By using the ^(3)P_(0) pair creation model,we provide a detailed derivation of the transition matrix for a baryon decaying into a meson-baryon system.This analysis was successfully conducted for a meson in[J.Segovia,D...By using the ^(3)P_(0) pair creation model,we provide a detailed derivation of the transition matrix for a baryon decaying into a meson-baryon system.This analysis was successfully conducted for a meson in[J.Segovia,D.R.Entem,and F.Fernandez,Phys.Lett.B 715,322(2012),and we extend the same formalism to the baryon sector,focusing on the △(1232)→πN strong decay width because all hadrons involved in the reaction are very well established,the two hadrons in the final state are stable and require no further analysis,all quarks are light and thus equivalent,and the decay width of the process is relatively well measured.Utilizing a very common Rayleigh-Ritz variational method to solve the 2-and 3-body Schodinger bound-state equation in which the hadron's radial wave functions are expanded in terms of a Gaussian basis,we can relate the expression of the invariant matrix element with the mean-square radii of hadrons involved in the decay.We use their experimental measures in such a way that only the strength of the quark-antiquark pair creation from the vacuum is a free parameter.This is then taken from our previous study on strong decay widths in the meson sector[J.Segovia,D.R.Entem,and F.Fernandez,Phys.Lett.B 715,322(2012),and the obtained results are compatible with the experimental results for the calculated △(1232)→πN decay width.Despite requiring the calculation of additional baryon strong decays,a feasible avenue towards a unified description of both baryon and meson strong decay widths within a single constituent quark model framework may be attainable.Finally,this research has been developed to lay the foundation for a novel raft of applications to exotic hadrons,i.e.,the description of the baryon's coupling to meson-baryon thresholds,one of the mechanisms that is considered to be responsible for providing either a large renormalization to naive states or genuine dynamicallygenerated meson-baryon molecules.展开更多
研究制备了聚1-丁基-3-乙烯基咪唑溴盐(P[BVIM]Br-MNPs)、聚1-己基-3-乙烯基咪唑溴盐(P[HVIM]Br-MNPs)、聚1-辛基-3-乙烯基咪唑溴盐(P[OVIM]Br-MNPs)3种聚离子液体固相吸附剂,考察了P_(2)0_(4)掺杂比、固相吸附剂用量、吸附时间、吸附...研究制备了聚1-丁基-3-乙烯基咪唑溴盐(P[BVIM]Br-MNPs)、聚1-己基-3-乙烯基咪唑溴盐(P[HVIM]Br-MNPs)、聚1-辛基-3-乙烯基咪唑溴盐(P[OVIM]Br-MNPs)3种聚离子液体固相吸附剂,考察了P_(2)0_(4)掺杂比、固相吸附剂用量、吸附时间、吸附温度、水相初始pH和La^(3+)浓度对3种聚离子液体吸附La^(3+)的影响,用Langmuir与Freundlich等温吸附模型对试验数据进行拟合。结果表明:在吸附温度70℃、1 g P[OVIM]Br-MNPs掺杂1 mL P_(2)0_(4)条件下,P[OVIM]Br-MNPs对La^(3+)的饱和吸附量为57.80 mg/g,吸附效果较好,吸附过程以单层吸附为主。展开更多
In this paper,we consider the global error bound for the generalized complementarity problem(GCP)with analytic functions.Based on the new technique,we establish computable global error bound under milder conditions,wh...In this paper,we consider the global error bound for the generalized complementarity problem(GCP)with analytic functions.Based on the new technique,we establish computable global error bound under milder conditions,which refines the previously known results.展开更多
We first propose a new class of smoothing functions for the non- linear complementarity function which contains the well-known Chen-Harker- Kanzow-Smale smoothing function and Huang-Han-Chen smoothing function as spec...We first propose a new class of smoothing functions for the non- linear complementarity function which contains the well-known Chen-Harker- Kanzow-Smale smoothing function and Huang-Han-Chen smoothing function as special cases, and then present a smoothing inexact Newton algorithm for the P0 nonlinear complementarity problem. The global convergence and local superlinear convergence are established. Preliminary numerical results indicate the feasibility and efficiency of the algorithm.展开更多
This paper introduces a new concept of exceptional family forvariational inequality problems with a general convex constrained set. By using this new concept, the authors establish a general sufficient condition for t...This paper introduces a new concept of exceptional family forvariational inequality problems with a general convex constrained set. By using this new concept, the authors establish a general sufficient condition for the existence of a solution to the problem. This condition is weaker than many known solution conditions and it is also necessary for pseudomonotone variational inequalities. Sufficient solution conditions for a class of nonlinear complementarity problems with P0 mappings are also obtained.展开更多
