K-Matrix Formalism for Three-Body Scattering and Bound-State Scattering

نویسندگان

  • Nobuhiko MISHIMA
  • Miwae YAMAZAKI
چکیده

In this paper we introduce K matrix for three-body scattering and develop the K-matrix formalism corresponding to Faddeev's T-matrix formalism.l) In a previous paper ) (which is referred to, hereinafter, as A), brief but extensive explanations have been given for Faddeev's T-matrix formalism. The K-matrix formalism will be described in parallel with it. The symbols in A are also used here without explanation. We start frmn the Lippman-Schwinger equation for the three-body scattering matrix T(z),

برای دانلود رایگان 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

محاسبه سطح مقطع جزیی انتقال حالت به حالت بار به روش فادیف

  A second-order approximation to the Faddeev-Watson-Lovelace treatment of the rearrangement channel is used in a three-body scattering cross sections. In this formalism, the Three-body wave function is expressed by three coupled integral equations, the Faddeev equations, which contian the two-body (off-shell) transition amplitudes, and proved the uniqueness of their solutions. This amplitude c...

متن کامل

محاسبه سطح مقطع جزئی و کل در تقریب مرتبه دوم بورن- فادیف در برخورد پوزیترون با اتم هیدروژن در کانال تهییج

In this paper, we have implemented a three-body formalism, where the interaction potential is replaced by the transition matrix, in the excitation channel for the collision of positron and atomic hydrogen. Differential and total cross sections are calculated while the first and second order terms of the FWL (Faddeev-Watson-Lovelace) series in the transition from ground state to the first excite...

متن کامل

Loosely bound three - body nuclear systems in the J - matrix approach

We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely-bound 11Li and 6He nuclei within three-body cluster models 9Li + n + n and α + n + n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles assoc...

متن کامل

NONDYNAMICAL ANALYSIS OF SPIN AMPLITUDES IN PION-PROTON ELASTIC SCATTERING IN OPTIMAL FORMALISM AT 6.0 GeV/C

Optimal conditions are used in nondynamical formalism to diagonalize the pionproton reaction matrix as much as possible. Invariance laws are imposed to simplify the relationship between observables and bilinear combination of amplitudes. Transverse amplitudes are determined by using measured polarization parameter in xfp elastic scattering at 6.0 GeVIC

متن کامل

اندازه‌گیری مشاهده‌پذیرهای کانال تجزیه سه‌جسمی برای بخشی از فضای فاز پراکندگی دوترون- دوترون در انرژی برنوکلئون

Information obtained from nucleus as a bound system of nucleons and from nucleon-nucleon scattering experiments is a strong tool for studying various aspects of nuclear forces. Deuteron-deuteron scattering as a four-nucleon system can provide useful information. So, scattering experiment of a polarized beam of deuteron with kinetic energy of65 MeV/nucleon from a liquid-deuterium target was done...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004