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Scale Invariance in Heavy Hadron Molecules
2017-05-05  【 】【打印】【关闭

Institute of Theoretical Physics

Chinese Academy of Sciences

 Key Laboratory of Theoretical Physics

Seminar

Title

题目

Scale Invariance in Heavy Hadron Molecules

Speaker

报告人

Dr. Manuel Pavon Valderrama

Affiliation

所在单位

北京航空航天大学

Date

日期

2017年5月5日(周五)上午10:45

Venue

地点

Conference Hall 322, ITP
 

Abstract

摘要

When pions are exchanged almost on-shell the range of hadron interactions is unusually long, opening the possibility to interesting phenomena. One example is the Lambda_c(2590) -> Sigma_c pi transition, which is mediated by the emission of an S-wave pion near the mass-shell. Other more well-known example is the D* -> D \pi transtion, though in this case the pion is in P-wave. When we combine both vertices to obtain the Lambda_c(2590) Dbar -> Sigma_c D*bar potential, the result is a long-range inverse square potential. With this potential the Lambda_c(2590) Dbar - Sigma_c D*bar system becomes scale invariant, i.e. it is symmetric under dilatations, a property which is also shared by two- and three-body systems with large scattering lengths. This symmetry is however anomalous and is broken by the spectrum, which can at most display a discrete form of it if the interaction is strong enough. We explore where this is the case in the Lambda_c(2590) Dbar - Sigma_c D*bar system, which is a candidate for a molecular explanation of the recently observed heavy pentaquark Pc(4450)+, or in other hadron molecules. In addition we consider what happens when we have a Lambda_c(2590) Sigma_c (or anti Sigma_c) molecule. In this latter case the potential is of the 1/r type, but which an unusual long-range, behaving as Coulomb for typical hadronic scales. The interesting point here is that this coulomb-like potential probably holds an S-wave shallow state, making for a nice prediction of a near-threshold hadron molecule.

Contact person

所内联系人

郭奉坤
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