Anisotropy of the Pion Emission and the Nuclear Equation of State

The anisotropy of the pion emission in the collisions of 1.8AGeV Ar+Pb is studied with the VUU model to obtain the information of the nuclear equation of state.We point out that the collective motion of pions in the final state has the final state has the characteristic similar to that of collective correlations of baryons,and the azimuthal anisotropy of pions is a sensitive parameter to the nuclear equation of state in the projectile rapidity region where the absorption of target spectator is weak.Collisions of 1.8AGeV Ar+Pb in the Bevalac streamer chamber are analyzed using the azimuthal correlation function for pions and the results favor the hard nuclear incompressibility.     

The role of the pion pair term in the theory of the weak axial meson exchange currents

The structure of the weak axial pion exchange current is discussed in various models. It is shown how the interplay of the chiral invariance and the double-counting problem restricts uniquely the form of the pion potential term, to the case when the nuclear dynamics is described by the Schrödinger equation with static nucleon-nucleon potential.     

Pion absorption by16O using realistic interactions—II: Free pion absorption followed by emission of proton

Matrix element of the Gallilean invariant nonrelativistic reduction of the pseudoscalar-pseudovector interaction has been calculated for free pion absorption by a single nucleon inside the nucleus of¹⁶O. The Hartree-Fock wavefunctions obtained with the unitary-model-operator approach starting with the hard-core nucleon-nucleon interaction have been used for the π-capturing nucleon in the initial state. The initial pion distortion in the presence of nuclear field of the absorbing nucleus prior to its absorption together with the Coulomb interaction with the finite nuclear size has been taken into account. The distortion of the emitted proton in the field of the residual nucleus has also been considered. The differential cross-sections have been obtained and calculated results are compared with the previous experimental and theoretical work.     

Nuclear effects in neutrino induced coherent pion production at K2K and MiniBooNE

The coherent pion production induced by neutrinos in nuclei is studied using a delta hole model in the local density approximation taking into account the renormalization of Delta properties in a nuclear medium. The pion absorption effects are included in an eikonal approximation. These effects give a large reduction in the total cross section. The numerical results for the total cross section are found to be consistent with recent experimental results from the K2K and MiniBooNE Collaborations and other older experiments in the intermediate energy region.     

Theory of nuclear fission by stopped pions

Nuclear fission by stopped pions is analyzed in a two-step model in which the pion is absorbed on a nucleon pair, followed by the prompt emission of one nucleon and compound nucleus formation by the other. This simple picture yields agreement with observed prompt neutron spectra and average nucleon multiplicities. The analysis of nuclear fission in a statistical framework is shown to provide valuable corroboration of the expected properties of a highly excited compound nucleus and of our understanding of the pion absorption mechanism. The ratio of fission to neutron level density parameters is shown to exceed unity in all cases studied.     

Quenching in the basic πN amplitude for pion-nucleus scattering

An upward shift of the 3,3 resonance energy in pion-nucleus scattering is discussed, which arises from the absorption of the transferred pion in the Chew-Low πN amplitude, when the πN system is embedded in the nuclear medium.     

核物质中内介质等效手征Lagrange量和π介子质量

在核物质中从手征等效Lagrange量得到的π介子有效质量是单值的,并且与π介子场的离壳扩展无关,例如PCAC选择.同位旋对称核物质中的有效π介子质量随增加的核密度有些上升,因此有效类时π介子衰变常数和密度相关的夸克凝聚渐渐下降.另外研究了内介质Gell–Mann–Oakes–Renner关系和其它内介质同一性.最后讨论了同位旋对称、各向同性和均匀的核物质中关于介子传播的等效Lagrange量的几个限制.     

Pion–Rho Meson Lagrangian in Nuclear Matter

We present an in-medium modified pion and rho meson Lagrangian which describes the pion, rho meson and the corresponding soliton properties in nuclear matter. Within the present approach pion properties in nuclear matter is closely related to the low-energy pion-nucleus scattering phenomenology. We discuss the possible modifications of rho meson properties in nuclear matter.     

相对论非对称重离子碰撞中小相对动量区域2π干涉学

用小相对动量区域2π干涉学分析方法研究了相对论非对称重离子碰撞中π介子的吸收存在时对2π干涉学分析所得π源参数的影响,得到了不考虑和考虑π的吸收情况下所得到的源的参数的解析关系.与相对论非对称重离子碰撞1.8A GeVAr+Pb的实验结果进行了对比.     

Medium polarization and short-range effects in the meson exchange charge operator

The role of the medium polarization caused by the pion and rho-meson interactions in nuclear media for the corresponding meson exchange contributions to nuclear charge form factors is investigated. It is shown that the medium polarization and short-range effects slightly reduce the pion exchange contribution but that this reduction is more than compensated for by the ρ-meson exchange contribution. The combined pion and ρ-meson contributions to nuclear charge form factors is larger than previously estimated pion exchange corrections obtained without account of the medium polarization.     

