Faddeev description of two-hole–one-particle motion and the single-particle spectral function

نویسندگان

  • C. Barbieri
  • W. H. Dickhoff
چکیده

The Faddeev technique is employed to address the problem of describing the influence of both particleparticle and particle-hole phonons on the single-particle self-energy. The scope of the few-body Faddeev equations is extended to describe the motion of two-hole–one-particle ~two-particle–one-hole! excitations. This formalism allows one to sum both particle-particle and particle-hole phonons, obtained separately in the random phase approximation. The appearance of spurious solutions for the present application of the Faddeev method is related to the inclusion of a consistent set of diagrams. The formalism presented here appears practical for finite nuclei and achieves a simultaneous inclusion of particle-particle and particle-hole phonons to all orders while the spurious solutions are properly eliminated.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

82 v 1 1 9 O ct 2 00 4 Self - consistent Green ’ s function calculations of 16 O at small missing energies

Calculations of the one-hole spectral function of 16 O for small missing energies are reviewed. The self-consistent Green's function approach is employed together with the Faddeev equations technique in order to study the coupling of both particle-particle and particle-hole phonons to the single-particle motion. The results indicate that the characteristics of hole fragmentation are related to ...

متن کامل

Faddeev Random Phase Approximation for molecules

Abstract The Faddeev Random Phase Approximation is a Green’s function technique that makes use of Faddeev-equations to couple the motion of a single electron to the two-particle–one-hole and two-hole–one-particle excitations. This method goes beyond the frequently used third-order Algebraic Diagrammatic Construction method: all diagrams involving the exchange of phonons in the particle-hole and...

متن کامل

Faddeev treatment of long - range correlations and the one - hole spectral function of 16

The Faddeev technique is employed to study the influence of both particle-particle and particle-hole phonons on the one-hole spectral function of O. Collective excitations are accounted for at a random phase approximation level and subsequently summed to all orders by the Faddeev equations to obtain the nucleon selfenergy. An iterative procedure is applied to investigate the effects of the self...

متن کامل

Hole spectral function and two-particle-one-hole response propagator.

The fragmentation of one-nucleon knock-out strength at low energies is considered from the viewpoint of the two particle-one hole ~and two holeone particle! response propagator. The aim is to deal with particleparticle ~and hole-hole! as well as particle-hole collectivity simultaneously. This is achieved on a TammDancoff level by the so-called Faddeev approximation of the 2p1h propagator. Resul...

متن کامل

Faddeev Approach to the Study of One- and Two-hole Spectral Functions

Theoretical calculations of oneand two-hole spectral functions for the O nucleus are still failing to describe some of the important features observed experimentally. Of critical importance for the solution of these issues is to obtain an appropriate description of the interplay between hole-hole and particle-hole excitations. A formalism is reviewed here that allows the consistent treatment of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001