ν = q · P M = E − E is the lepton’s energy loss in the nucleon rest frame (in earlier literature sometimes ν = q · P ). Here, E and E′ are the initial and final lepton energies in the nucleon rest frame. Q = −q2 = 2(EE′−−→k · −→k )−ml −ml′ where ml(ml′) is the initial (final) lepton mass. If EE′ sin(θ/2) ≫ m2l , m2l′ , then ≈ 4EE′ sin(θ/2), where θ is the lepton’s scattering angle with respect ...

&O / ! # O3 4X3 ; 3Y Z [< \ I ] ^[ 3 @ $ _`P / / # # 3 @UNa # I P ] # ) +*, ; 3 +$6 /= ; b ; > # ! c-. $L-< !3\= #2# b d DP $ ;3 e% >$f % # Y Z4] ; # g M Z ! P / Z / 54hP *, B # i3 ] ; D*, Z 5 M I #N Na ; h # 3 *, ) + 5 ! # j$ * k d l Z / b / >$mP ; 4l Z ; ^Von%=? p3 g >q; + M ;3g # M =? / ; 5*, M ;@\ W M! : # %$r / M *, / 9 2X s +I + M ^ = ;3h d t Q=? p3k 5 M $< > u)Vwv1 #*, Z x # W ; M + h >=...

We investigate the polynomials P n ; Q m and R s , having degrees n; m and s respectively, with P n monic, that solve the approximation problem E nms (x) := P n (x)e ?2x + Q m (x)e ?x + R s (x) = O(x n+m+s+2) as x ! 0: We give a connection between the coeecients of each of the polynomials P n ; Q m and R s and certain hypergeometric functions, which leads to a simple expression for Q m in the c...

This experiment was motivated by studying short-range nucleon-nucleon correlations via multinucleon knockout reactions—(e, epN). The data were taken in Hall A at Jefferson Lab using the pair of high resolution spectrometers to detect the (e, ep) reaction data, and using a third large acceptance spectrometer called BigBite to detect the second nucleon ejected from the nucleus. The kinematics wer...

rl .9 .. ~ r l P ~ 0 R ~ :I: !!, ~ N ~ ;. ~ < = _. ~ ~ . M (b ~ , '" Q .. 3 g~ q S ' ~ 0: ('i ' ~ 9 ~ ~ ::. ,," .., tö .. :0 ~ " P ~ p. . P 0 O Q 3 (b ~ (b ... o: ::t ' A ~ < : ~ :r tT 1 ,., ,., P g: ~ ~ 3' § ;I: g 8. ~ g. 3 ~ ~ ,z ~ ~ ~ Z ~ . ~ ('i ' ~ gS ' ~ C l. ~ ~ ij, ' (b g~ ('i ' ~ t" "' t:: Z ~ ~ "Q . Q . < n Q . 01 ~ c: : ~ n ~ ~ 0 ~ . (b ~ '" '" (b (b ~ M (b ~ .., ~ :r tT 1 Z > ~ ~ ~ ...

Suppose that (R,m) is a local Noetherian or a standard-graded ring of dimension d containing a field K of positive characteristic p. Let I denote an m-primary ideal and set I [q] = (f q : f ∈ I), q = p. The function e 7→ λ(R/I [p e]), where λ denotes the length, is called the Hilbert-Kunz function of the ideal I and was first considered by Kunz in [9]. Monsky showed in [12] that this function h...

Let q,p be distinct primes with p — ef + 1. A variant of the Kummer-Dedekind theorem is proved for Gaussian periods, which shows in particular that q is an e-th power (modp) if and only if the Gaussian period polynomial of degree e has e (not necessarily distinct) linear factors (modg). This is applied to give a simple criterion in terms of the parameters in the partitions p = 8 / + 1 = X 2 + Y...