Pion pion scattering is studied in a generalized linear sigma model which contains two scalar nonets (one of quark-antiquark type and the other of diquark-antidiquark type) and two corresponding pseudoscalar nonets. An interesting feature concerns the mixing of the four isosinglet scalar mesons which yield poles in the scattering amplitude. Some realism is introduced by enforcing exact unitarity via the K-matrix method. It is shown that a reasonable agreement with experimental data is obtained up to about 1 GeV. The poles in the unitarized scattering amplitude are studied in some detail. The lowest pole clearly represents the sigma meson (or f0 (600)) with a mass and decay width around 500 MeV. The second pole invites comparison with the f0(980) which has a mass around 1 GeV and decay width around 100 MeV. The third and fourth poles, resemble some of the isosinglet state in the complicated 1-2 GeV region. Some comparison is made to the situation in the usual SU(3) linear sigma model with a single scalar nonet.

It has become clearer recently that the regular pattern of three flavor nonets describing the low spin meson multiplets seems to require some modification for the case of the spin 0 scalar mesons. One picture which has had some success, treats the scalars in a chiral Lagrangian framework and considers them to populate two nonets. These are, in turn, taken to result from the mixing of two "bare" nonets, one of which is of quark-antiquark type and the other of two quark-two antiquark type. Here we show that such a mixing is, before chiral symmetry breaking terms are included, only possible for three flavors. In other cases, the two types of structure can not have the same chiral symmetry transformation property. Specifically, our criterion would lead one to believe that scalar and pseudoscalar states containing charm would not have "four quark" admixtures. This work is of potential interest for constructing chiral Lagrangians based on exact chiral symmetry which is then broken by well known specific terms. It may also be of interest in studying some kinds of technicolor theories.

A simple gauged linear sigma model with several parameters to take the symmetry breaking and the mass differences between the vector meson and the axial vector meson into account is considered here as a possibly useful template for the role of a light scalar in QCD as well as for (at a different scale) an effective Higgs sector for some recently proposed walking technicolor models. An analytic procedure is first developed for relating the Lagrangian parameters to four well established (in the QCD application) experimental inputs. One simple equation distinguishes three different cases:1. QCD with axial vector particle heavier than vector particle, 2. possible technicolor model with vector particle heavier than the axial vector one, 3. the unphysical QCD case where both the KSRF and Weinberg relations hold. The model is applied to the s-wave pion-pion scattering in QCD. Both the near threshold region and (with an assumed unitarization) theglobal region up to about 800 MeV are considered. It is noted that there is a little tension between the choice of bare sigma mass parameter for describing these two regions. If a reasonable globa fit is made, there is some loss of precision in the near threshold region.Comment: 19 pages, 9 figure

1) On the left hand side of the second line of Eq. (30), the plus sign within the square root should be exchanged with the À sign outside the square root. However the right hand side is correct as it stands.(2) The two sentences before Eq. (51) and Eq. (51) itself should be replaced by:The needed intermediate quantity cos½2ð À Þ may be obtained from Eq. (36) by construction of suitable right triangles to be:cos½2ð À Þ % cosc À ðt þ uÞ sinc 9 :We then find to first order in ðt; uÞ=,which is just the zeroth order result.(3) The two sentences after Eq. (51) should be deleted.(4) In the next to last sentence of section V, replace the word ''small'' by ''zero''.(5) Delete the next to last paragraph of section VI.PHYSICAL REVIEW D 82, 079902(E) (2010) 1550-7998= 2010=82(7)=079902(1) 079902-1

The emergence of new banking channels like as phone banking, Internet banking, Automated Teller Machines (ATM), furthermore developing financial market & global competition have constrained bankers to explore the importance of customer loyalty. For the banks to be successful in the intensively competitive environment, they are bound to attach importance to customer loyalty. The aim of this study is to investigate how the behavior and intentions of the respondents will be influenced by different factors of customer loyalty. The objectives of the current study are of two folds; firstly, to examine the relationship of trust, customer satisfaction and service quality with customer loyalty. Secondly, to determine which factor influenced customer loyalty the most? Data was collected through non probability convenience sampling, from a sample of 496 respondents by using a self-administered questionnaire. The collected Data was analyzed through regression technique using SPSS 17. Results of the current study reveal that trust, customer satisfaction and service quality has significant effect on customer loyalty. But the relationship or trust with customer satisfaction is not proved. Moreover the study revealed that customer satisfaction is found as the most influential variable for customer loyalty. The managerial implication of this research is the considerations of bank managers for the enhancement of their customer loyalty.