Comprehensive application of a coupled-channel complex scaling method to the (K)over-bar N-π Y system

被引：17

作者：

Dote, A. ^{[1
,2
]}

Inoue, T. ^{[3
]}

Myo, T. ^{[4
]}

机构：

[1] High Energy Accelerator Org KEK, KEK Theory Ctr, Inst Particle & Nucl Studies, Tsukuba, Ibaraki 3050801, Japan

[2] KEK, IPNS, KEK Theory Ctr, J PARC Branch, Tokai, Ibaraki 3191106, Japan

[3] Nihon Univ, Coll Bioresource Sci, Fujisawa, Kanagawa 2520880, Japan

[4] Osaka Inst Technol, Osaka 5358585, Japan

来源：

NUCLEAR PHYSICS A | 2013年 / 912卷

关键词：

Complex scaling method; (K)over-tilde N-pi Y system; Lambda(1405); Scattering amplitude; Chiral SU(3) theory; KAONIC HYDROGEN; CHIRAL DYNAMICS; STATES; LAMBDA(1405); CONSTRAINTS; RESONANCES; DENSITY;

D O I：

10.1016/j.nuclphysa.2013.05.003

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We have applied the coupled-channel complex scaling method (ccCSM) to (K) over bar N-pi Y system. One advantage of ccCSM is that resonant states as well as scattering states can be treated in the same framework. For the interactions in the system, we have constructed a meson baryon potential-matrix by basing on the chiral SU(3) theory and respecting the (K) over bar N scattering length obtained in the Martin's analysis. For future purpose to apply it more complicated system such as (K) over bar N N, we adopt a local Gaussian form in the r-space. We have investigated both the non-relativistic (NR) and the semi-relativistic (SR) kinematics. In the SR case, two types of the potentials are obtained. To test the constructed potentials, we have calculated scattering amplitudes and searched resonances. One resonance pole, corresponding to Lambda(1405), is found in isospin I = 0 system around (1419, -20) MeV ((1425, -25) or (1419, -13) MeV) on complex-energy plane with the NR (SR) kinematics. Mean distance between meson and baryon in the resonant state is 1.3 - i0.3 fm (1.2 - i0.5 fm) for NR (SR), in which the states are treated as Gamow states. In addition, we have observed a signature of another pole in lower-energy region involving large decay width, although they are unstable against the change of scaling angle theta. This may correspond to the lower pole of the double-pole of Lambda(1405) discussed in literature today. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：66 / 101

页数：36

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