, simple and workable equations, relating the Gerasimov -- Drell -- Hearn Integral for the neutron to the corresponding quantity for $^3He$ and $^2H$, are proposed. Nuclear effects in the recent E143 data are estimated by a proper procedure.