Weak pion production from nuclei

The charged current pion production induced by neutrinos in¹²C,¹⁶O and⁵⁶Fe nuclei has been studied. The calculations have been done for the coherent as well as the incoherent processes assuming Δ dominance and takes into account the effect of Pauli blocking, Fermi motion and the renormalization of Δ in the nuclear medium. The pion absorption effects have also been taken into account     

Pion-induced knock-out reactions

A strong absorption model for pion-induced knock-out reactions is proposed. The distortion of the incoming and outgoing pions has been included by (i) computing the pion wave number in a nuclear medium (dispersive effect) and (ii) excluding the central region of the nucleus where the real pion absorption is dominant (absorption effect). In order to study the dependence of the (π⁺, π⁺p) reaction on the off-shell pion-nucleon t-matrix, different off-shell extrapolations are used. The magnitude of the cross sections seems to be sensitive to the type of off-shell extrapolation; their shapes, however, are similar. The theoretical results are compared with experimental data. The agreement between the theoretical results for separable off-shell extrapolation and the data is good.     

The Goldstone pion and the quark-antiquark pion : (II). Pion size and decay

In a previous paper a model has been presented which treats the pion as a collective superposition of quark-antiquark pairs. The pion wave function has strong admixtures of many-quark-many-antiquark components. This wave function is used to investigate empirical weak and electromagnetic-decay properties of the pion. The results so obtained are consistent with a small intrinsic pion radius, substantially smaller than the measured pion charge radius.     

Pion-nucleus optical potential: The pion-absorption contribution

The real and imaginary parts of pion-nucleus optical potential arising from pion absorption channel have been computed. A two-nucleon model of pion absorption which includesπ andρ rescattering andS-wave interaction has been used. The effects of short-range nucleon-nucleon correlations, Pauli blocking and formfactors have been included. The threshold values of imaginary absorption potential are reasonably close to density-squared terms of phenomenological potentials. The real part ofP-wave potential is attractive and that ofS-wave potential is weakly attractive at lower pion energies and changes sign as pion energy is increased. The calculation shows that the real part of absorption is significantly affected by short-range correlations and Pauli-blocking.     

Beta decay and hyperfine interactions

Experimental searches for the second-class currents and the soft pion effects in the nuclear weak axial currents are discussed. Also discussed are the hyperfine interactions of light interstitial impurities in ferromagnetic Fe and Ni, as well as in fcc and bcc non-magnetic metals. For these spin-ray correlation experiments, it is emphasized that the technical developments and improvements of the nuclear spin control by NMR and the production of polarization in the short-lived nuclear states are vital necessities.     

Charged pion photoproduction from light nuclei

The photoproduction of 0–150-MeV charged pions from light nuclei is studied from a distorted wave impulse approximation (DWIA) approach. The final nuclear states are restricted to a finite set of isospin analogs of excited states of the target nucleus. The final state interactions of the pion with the residual nucleus are incorporated via optical potentials. The elementary photoproduction operator used is that of Blomqvist and Laget which is derived in a general reference frame. To gain insight into the predictive power of this DWIA approach, total and differential cross sections for π^± production from ⁶Li, ⁷Li, ¹⁰B, ¹²C, and ¹⁴N are calculated and compared with available data. It is found that, with a few exceptions, reasonable agreement is obtained between theory and experiment as long as the nuclear wave functions are constrained to fit other electromagnetic and weak processes and the optical potentials are constrained to fit pion-nucleus elastic scattering data. We conclude that, at this stage, using the Blomqvist-Laget operator in a DWIA calculation adequately describes the dynamics of charged pion photoproduction from complex nuclei. We illustrate how this reaction can be used to obtain information on the short range nature of the pion wave function and on nuclear wave functions. Shortcomings of and improvements on this calculation are also suggested.     

Pion condensation in heavy ion collisions

We calculate the pion spectrum in dense nuclear matter for finite temperatures. The critical temperatureT _c(ρ) that marks the beginning of a second order phase transition due to pion condensation is given in a phase diagram. We show that in heavy ion collisions, pion condensation should occur, leading to an enhancement in the formation of nuclear shock waves.     

Self-consistent inclusion of pion polarisation in the relativistic Dirac-Brueckner approach to nuclear matter

We investigate the influence of pion polarisation effects in the Dirac-Brueckner approach. The pion polarisation is included preserving the self-consistency of the DB approach. Results for single-particle properties, equation of state, and total effective cross sections in symmetric nuclear matter are presented. Also, we calculated the pion condensation threshold.