Effective Theory for Neutron-deuteron Scattering and the Triton

نویسنده

  • H.-W Hammer
چکیده

We apply the effective field theory approach to the three-nucleon system. In particular , we consider neutron-deuteron scattering and the triton. Precise predictions for S = 3/2 scattering are obtained in a straightforward way. In the S = 1/2 channel, however, a unique nonperturbative renormalization takes place which requires the introduction of a three-body force at leading order. We also show that invariance under the renormalization group explains some universal features of the three-nucleon system.

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

Effective Range in Doublet S-wave Neutron-Deuteron Scattering

The effective field theory approach is applied to the three-nucleon process of S = 1/2 neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the power counting, following a recent suggestion in the literature. It is shown that with this procedure, while the convergence of the loop integrals improves, ...

متن کامل

Regularized zero-range model and an application to the triton and the hypertriton

We examine the regularized zero-range model in an application to three-fermion systems – the triton and the hypertriton. We consider bound states and low-energy neutron-deuteron and lambda-deuteron scattering. The model is shown to provide an adequate quantitative description of these system on a par with finite-range potential models. The well known correlation between the doublet nd scatterin...

متن کامل

Parity Violation in Neutron Deuteron Scattering in Pionless Effective Field Theory

PARITY VIOLATION IN NEUTRON DEUTERON SCATTERING IN PIONLESS EFFECTIVE FIELD THEORY

متن کامل

Description of the Low-energy Doublet Neutron-deuteron Scattering on the Basis of the Triton Bound and Virtual State Parameters

Low-energy doublet neutron-deuteron scattering is described on the basis of the triton bound and virtual state parameters — the energies and the nuclear vertex constants of these states. The van Oers-Seagrave formula is derived from the Bargmann representation of the S matrix for a system having two states. The presence of a pole in this formula is shown to be a direct corollary of the existenc...

متن کامل

Improved Convergence in the Three-Nucleon System at Very Low Energies

Neutron-deuteron scattering in the context of “pion-less” Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of the deuteron wave-function, a procedure known as Z-parameterisation and extended here to the three-nucleon system. The improvement is particularly striking in...

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 1998