Elastic and inelastic proton scattering on 7Li nuclei within diffraction theory

Abstract

There is a calculation of the differential cross sections of proton scattering on 13 С and С nuclei at energy of 1 GeV with the shell model 15 wave functions in the framework of the Glauber theory in the study. The single, double and triple collisions have been taken into account in the multiple scattering operator. The role of each term of the series and their interference in the differential cross section have been estimated. It is shown that for a description of the cross sections in a wide angle/momentum transfer range it is necessary to consider not only the first, but the higher scattering orders.

Inelastic p 9Be scattering and halo structure of the J π = 1/2+ excited state of the 9Be nucleus

“…Ве SCATTERING WITHIN THE GLAUBER MODEL The matrix elements (amplitudes) for elastic scattering were calculated in [6][7][8][9] on the basis of the Glauber model with three-particle wave functions. We will now dwell on basic points of the derivation of the matrix elements for inelastic scattering.…”

“…The values of the amplitude parameters σ pj , ε pj , and β pj at various energies are given in [6,9]. In employing, in the matrix element (7), the wave function for the 9 Ве nucleus within the 2αn model, it is also convenient to recast the operator Ω into a form adequate to this model by considering collisions with alpha-particle clusters as structureless objects and with the remaining nucleon rather than with individual target nucleons.…”

“…It is loosely bound in the channels 9 Ве → 8 Ве + n [1] and 9 Ве → α + α + n [1] (the respective binding energies are ε = 1.67 MeV and ε = 1.57 MeV), this being a direct indication of its three-particle α + α + n structure. The wave functions calculated on the basis of the α + α + n model [2][3][4][5], which take this circumstance into account, describe well the static properties of the 9 Ве nucleus; electromagnetic form factors; and observables of elastic π 9 Ве, K 9 Ве, and p 9 Ве scattering [2][3][4][5][6][7][8][9]. The 9 Ве nucleus is a Borromean nucleus, since, within the α + α + n three-particle picture, there are no two components that could form a bound system (the same is true for 6 He in the α + n + n channel and for 11 Li in the 9 Li + n + n channel).…”

“…The wave functions calculated on the basis of the α + α + n model [2][3][4][5], which take this circumstance into account, describe well the static properties of the 9 Ве nucleus; electromagnetic form factors; and observables of elastic π 9 Ве, K 9 Ве, and p 9 Ве scattering [2][3][4][5][6][7][8][9]. The 9 Ве nucleus is a Borromean nucleus, since, within the α + α + n three-particle picture, there are no two components that could form a bound system (the same is true for 6 He in the α + n + n channel and for 11 Li in the 9 Li + n + n channel). The value of the ground-state root-mean-square radius of this nucleus ( r 2 1/2 = 2.45(1) fm) [1] is not indicative of the presence of a halo structure in it, but, in its first excited state, whose spin-parity and energy are J π = 1/2 + and E * = 1.68 MeV, respectively, the rootmean-square radius is larger ( r 2 1/2 = 2.83 fm).…”

“…In [6], two of the present authors took into account the contribution of the J π = 1/2 + inelastic channel to the cross section for elastic p 9 Ве scattering at E = 220 MeV. The total cross section calculated within Glauber's theory for transitions to the ground and first excited states was compared with experimental data [11] where scattering to the 1/2 + level at E * = 1.68 MeV was not resolved since the accuracy of the detecting equipment used was not higher than 2 MeV.…”