基金Work partially financed by the Escuela Politécnica Nacional under projects PIS-22-04 and PIM 19-01EU Horizon 2020 research and innovation program,STRONG-2020 project,under grant no.824093+1 种基金Ministerio Español de Ciencia e Innovación under grant nos.PID2022-141910NB-I00 and PID2022-140440NB-C22Junta de Andalucía under contract no.PAIDI FQM-370。
文摘By using the ^(3)P_(0) pair creation model,we provide a detailed derivation of the transition matrix for a baryon decaying into a meson-baryon system.This analysis was successfully conducted for a meson in[J.Segovia,D.R.Entem,and F.Fernandez,Phys.Lett.B 715,322(2012),and we extend the same formalism to the baryon sector,focusing on the △(1232)→πN strong decay width because all hadrons involved in the reaction are very well established,the two hadrons in the final state are stable and require no further analysis,all quarks are light and thus equivalent,and the decay width of the process is relatively well measured.Utilizing a very common Rayleigh-Ritz variational method to solve the 2-and 3-body Schodinger bound-state equation in which the hadron's radial wave functions are expanded in terms of a Gaussian basis,we can relate the expression of the invariant matrix element with the mean-square radii of hadrons involved in the decay.We use their experimental measures in such a way that only the strength of the quark-antiquark pair creation from the vacuum is a free parameter.This is then taken from our previous study on strong decay widths in the meson sector[J.Segovia,D.R.Entem,and F.Fernandez,Phys.Lett.B 715,322(2012),and the obtained results are compatible with the experimental results for the calculated △(1232)→πN decay width.Despite requiring the calculation of additional baryon strong decays,a feasible avenue towards a unified description of both baryon and meson strong decay widths within a single constituent quark model framework may be attainable.Finally,this research has been developed to lay the foundation for a novel raft of applications to exotic hadrons,i.e.,the description of the baryon's coupling to meson-baryon thresholds,one of the mechanisms that is considered to be responsible for providing either a large renormalization to naive states or genuine dynamicallygenerated meson-baryon molecules.
文摘研究制备了聚1-丁基-3-乙烯基咪唑溴盐(P[BVIM]Br-MNPs)、聚1-己基-3-乙烯基咪唑溴盐(P[HVIM]Br-MNPs)、聚1-辛基-3-乙烯基咪唑溴盐(P[OVIM]Br-MNPs)3种聚离子液体固相吸附剂,考察了P_(2)0_(4)掺杂比、固相吸附剂用量、吸附时间、吸附温度、水相初始pH和La^(3+)浓度对3种聚离子液体吸附La^(3+)的影响,用Langmuir与Freundlich等温吸附模型对试验数据进行拟合。结果表明:在吸附温度70℃、1 g P[OVIM]Br-MNPs掺杂1 mL P_(2)0_(4)条件下,P[OVIM]Br-MNPs对La^(3+)的饱和吸附量为57.80 mg/g,吸附效果较好,吸附过程以单层吸附为主。
基金supported by National Natural Science Foundation of China(Nos.11171180 and 11101303)Specialized Research Fund for the Doctoral Program of Chinese Higher Education(No.20113705110002)Shandong Provincial Natural Science Foundation(Nos.ZR2010AL005 and ZR2011FL017)
文摘In this paper,we consider the global error bound for the generalized complementarity problem(GCP)with analytic functions.Based on the new technique,we establish computable global error bound under milder conditions,which refines the previously known results.
文摘We first propose a new class of smoothing functions for the non- linear complementarity function which contains the well-known Chen-Harker- Kanzow-Smale smoothing function and Huang-Han-Chen smoothing function as special cases, and then present a smoothing inexact Newton algorithm for the P0 nonlinear complementarity problem. The global convergence and local superlinear convergence are established. Preliminary numerical results indicate the feasibility and efficiency of the algorithm.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 19731001) .
文摘This paper introduces a new concept of exceptional family forvariational inequality problems with a general convex constrained set. By using this new concept, the authors establish a general sufficient condition for the existence of a solution to the problem. This condition is weaker than many known solution conditions and it is also necessary for pseudomonotone variational inequalities. Sufficient solution conditions for a class of nonlinear complementarity problems with P0 mappings are also obtained.
