On the structure of the πd amplitude neat the ΔN threshold

An Efficient Numerical Algorithm for Calculation of Matrix Elements of Trinucleon System with Realistic Potentials

“…In HHEM the few-nucleon wave function is expanded into a complete set of hyperspherical harmonics (HH) [ 1 ] spanning the angular hyperspace (I2). Substitution of this expansion into the Schrrdinger equation and projection onto a particular HH gives a set of coupled differential eTS eigenvalue equations for the partial waves U2K+L(r ).…”

“…However, in this case we can include the factor (1-x) -v with the potential function V(r x/~ + x)/2) and rewrite Eq. (2) as 1 Since, again we get a finite set of allowed n" values and the potential multipole an,,(r ) exists, the modified procedure will be valid.…”

“…One of the important tools for the solution of a few-body Schr6dinger equation is the hyperspherical harmonics expansion method (HHEM) [ 1]. Ever since its development in the early 1970s, the method has extensively been used in molecular, atomic, nuclear, and quark bound state problems [2].…”

Multiquark states

“…Yu.A. Simonov proposed the quark compound bag model and various dibaryon resonances were predicted [38]. E.L. Lomon extended the R-matrix formalism to dibaryon studies [39].…”

Dibaryon resonances

“…Поэтому для получе-ния нерезонансной, фоновой, а по су-ществу, основной части амплитуды (во всяком случае при углах, меньших 90°) использовалась теория Глаубера, и к этой амплитуде добавлялся резонанс-ный член, который улучшал согласие с экспериментом в области больших уг-лов. В работе 63 вводилось три диба-рионных резонанса ( 66 , но все они приводят к малым значениям^ 0,1). В работе 67 х = Γβ 2 -*πά /Гва-п+np вычислялось на основе предложенной модели для волновой функции квар-косых подсистем в мешке.…”