8. Kapitel: Der Gegenentwurf zur funktionalen Methode – die substanzielle Methode („unitary approach”)

2021 ◽  
pp. 247-260
Keyword(s):  
Unitary Approach

scholarly journals Role of N*(1535) in the Λ+c → K0ηp decay and the possible фp state in the Λ+c → π0фp decay

2020 ◽  
Vol 241 ◽  
pp. 02010
Author(s):  
Ju-Jun Xie ◽  
Li-Sheng Geng ◽  
Feng-Kun Guo
Keyword(s):  
Invariant Mass ◽  
Mass Distribution ◽  
Final State Interaction ◽  
Invariant Mass Distribution ◽  
Lagrangian Model ◽  
Final State ◽  
Peak Structure ◽  
Effective Lagrangian ◽  
Unitary Approach ◽  
Chiral Unitary Approach

The nonleptonic weak decays of Λ+c → K0ηp and Λ+c → π0фp are investigated from the viewpoint of probing the N*(1535) resonance and the possible фp state. For the Λ+c → K0ηp decay, we study the invariant mass distribution of ηp with both the chiral unitary approach and an effective Lagrangian model. Within the chiral unitary approach, the N*(1535) resonance is dynamically generated from the final state interaction of mesons and baryons in coupled channels. While for the effective Lagrangian model, we take a Breit-Wigner formula for the N*(1535) resonance. We found that the behavior of the N*(1535) resonance in the Λ+c → K0N*(1535) → K0ηp decay within the two approaches is different. For the Λ+c → π0фp decay, we consider a triangle singularity mechanism, where the Λ+c decays into the K*Σ*(1385), the Σ*(1385) decays into the π0Σ/Λ, and then the K*Σ/Λ merge to produce the фp in the final state. This mechanism produces a peak structure around 2020 MeV. In addition, the possibility that there is a hidden-strange pentaquark-like state is also considered by taking into account the final state interactions of K*Λ, K*Σ, and фp. We conclude that it is difficult to search for the hidden-strange state in this decay. However, we do expect nontrivial behavior in the фp invariant mass distribution. The proposed Λ+c decay mechanism here can provide valuable information on the properties of these nuclear resonances and can in principle be tested by experiments such as BESIII, LHCb and Belle-II.

scholarly journals Role of scalar $$a_0(980)$$ in the single Cabibbo suppressed process $$D^+ \rightarrow \pi ^{+} \pi ^{0} \eta $$

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Man-Yu Duan ◽  
Jun-Ya Wang ◽  
Guan-Ying Wang ◽  
En Wang ◽  
De-Min Li
Keyword(s):  
Invariant Mass ◽  
Mass Distributions ◽  
Unitary Approach ◽  
Chiral Unitary Approach ◽  
Free Parameters ◽  
Cabibbo Suppressed ◽  
Dalitz Plots

AbstractTaking into account that the scalar $$a_0(980)$$ a 0 ( 980 ) can be dynamically generated from the pseudoscalar-pseudoscalar interaction within the chiral unitary approach, we have studied the single Cabibbo suppressed process $$D^+\rightarrow \pi ^+\pi ^0\eta $$ D + → π + π 0 η . We find clear peaks of $$a_0(980)^+$$ a 0 ( 980 ) + and $$a_0(980)^0$$ a 0 ( 980 ) 0 in the $$\pi ^+\eta $$ π + η and $$\pi ^0\eta $$ π 0 η invariant mass distributions, respectively. The predicted Dalitz plots of $$D^+\rightarrow \pi ^+\pi ^0\eta $$ D + → π + π 0 η also manifest the significant signals for $$a_0(980)^+$$ a 0 ( 980 ) + and $$a_0(980)^0$$ a 0 ( 980 ) 0 states. The uncertainties of the results due to the free parameters are also discussed. Our study shows that the process $$D^+\rightarrow \pi ^+\pi ^0\eta $$ D + → π + π 0 η can be used to explore the nature of the scalar $$a_0(980)$$ a 0 ( 980 ) , thus we encourage the experimental physicists to measure this reaction with more precision.

scholarly journals What is a rite? Émile Durkheim, a hundred years later

2018 ◽  
Vol 2 (1) ◽  
pp. 115-126 ◽  
Author(s):  
Lorenzo D’Orsi ◽  
Fabio Dei
Keyword(s):  
Twentieth Century ◽  
Social Relations ◽  
Social Bond ◽  
Western World ◽  
Emile Durkheim ◽  
Scientific Thought ◽  
Theoretical Approaches ◽  
Unitary Approach ◽  
Collective Representations

Abstract This paper is focused on the anthropological concept of ritual, starting from Emile Durkheim's approach in Les formes élémentaires de la vie religieuse (1912). We discuss three different aspects of the Durkheimian perspective on religion and rituals: a) the sacred/profane dichotomy; b) the concept of collective representations - which establishes a substantial continuity between religious and scientific thought; c) a ‟practical” and performative interpretation of rites as the basis of social bond. During the twentieth century, these aspects have influenced different and sometimes opposing theoretical approaches (including ‟symbolist” and ‟neo-intellectualist” theories and Victor Turner's ‟anthropology of experience”). We briefly review each of them, arguing for the importance of reconsidering them into a unitary perspective, centred on religious phenomena as basically moral experiences and as the language of social relations. In the conclusions, we will show how such unitary approach helps us understand the transformations as well as the continuities of rituality in the individualized and secularized societies of what we call nowadays the Western world.

scholarly journals Dynamically generated 0+ heavy mesons in a heavy chiral unitary approach

2006 ◽  
Vol 641 (3-4) ◽  
pp. 278-285 ◽  
Author(s):  
Feng-Kun Guo ◽  
Peng-Nian Shen ◽  
Huan-Ching Chiang ◽  
Rong-Gang Ping ◽  
Bing-Song Zou
Keyword(s):  
Heavy Mesons ◽  
Unitary Approach ◽  
Chiral Unitary Approach
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